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Operations Research, Systems Engineering and Industrial Engineering Commons™
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- Keyword
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- Stability (9)
- Business logistics (5)
- Delay (4)
- Business logistics--Mathematical models (3)
- Multiple delays (3)
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- Cluster treatment of characteristic roots (CTCR) (2)
- Delay differential equation (2)
- Delays (2)
- Delivery of goods (2)
- Industrial procurement (2)
- Multiple time delays (2)
- Robust stability (2)
- Car following model (1)
- Cost optimization (1)
- Crossing curves (1)
- Decision-making (1)
- Delay-dependent stability (1)
- Delivery of goods--Mathematical models (1)
- Delivery of goods--Mathematical models. (1)
- Distributed delays (1)
- First order approximation (1)
- Geometry (1)
- High dimensional supply network (1)
- Human drivers (1)
- Imaginary spectra detection (1)
- Inventory behavior (1)
- Inventory regulation (1)
- Linear systems (1)
- Linear time invariant (1)
- Linear time-delayed dynamics (1)
Articles 1 - 16 of 16
Full-Text Articles in Operations Research, Systems Engineering and Industrial Engineering
First Order Approximation Of The Stability Regions Of Time Delay Systems, Rifat Sipahi, Silviu-Julian Niculescu
First Order Approximation Of The Stability Regions Of Time Delay Systems, Rifat Sipahi, Silviu-Julian Niculescu
Rifat Sipahi
No abstract provided.
Exact Stability Analysis Of Neutral Systems With Cross-Talking Delays, Nejat Olgac, Tomáš Vyhlídal, Rifat Sipahi
Exact Stability Analysis Of Neutral Systems With Cross-Talking Delays, Nejat Olgac, Tomáš Vyhlídal, Rifat Sipahi
Rifat Sipahi
The stability of neutral systems with two cross-talking delays is investigated using the method of cluster treatment of characteristic roots (CTCR). here are two main outcomes of this study: (a) Generation of the well-known delay stabilizability condition as a by-product of the CTCR procedure. This is achieved by a small delay stability treatment over the system. We also demonstrate for the delay-stabilizable systems the exact bounds of the stability regions in the domain of the delays. (b) Validation of these stability regions using an alternative point-wise algorithm, which computes the right-most roots of the characteristic quasi-polynomial.
Analytical Stability Study Of A Deterministic Car Following Model Under Multiple Delay Interactions, Rifat Sipahi, Silviu-Iulian Niculescu
Analytical Stability Study Of A Deterministic Car Following Model Under Multiple Delay Interactions, Rifat Sipahi, Silviu-Iulian Niculescu
Rifat Sipahi
Analytical stability study of some deterministic car following models under time-delay influences is presented and various case studies are demonstrated. Interestingly, for some control law deployed by human drivers, more than one stability interval in the domain of time delay is revealed. Physical interpretations along with comparisons conclude the study.
A Comparative Survey In Determining The Imaginary Characteristic Roots Of Lti Time Delayed Systems, Rifat Sipahi, Nejat Olgac
A Comparative Survey In Determining The Imaginary Characteristic Roots Of Lti Time Delayed Systems, Rifat Sipahi, Nejat Olgac
Rifat Sipahi
The aim of this study is to offer a comparison of the numerical procedures for an important problem, the determination of purely imaginary characteristic roots of LTITime Delayed Systems (LTI-TDS). This problem, in fact, has a crucial role in assessing the stability of the general class of vector LTI-TDS x = Ax + Bx(t -τ). There are many procedures discussed in the literature for this purpose. Those, which are exact, first determine the complete set of imaginary characteristic roots of the dynamics, as they constitute the only points where stability switching can take place. These approaches are, in fact, some …
Complete Stability Map Of First Order - Two Time Delay Systems With Delay Cross-Talk, Rifat Sipahi, Nejat Olgac
Complete Stability Map Of First Order - Two Time Delay Systems With Delay Cross-Talk, Rifat Sipahi, Nejat Olgac
Rifat Sipahi
First order linear time invariant dynamics is taken into account with two delays. A unique feature is included in this study, from the stability perspective: a term that represents the cross-talk between the two delays. This class of systems can be treated by a unique procedure, which is recently developed, known as Cluster Treatment of Characteristic Roots (CTCR). In the text we present several case studies to display the steps and the strengths of CTCR. We also include some comparison results with respect to a cornerstone study (Hale, and Huang, 1993), which gives a wonderful point of reference for this …
