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Heteroaggregation Of Lignin-Zein Nanoparticles: Effects Of Relative Size And Concentration, Yada Chulakham Jan 2022

Heteroaggregation Of Lignin-Zein Nanoparticles: Effects Of Relative Size And Concentration, Yada Chulakham

LSU Master's Theses

Nanotechnology has become an advanced tool for manufacturing materials of the future. As the size of a material is reduced to a nanoscale, its surface area to volume ratio increases drastically, and its surface property becomes size dependent. This allows scientists to make use of unique properties that nanomaterials have to offer to create novel materials that otherwise could not have been achieved in meter-scale materials. As more industrial companies have planned to incorporate different types of nanomaterials into their products, it is undeniable that some of these nanomaterials will be released to the environment. Such possibility has led to …


Deformed No-Core Shell Model And Symplectic Effective Field Theory, David Kekejian Jan 2022

Deformed No-Core Shell Model And Symplectic Effective Field Theory, David Kekejian

LSU Doctoral Dissertations

Most nuclei are deformed! This simple fact has been established since Bohr and Mot- telson, and successfully demonstrated from first principles by nuclear structure calculations carried out using the ab-initio Symmetry-Adapted No-Core Shell Model (SA-NCSM) us- ing realistic interactions. This simple fact has been the main driver towards understanding the underlying physics; namely, that symplectic symmetry describes deformation and is a dominant symmetry in all nuclei independent of A (nucleon number) and of the realistic interaction used. These two simple observations laid the foundation of this thesis work to explore the applications of symplectic symmetry towards defining a deformed symplectic …


Connecting Ansatz Expressibility To Gradient Magnitudes And Barren Plateaus, Zoe Holmes, Kunal Sharma, M Cerezo, Patrick Coles Jan 2022

Connecting Ansatz Expressibility To Gradient Magnitudes And Barren Plateaus, Zoe Holmes, Kunal Sharma, M Cerezo, Patrick Coles

Faculty Publications

Parametrized quantum circuits serve as ansatze for solving variational problems and provide a flexible paradigm for the programming of near-term quantum computers. Ideally, such ansatze should be highly expressive, so that a close approximation of the desired solution can be accessed. On the other hand, the ansatz must also have sufficiently large gradients to allow for training. Here, we derive a fundamental relationship between these two essential properties: expressibility and trainability. This is done by extending the well-established barren plateau phenomenon, which holds for ansatze that form exact 2-designs, to arbitrary ansatze. Specifically, we calculate the variance in the cost …


Pharos The Egyptian And The Gothic Other As Excess, Shruti Jain, Kaushik Tekur Venkata Jan 2022

Pharos The Egyptian And The Gothic Other As Excess, Shruti Jain, Kaushik Tekur Venkata

Tête à Tête: Journal of Francophone Studies

Guy Boothby’s Pharos the Egyptian, published in 1889, employs the category of the Gothic to discuss various anxieties plaguing the late Victorian society. It deals with issues such as the Gothic Other’s ‘magical’ capabilities, revenge, disease, and the colonial extraction of wealth, among others. The novel overwhelms the binary between the rational European self and the Gothic colonial other by presenting the Egyptian Pharos not as an opposite but as an excess of the European self. Pharos is as rational as he is Gothic and in this excess of being both, he destabilizes the hierarchy and binary at once. …


Using Memory Forensics To Analyze Programming Language Runtimes, Modhuparna Manna Jan 2022

Using Memory Forensics To Analyze Programming Language Runtimes, Modhuparna Manna

LSU Doctoral Dissertations

The continued increase in the use of computer systems in recent times has led to a significant rise in the capabilities of malware and attacker toolkits that target different operating systems and their users. Over the last several years, cybersecurity threat reports have documented numerous instances of users that were targeted by governments, intelligence agencies, and criminal groups, and the result was that the victims ended up having highly sophisticated malware installed on their systems. Unfortunately, the rise of these threats has not been met with equal research and development of defensive mechanisms that can detect and analyze such malware. …


