Parameter Identification For Ordinary And Delay Differential Equations By Using Flat Inputs, 2014 SelectedWorks

#### Parameter Identification For Ordinary And Delay Differential Equations By Using Flat Inputs, René Schenkendorf, Michael Mangold

*René Schenkendorf*

The concept of differential flatness has been widely used for nonlinear controller design. In this contribution, it is shown that flatness may also be a very useful property for parameter identification. An identification method based on flat inputs is introduced. The treatment of noisy measurements and the extension of the method to delay differential equations are discussed. The method is illustrated by two case studies: the well-known FitzHugh-Nagumo equations and a virus replication model with delays.

An Applied Functional And Numerical Analysis Of A 3-D Fluid-Structure Interactive Pde, 2014 University of Nebraska - Lincoln

#### An Applied Functional And Numerical Analysis Of A 3-D Fluid-Structure Interactive Pde, Thomas J. Clark

*Dissertations, Theses, and Student Research Papers in Mathematics*

We will present qualitative and numerical results on a partial differential equation (PDE) system which models a certain fluid-structure dynamics. In Chapter \ref{ChWellposedness}, the wellposedness of this PDE model is established by means of constructing for it a nonstandard semigroup generator representation; this representation is essentially accomplished by an appropriate elimination of the pressure. This coupled PDE model involves the Stokes system which evolves on a three dimensional domain $\mathcal{O}$ being coupled to a fourth order plate equation, possibly with rotational inertia parameter $\rho >0$, which evolves on a flat portion $\Omega$ of the boundary of $\mathcal{O ...

Citations Of Publications, 2014 SelectedWorks

#### Citations Of Publications, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Modelling And Optimal Control Of A Time-Delayed Switched System In Fed-Batch Process, 2014 SelectedWorks

#### Modelling And Optimal Control Of A Time-Delayed Switched System In Fed-Batch Process, Chongyang Liu, Zhaohua Gong

*Chongyang Liu*

The main control goal of the fed-batch process is to maximize the yield of target product as well as to minimize the operation costs simultaneously. Considering the existence of time delay and the switching nature in the fed-batch process, a time-delayed switched system is proposed to formulate the 1,3-propanediol (1,3-PD) production process. Some important properties of the system are also discussed. Taking the switching instants and the terminal time as the control variables, a free terminal time delayed optimal control problem is then presented. Using a time-scaling transformation and parameterizing the switching instants into new parameters, an equivalently ...

Tematyka Prac Doktorskich, 2014 SelectedWorks

#### Tematyka Prac Doktorskich, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Tematyka Prac Dyplomowych Dla Studentów Wydziału Mechaniczno-Energetycznego Pwr., 2014 SelectedWorks

#### Tematyka Prac Dyplomowych Dla Studentów Wydziału Mechaniczno-Energetycznego Pwr., Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Mechanika Płynów Lab., 2014 SelectedWorks

#### Mechanika Płynów Lab., Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Tematyka Prac Dyplomowych Dla Studentów Wydziału Chemicznego Pwr., 2014 SelectedWorks

#### Tematyka Prac Dyplomowych Dla Studentów Wydziału Chemicznego Pwr., Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

C.V., 2014 SelectedWorks

H-Index Rankings Of Scientists In Poland, 2014 SelectedWorks

#### H-Index Rankings Of Scientists In Poland, Wojciech M. Budzianowski

*Wojciech Budzianowski*

This contribution provides subject area-specific h-index rankings of scientists in Poland. The rankings use Scopus scientific publications database as a publication and citation resource. 23 subject areas from Scopus are covered. The methodology of the rankings is explained.

Optimal Control For A Nonlinear Time-Delay System In Fed-Batch Fermentation, 2013 SelectedWorks

#### Optimal Control For A Nonlinear Time-Delay System In Fed-Batch Fermentation, Chongyang Liu, Zhaohua Gong, Enmin Feng

*Chongyang Liu*

The main control goal in fed-batch fermentation is to maximize yield of target product and reduce operation costs. In this paper, we propose a controlled nonlinear time-delay system, in which the flow rate of glycerol is taken as the control function and the terminal time of the fermentation as the optimization variable, to model the 1,3-propanediol (1,3-PD) production in fed-batch process. Taking the mass of 1,3-PD per unit time as the performance index, we formulate a constrained optimal control model with free terminal time to optimize the production process. Using a time-scale transformation, the optimal control problem ...