Application Of Gravity Data For Hydrocarbon Exploration Using Machine Learning Assisted Workflow, Oluwafemi Temidayo Alaofin Jan 2022

Application Of Gravity Data For Hydrocarbon Exploration Using Machine Learning Assisted Workflow, Oluwafemi Temidayo Alaofin

LSU Master's Theses

Gravity survey has played an essential role in many geoscience fields ever since it was conducted, especially as an early screening tool for subsurface hydrocarbon exploration. With continued improvement in data processing techniques and gravity survey accuracy, in-depth gravity anomaly studies, such as characterization of Bouguer and isostatic residual anomalies, have the potential to delineate prolific regional structures and hydrocarbon basins. In this study, we focus on developing a cost-effective, quick, and computationally efficient screening tool for hydrocarbon exploration using gravity data employing machine learning techniques. Since land-based gravity surveys are often expensive and difficult to obtain in remote places, …


Search For Continuous Gravitational Waves From 20 Accreting Millisecond X-Ray Pulsars In O3 Ligo Data, R. Abbott, T. D. Abbott, F. Acernese, K. Ackley, C. Adams Jan 2022

Search For Continuous Gravitational Waves From 20 Accreting Millisecond X-Ray Pulsars In O3 Ligo Data, R. Abbott, T. D. Abbott, F. Acernese, K. Ackley, C. Adams

Faculty Publications

Results are presented of searches for continuous gravitational waves from 20 accreting millisecond x-ray pulsars with accurately measured spin frequencies and orbital parameters, using data from the third observing run of the Advanced LIGO and Advanced Virgo detectors. The search algorithm uses a hidden Markov model, where the transition probabilities allow the frequency to wander according to an unbiased random walk, while the J-statistic maximum-likelihood matched filter tracks the binary orbital phase. Three narrow subbands are searched for each target, centered on harmonics of the measured spin frequency. The search yields 16 candidates, consistent with a false alarm probability of …


Dynamic Correlation Estimators For Bivariate Brownian And Geometric Brownian Motions, Majnu John, Yihren Wu Jan 2022

Dynamic Correlation Estimators For Bivariate Brownian And Geometric Brownian Motions, Majnu John, Yihren Wu

Journal of Stochastic Analysis

No abstract provided.


Reef Sediments Can Act As A Stony Coral Tissue Loss Disease Vector, Michael S. Studivan, Ashley M. Rossin, Ewelina Rubin, Nash Soderberg, Daniel M. Holstein, Ian C. Enochs Jan 2022

Reef Sediments Can Act As A Stony Coral Tissue Loss Disease Vector, Michael S. Studivan, Ashley M. Rossin, Ewelina Rubin, Nash Soderberg, Daniel M. Holstein, Ian C. Enochs

Faculty Publications

Stony coral tissue loss disease (SCTLD) was first observed in 2014 near Virginia Key in Miami-Dade County, Florida. Field sampling, lab experiments, and modeling approaches have suggested that reef sediments may play a role in SCTLD transmission, though a positive link has not been tested experimentally. We conducted an ex situ transmission assay using a statistically-independent disease apparatus to test whether reef sediments can transmit SCTLD in the absence of direct contact between diseased and healthy coral tissue. We evaluated two methods of sediment inoculation: batch inoculation of sediments collected from southeast Florida using whole colonies of diseased Montastraea cavernosa, …


Towards A Quantum Notion Of Covariance In Spherically Symmetric Loop Quantum Gravity, Rodolfo Gambini, Javier Olmedo, Jorge Pullin Jan 2022

Towards A Quantum Notion Of Covariance In Spherically Symmetric Loop Quantum Gravity, Rodolfo Gambini, Javier Olmedo, Jorge Pullin

Faculty Publications

The covariance of loop quantum gravity studies of spherically symmetric space-times has recently been questioned. This is a reasonable worry, given that they are formulated in terms of slicing-dependent variables. We show explicitly that the resulting space-times, obtained from Dirac observables of the quantum theory, are covariant in the usual sense of the way-they preserve the quantum line element-for any gauge that is stationary (in the exterior, if there is a horizon). The construction depends crucially on the details of the Abelianized quantization considered, the satisfaction of the quantum constraints, and the recovery of standard general relativity in the classical …


Towards A Quantum Notion Of Covariance In Spherically Symmetric Loop Quantum Gravity, Rodolfo Gambini, Javier Olmedo, Jorge Pullin Jan 2022

Towards A Quantum Notion Of Covariance In Spherically Symmetric Loop Quantum Gravity, Rodolfo Gambini, Javier Olmedo, Jorge Pullin

Faculty Publications

The covariance of loop quantum gravity studies of spherically symmetric space-times has recently been questioned. This is a reasonable worry, given that they are formulated in terms of slicing-dependent variables. We show explicitly that the resulting space-times, obtained from Dirac observables of the quantum theory, are covariant in the usual sense of the way-they preserve the quantum line element-for any gauge that is stationary (in the exterior, if there is a horizon). The construction depends crucially on the details of the Abelianized quantization considered, the satisfaction of the quantum constraints, and the recovery of standard general relativity in the classical …


A Case Study Of Fourth Grade Students' Literacy Difficulties With Mathematical Word Problems, Rosalind Hudson Jan 2022

A Case Study Of Fourth Grade Students' Literacy Difficulties With Mathematical Word Problems, Rosalind Hudson

LSU Doctoral Dissertations

ABSTRACT

Students have had difficulties with mathematical word problems since they were introduced in their early elementary grades. Elementary teachers have dealt with student difficulties in solving mathematical word problems. In addition, elementary teachers are always implementing and searching for research-based strategies to remediate the deficits in solving mathematical word problems. Year after year across the United States, local education agencies implement math and reading curriculums to support students learning in mathematical word problem solving with reading comprehension, but students are still not able to describe their difficulties when they are given mathematical word problems to solve with all the …


The Zagreb Index Of Several Random Models, Panpan Zhang Jan 2022

The Zagreb Index Of Several Random Models, Panpan Zhang

Journal of Stochastic Analysis

No abstract provided.


Role Of International Research Experiences In The Development Of Women Of Color In Chemistry, R D. Davis, L Winfield, D Spivak, Z S. Wilson-Kennedy, R D. Davis Jan 2022

Role Of International Research Experiences In The Development Of Women Of Color In Chemistry, R D. Davis, L Winfield, D Spivak, Z S. Wilson-Kennedy, R D. Davis

Faculty Publications

As undergraduate students cultivate their scientific knowledge and abilities, several high-impact educational practices such as undergraduate research and global experiences have proven exponentially beneficial for their development and success. Current literature on underrepresented racial and ethnic minorities has focused primarily on the impact of undergraduate research on this subpopulation. However, fewer studies have explored the impact of global research experiences and women of color in international research experiences. Grounded in the theoretical frameworks of Social Cognitive Career Theory, Intersectionality, and Community Cultural Wealth, this present study explored the impact of international undergraduate research experiences on women of color from groups …


Current Methods And Future Directions In Avian Diet Analysis, Brandon D. Hoenig, Allison M. Snider, Anna M. Forsman, Keith A. Hobson, Steven C. Latta, Eliot T. Miller, Michael J. Polito, Luke L. Powell, Samantha L. Rogers, Thomas W. Sherry, David P.L. Toews, Andreanna J. Welch, Sabrina S. Taylor, Brady A. Porter Jan 2022

Current Methods And Future Directions In Avian Diet Analysis, Brandon D. Hoenig, Allison M. Snider, Anna M. Forsman, Keith A. Hobson, Steven C. Latta, Eliot T. Miller, Michael J. Polito, Luke L. Powell, Samantha L. Rogers, Thomas W. Sherry, David P.L. Toews, Andreanna J. Welch, Sabrina S. Taylor, Brady A. Porter