Self-Reconfigurable Control For Dual-Quaternion/Dual-Vector Systems, 2013 Embry-Riddle Aeronautical University

#### Self-Reconfigurable Control For Dual-Quaternion/Dual-Vector Systems, W. D. Price, Chau Ton, W. Mackunis, Sergey V. Drakunov

*Sergey V Drakunov*

No abstract provided.

Predator Prey Models In Competitive Corporations, 2013 Olivet Nazarene University

#### Predator Prey Models In Competitive Corporations, Rachel Von Arb

*Honors Program Projects*

Predator prey models have been used for years to model animal populations. In recent years they have begun to be applied to economic situations. However, the stock market has remained largely untouched. We examine whether the success of competitive corporations such as Target and Walmart, as measured by the indicators of price per share, market share, and volume, can be modeled by various predator prey models. We consider the basic Lotka-Volterra model and the two-predator, one-prey model, as well as a ratio-dependent model. We discuss the use of numerical techniques and regression analysis as tools to estimate model parameters. For ...

Awards, Honours And Memberships Of Wojciech M. Budzianowski, 2013 SelectedWorks

#### Awards, Honours And Memberships Of Wojciech M. Budzianowski, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

List Of Publications Authored By Wojciech M. Budzianowski, 2013 SelectedWorks

#### List Of Publications Authored By Wojciech M. Budzianowski, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Determination Of Kinetic Parameters From The Thermogravimetric Data Set Of Biomass Samples, 2013 SelectedWorks

#### Determination Of Kinetic Parameters From The Thermogravimetric Data Set Of Biomass Samples, Karol Postawa, Wojciech M. Budzianowski

*Wojciech Budzianowski*

This article describes methods of the determination of kinetic parameters from the thermogravimetric data set of biomass samples. It presents the methodology of the research, description of the needed equipment, and the method of analysis of thermogravimetric data. It describes both methodology of obtaining quantitative data such as kinetic parameters as well as of obtaining qualitative data like the composition of biomass. The study is focused mainly on plant biomass because it is easy in harvesting and preparation. Methodology is shown on the sample containing corn stover which is subsequently pyrolysed. The investigated sample show the kinetic of first order ...

Challenges And Prospects Of Processes Utilising Carbonic Anhydrase For Co2 Separation, 2013 SelectedWorks

#### Challenges And Prospects Of Processes Utilising Carbonic Anhydrase For Co2 Separation, Patrycja Szeligiewicz, Wojciech M. Budzianowski

*Wojciech Budzianowski*

This article provides an analysis of processes for separation CO2 by using carbonic anhydrase enzyme with particular emphasis on reactive-membrane solutions. Three available processes are characterised. Main challenges and prospects are given. It is found that in view of numerous challenges practical applications of these processes will be difficult in near future. Further research is therefore needed for improving existing processes through finding methods for eliminating their main drawbacks such as short lifetime of carbonic anhydrase or low resistance of reactive membrane systems to impurities contained in flue gases from power plants.

Modelling And Parameter Identification For A Nonlinear Time-Delay System In Microbial Batch Fermentation, 2013 SelectedWorks

#### Modelling And Parameter Identification For A Nonlinear Time-Delay System In Microbial Batch Fermentation, Chongyang Liu

*Chongyang Liu*

Mathematical modelling and parameter identification of a microbial batch fermentation process is considered in this paper. In view of the existence of time delays, a nonlinear time-delay system is firstly proposed to formulate the fermentation process. Some important properties are also discussed. Taking the errors between the computational values and the experimental data as the cost function, a parameter identification model subject to continuous state constraints and parameter constraints is then presented. To seek the optimal time delay and the optimal kinetic parameters, an improved differential evolution algorithm in conjunction with the constraint transcription technique is developed. Finally, numerical results ...

Cooperation With The Economy, 2013 SelectedWorks

#### Cooperation With The Economy, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Oferta Usługowo-Badawcza Dla Gospodarki, 2013 SelectedWorks

#### Oferta Usługowo-Badawcza Dla Gospodarki, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.