Faculty Publications

Identifying the composition of avian diets is a critical step in characterizing the roles of birds within ecosystems. However, because birds are a diverse taxonomic group with equally diverse dietary habits, gaining an accurate and thorough understanding of avian diet can be difficult. In addition to overcoming the inherent difficulties of studying birds, the field is advancing rapidly, and researchers are challenged with a myriad of methods to study avian diet, a task that has only become more difficult with the introduction of laboratory techniques to dietary studies. Because methodology drives inference, it is important that researchers are aware of …


Estimating Water Transport From Short-Term Vessel-Based And Long-Term Bottom-Mounted Acoustic Doppler Current Profiler Measurements In An Arctic Lagoon Connected To The Beaufort Sea, Chunyan Li, Kevin Mershon Boswell Jan 2022

Estimating Water Transport From Short-Term Vessel-Based And Long-Term Bottom-Mounted Acoustic Doppler Current Profiler Measurements In An Arctic Lagoon Connected To The Beaufort Sea, Chunyan Li, Kevin Mershon Boswell

Faculty Publications

Acoustic Doppler current profilers (ADCP) are quasi-remote sensing instruments widely used in oceanography to measure velocity profiles continuously. One of the applications is the quantification of land–ocean exchange, which plays a key role in the global cycling of water, heat, and materials. This exchange mostly occurs through estuaries, lagoons, and bays. Studies on the subject thus require that observations of total volume or mass transport can be achieved. Alternatively, numerical modeling is needed for the computation of transport, which, however, also requires that the model is validated properly. Since flows across an estuary, lagoon, or bay are usually non-uniform and …


Guesswork With Quantum Side Information, Eric P. Hanson, Vishal Katariya, Nilanjana Datta, Mark M. Wilde Jan 2022

Guesswork With Quantum Side Information, Eric P. Hanson, Vishal Katariya, Nilanjana Datta, Mark M. Wilde

Faculty Publications

What is the minimum number of guesses needed on average to guess a realization of a random variable correctly The answer to this question led to the introduction of a quantity called guesswork by Massey in 1994, which can be viewed as an alternate security criterion to entropy. In this paper, we consider the guesswork in the presence of quantum side information, and show that a general sequential guessing strategy is equivalent to performing a single quantum measurement and choosing a guessing strategy based on the outcome. We use this result to deduce entropic one-shot and asymptotic bounds on the …


Testing Effects Of Lorentz Invariance Violation In The Propagation Of Astroparticles With The Pierre Auger Observatory, P. Abreu, M. Aglietta, J. M. Albury, I. Allekotte, K. Almeida Cheminant Jan 2022

Testing Effects Of Lorentz Invariance Violation In The Propagation Of Astroparticles With The Pierre Auger Observatory, P. Abreu, M. Aglietta, J. M. Albury, I. Allekotte, K. Almeida Cheminant

Faculty Publications

Lorentz invariance violation (LIV) is often described by dispersion relations of the form E-i(2) = m(i)(2) + p(i)(2) + delta E-i,n(2+ n) with delta different based on particle type i, with energy E, momentum p and rest mass m. Kinematics and energy thresholds of interactions are modified once the LIV terms become comparable to the squared masses of the particles involved. Thus, the strongest constraints on the LIV coefficients delta(i,n) tend to come from the highest energies. At sufficiently high energies, photons produced by cosmic ray interactions as they propagate through the Universe could be subluminal and unattenuated over cosmological …


Testing Xrf Identification Of Marine Washover Sediment Beds In A Coastal Lake In Southeastern Texas, Usa, Harry F. L. Williams, Chelsea E. Beaubouef, Kam-Biu Liu, Nicholas Culligan, Lance Riedlinger Jan 2022

Testing Xrf Identification Of Marine Washover Sediment Beds In A Coastal Lake In Southeastern Texas, Usa, Harry F. L. Williams, Chelsea E. Beaubouef, Kam-Biu Liu, Nicholas Culligan, Lance Riedlinger

Faculty Publications

This study tests the ability of a novel approach to identifying washover beds in coastal lakes. Combined X-Ray Fluorescence (XRF) and cluster analysis was used to identify hurricane washover beds in sediment cores from Clam Lake on the McFaddin National Wildlife Refuge in southeastern Texas. The lake is known to contain washover beds from recent hurricanes, but the washover sediment has similar microfossil, loss-on-ignition and textural characteristics to non-washover sediment and is not readily distinguishable. Sediment cores taken from marshes surrounding the lake do contain visually-recognizable sandy washover beds of Hurricanes Ike, Rita, Carla and Audrey. XRF analysis of these …


Modeling Crash Severity And Collision Types Using Machine Learning, Amit Kumar, Hari Krishnan Melempat Kalapurayil Jan 2022

Modeling Crash Severity And Collision Types Using Machine Learning, Amit Kumar, Hari Krishnan Melempat Kalapurayil

Publications

Traffic safety analysis is the fundamental step for reducing economic, social, and environmental cost incurred due to traffic accidents. The essence of traffic safety is understanding the factors affecting crash occurrence, injury severity and collision type and their underlying relationships and predict-prevent future crash instances. Crash injury severity studies in past have utilized numerous statistical, econometric and Machine Learning (ML) and Artificial Intelligence (AI) tools to extract the underlying relationship between the crash causal factors and the consequent severity or collision type. The study aims to explore the Multi-Label Classification (MLC) tool from the domain of Artificial Intelligence (AI) for …


Impact Report, 2021-2022, Lsu Libraries Jan 2022

Impact Report, 2021-2022, Lsu Libraries

Libraries Impact Reports

No abstract provided.


A Longitudinal Investigation Of The Semantic Receptive-Expressive Gap In Spanish-English Bilingual Children, Todd A. Gibson, Elizabeth D. Peña, Lisa M. Bedore, Kevin S. Mccarter Jan 2022

A Longitudinal Investigation Of The Semantic Receptive-Expressive Gap In Spanish-English Bilingual Children, Todd A. Gibson, Elizabeth D. Peña, Lisa M. Bedore, Kevin S. Mccarter

Faculty Publications

Although a semantic receptive-expressive gap appears to be a universal feature of early bilingualism, little is known about its development. We sought to determine if the magnitude of the discrepancy between receptive and expressive standard scores changed over time in bilingual children’s two languages. In this longitudinal study, standardized receptive and expressive semantics tests of 106 Spanish-English bilingual children with TD were taken at kindergarten and first grade in both English and Spanish. We used a multivariate analysis approach to identify interactions and main effects. Although both receptive and expressive standard scores improved across the year in both languages, the …


Lsu General Catalog 2022-2023, Louisiana State University And Agricultural And Mechanical College Jan 2022

Lsu General Catalog 2022-2023, Louisiana State University And Agricultural And Mechanical College

LSU General Catalog

The LSU General Catalog describes all undergraduate and graduate departments and programs with degree requirements and courses offered for each one. The LSU General Catalog includes information on registration and financial aid as well as academic services offered to all students.


Monitoring Leaf Phenology In Moist Tropical Forests By Applying A Superpixel-Based Deep Learning Method To Time-Series Images Of Tree Canopies, Guangqin Song, Shengbiao Wu, Calvin K.F. Lee, Shawn P. Serbin, Brett T. Wolfe, Michael K. Ng, Kim S. Ely, Marc Bogonovich, Jing Wang, Ziyu Lin, Scott Saleska, Bruce W. Nelson, Alistair Rogers, Jin Wu Jan 2022

Monitoring Leaf Phenology In Moist Tropical Forests By Applying A Superpixel-Based Deep Learning Method To Time-Series Images Of Tree Canopies, Guangqin Song, Shengbiao Wu, Calvin K.F. Lee, Shawn P. Serbin, Brett T. Wolfe, Michael K. Ng, Kim S. Ely, Marc Bogonovich, Jing Wang, Ziyu Lin, Scott Saleska, Bruce W. Nelson, Alistair Rogers, Jin Wu

Faculty Publications

Tropical leaf phenology—particularly its variability at the tree-crown scale—dominates the seasonality of carbon and water fluxes. However, given enormous species diversity, accurate means of monitoring leaf phenology in tropical forests is still lacking. Time series of the Green Chromatic Coordinate (GCC) metric derived from tower-based red–greenblue (RGB) phenocams have been widely used to monitor leaf phenology in temperate forests, but its application in the tropics remains problematic. To improve monitoring of tropical phenology, we explored the use of a deep learning model (i.e. superpixel-based Residual Networks 50, SP-ResNet50) to automatically differentiate leaves from non-leaves in phenocam images and to derive …


E-Cigarette Device And Liquid Characteristics And E-Cigarette Dependence: A Pilot Study Of Pod-Based And Disposable E-Cigarette Users, Elizabeth K. Do, Katie O'Connor, Siobhan N. Perks, Eric K. Soule, Thomas Eissenberg, Michael S. Amato, Amanda L. Graham, Corby K. Martin, Christoph Höchsmann, Bernard F. Fuemmeler Jan 2022

E-Cigarette Device And Liquid Characteristics And E-Cigarette Dependence: A Pilot Study Of Pod-Based And Disposable E-Cigarette Users, Elizabeth K. Do, Katie O'Connor, Siobhan N. Perks, Eric K. Soule, Thomas Eissenberg, Michael S. Amato, Amanda L. Graham, Corby K. Martin, Christoph Höchsmann, Bernard F. Fuemmeler

Clinical Research Faculty Publications

Background: E-cigarette device and liquid characteristics, such as electrical power output and liquid nicotine concentration, determine the rate at which nicotine is emitted from the e-cigarette (i.e., nicotine flux), and thus are likely to influence user nicotine dependence. We hypothesize that nicotine flux would be associated with the E-cigarette Dependence Scale (EDS) among pod-based and disposable e-cigarette products. Methods: Data were obtained from online panel participants between 18 and 65 years of age, who had indicated that they were either former or current e-cigarette users and resided within the United States (N = 1036). To be included in these analyses, …


Deriving Tree Growth Models From Stand Models Based On The Selfthinning Rule Of Chinese Fir Plantations, Xiongqing Zhang, Quang V. Cao, Yancheng Qu, Jianguo Zhang Jan 2022

Deriving Tree Growth Models From Stand Models Based On The Selfthinning Rule Of Chinese Fir Plantations, Xiongqing Zhang, Quang V. Cao, Yancheng Qu, Jianguo Zhang

Faculty Publications

Self-thinning due to density-dependent mortality usually occurs during the forest development. To improve predictions of such processes during forest successions under climate change, reliable stand-level models are needed. In this study, we developed an integrated system of tree-and stand-level models by deriving tree diameter and survival models from stand growth and survival models based on climate-sensitive self-thinning rule of Chinese fir plantations in subtropical China. The resulting integrated system, having a unified mathematical structure, should provide consistent estimates at both tree and stand levels. Predictions were reasonable at both stand and tree levels. Because stand-level values aggregated from the tree …


Physical Fitness Spurts In Pre-Adolescent Boys And Girls: Timing, Intensity And Sequencing, Sara Pereira, Carla Santos, Go Tani, Duarte Freitas, Fernando Garbeloto, Eduardo Guimarães, Leah E. Robinson, Adam Baxter-Jones, Peter T. Katzmarzyk, José Maia Jan 2022

Physical Fitness Spurts In Pre-Adolescent Boys And Girls: Timing, Intensity And Sequencing, Sara Pereira, Carla Santos, Go Tani, Duarte Freitas, Fernando Garbeloto, Eduardo Guimarães, Leah E. Robinson, Adam Baxter-Jones, Peter T. Katzmarzyk, José Maia

Population and Public Health Science Faculty Publications

We aim to (1) estimate age of attainment of the peak mid-growth spurt in stature (age-at-peak MGS) in pre-adolescent boys and girls; (2) identify the timing, intensity, and sequences of physical fitness (PF) spurts aligned by the age-at-peak MGS; and (3) identify any sex differences in PF spurts aligned by age-at-peak MGS. The sample included 180 Portuguese children (90 girls) aged 6 to 10 years at study entry who were followed annually for 4 years. Height, health-, and performance-related PF were assessed. Age-at-peak MGS and PF spurts were estimated using a non-smooth mathematical procedure. Boys’ and girls’ age-at-peak MGS occurred …


Development Of A Memories Vocabulary (Memvoc) For Food Products Using Coffee As Model, Adan Cabal-Prieto, Gabriela Teodoro-Bernabé, Cecilia Coria-Rincón, Lucia Sánchez-Arellano, Lorena Guadalupe Ramón-Canul, Jesús Rodríguez-Miranda, Witoon Prinyawiwatkul, José Manuel Juárez-Barrientos, José Andrés Herrera-Corredor, Emmanuel De Jesús Ramírez-Rivera Jan 2022

Development Of A Memories Vocabulary (Memvoc) For Food Products Using Coffee As Model, Adan Cabal-Prieto, Gabriela Teodoro-Bernabé, Cecilia Coria-Rincón, Lucia Sánchez-Arellano, Lorena Guadalupe Ramón-Canul, Jesús Rodríguez-Miranda, Witoon Prinyawiwatkul, José Manuel Juárez-Barrientos, José Andrés Herrera-Corredor, Emmanuel De Jesús Ramírez-Rivera

Faculty Publications

Multiple references in sensory science indicate that foods evoke memories during consumption, however, research regarding those memories is still limited. The objective of this study was to develop a vocabulary and implement it in a memories vocabulary related to food as a complement for the evaluation of sensory attributes and emotions, using coffee as a model. The memories vocabulary was generated with a series of successive studies that involved assigning positive and negative memories to different food groups and applying mathematical algorithms (WordCountAna and Factorial Approach) and contrasting memories with the scientific literature. Subsequently, the vocabulary was used to determine …


New Bounds For State Transition Matrices, Frederic Mazenc, Michael Malisoff Jan 2022

New Bounds For State Transition Matrices, Frederic Mazenc, Michael Malisoff

Faculty Publications

We address the problem of constructing matrix-valued interval observers for estimating state transition matrices for time-varying systems. We provide less conservative estimators than those in recent literature. We cover continuous-and discrete-time linear systems, under Metzler or nonnegativity conditions on the coefficient matrices. We show how to satisfy our Metzler conditions after simple changes of coordinates. We illustrate our method using a feedback stabilized underwater marine robotic dynamics with unknown control gains.


New Versions Of Halanay's Inequality With Multiple Gain Terms, Frederic Mazenc, Michael Malisoff Jan 2022

New Versions Of Halanay's Inequality With Multiple Gain Terms, Frederic Mazenc, Michael Malisoff

Faculty Publications

Halanay's inequality in its standard form is a widely used tool for the analysis of systems with delays and uncertainties, but the assumptions needed to use it are sometimes too restrictive to cover applications of interest. This letter provides new generalizations of Halanay's inequality where, instead of the usual supremum in the gain term in standard versions of Halanay's inequality, we use a weighted sum of suprema over different intervals. This allows us to derive sufficient conditions for asymptotic and input-to-state stability. We apply our results to linear systems with switched delays and other examples that illustrate how our results …