Stability Robustness Of Retarded Lti Systems With Single Delay And Exhaustive Determination Of Their Imaginary Spectra, Rifat Sipahi, Nejat Olgac
Stability Robustness Of Retarded Lti Systems With Single Delay And Exhaustive Determination Of Their Imaginary Spectra, Rifat Sipahi, Nejat Olgac
Rifat Sipahi
In this paper we consider the stability robustness of the general class of vector LTI (linear time invariant) equations with a single delay, $\dot{\bf x}(t) = {\bf A}{\bf x}(t) + {\bf B}{\bf x}(t-\tau)$, ${\bf x} \in {\bf R}^n$. The robustness is against the uncertain, but constant delay, $\tau \in {\bf R}^+$. We first present a set of novel propositions and state that the solution must start from the complete knowledge of imaginary spectra of the system, and the corresponding delays. The propositions claim that such spectra form a set of manageably small number of members, and this number is upper …
Complete Stability Analysis Of Neutral‐Type First Order Two‐Time‐Delay Systems With Cross‐Talking Delays, Rifat Sipahi, Nejat Olgac
Complete Stability Analysis Of Neutral‐Type First Order Two‐Time‐Delay Systems With Cross‐Talking Delays, Rifat Sipahi, Nejat Olgac
Rifat Sipahi
The stability robustness of first order linear time invariant dynamics of neutral type with multiple time delays against delay uncertainties is taken into consideration. We depart from a simpler investigation of Hale and Huang [J. Math. Anal. Appl., 178 (1993), pp. 344–362], which studies the same problem for retarded‐type systems. On this basis we further introduce two challenging features by including (a) terms that add neutral dynamics and (b) an additional term that introduces cross‐talk between the multiple delays. To the best of the authors’ knowledge, the stability posture of this class of systems can be treated only by a …
Minimization Of Costs In Interconnected Supply Networks With Transportation And Decision-Making Delays, Ilker I. Delice, Rifat Sipahi, Tucker J. Marion
Minimization Of Costs In Interconnected Supply Networks With Transportation And Decision-Making Delays, Ilker I. Delice, Rifat Sipahi, Tucker J. Marion
Rifat Sipahi
No abstract provided.
Stability Analysis Of A High Dimensional Supply Network With 5 Delays, Rifat Sipahi
Stability Analysis Of A High Dimensional Supply Network With 5 Delays, Rifat Sipahi
Rifat Sipahi
No abstract provided.
Stability Analysis Of A Lti-Tds Dynamics With Four (4) Independent Delays, Rifat Sipahi
Stability Analysis Of A Lti-Tds Dynamics With Four (4) Independent Delays, Rifat Sipahi
Rifat Sipahi
No abstract provided.
Stability Of Traffic Flow Behavior With Distributed Delays Modeling The Memory Effects Of The Drivers, Rifat Sipahi, Fatihcan M. Atay, Silviu-Julian Niculescu
Stability Of Traffic Flow Behavior With Distributed Delays Modeling The Memory Effects Of The Drivers, Rifat Sipahi, Fatihcan M. Atay, Silviu-Julian Niculescu
Rifat Sipahi
Stability analysis of a single-lane microscopic car-following model is studied analytically from the perspective of delayed reactions of human drivers. In the literature, the delayed reactions of the drivers are modeled with discrete delays, which assume that drivers make their control decisions based on the stimuli they receive from a point of time in the history. We improve this model by introducing a distribution of delays, which assumes that the control actions are based on information distributed over an interval of time in history. Such an assumption is more realistic, as it takes into consideration the memory capabilities of the …
An Alternative Characterization Of Robust Stability And Stability Radius For Linear Time Delay Systems, Bahram Shafai, Hanai Sadaka, Rifat Sipahi, Jie Chen
An Alternative Characterization Of Robust Stability And Stability Radius For Linear Time Delay Systems, Bahram Shafai, Hanai Sadaka, Rifat Sipahi, Jie Chen
Rifat Sipahi
No abstract provided.
Stability Of A Linear Time Invariant Dynamics With 3 Independent Delays, Rifat Sipahi
Stability Of A Linear Time Invariant Dynamics With 3 Independent Delays, Rifat Sipahi
Rifat Sipahi
No abstract provided.
First Order Approximation Of The Stability Regions Of Time Delay Systems -- Removed From View At The Discretion Of Northeastern University Libraries (9/16/2010), Rifat Sipahi, Silviu-Julian Niculescu
First Order Approximation Of The Stability Regions Of Time Delay Systems -- Removed From View At The Discretion Of Northeastern University Libraries (9/16/2010), Rifat Sipahi, Silviu-Julian Niculescu
Rifat Sipahi
No abstract provided.
Delay Modeling In Supply Network Dynamics: Performance, Synchronization, Stability, Rifat Sipahi
Delay Modeling In Supply Network Dynamics: Performance, Synchronization, Stability, Rifat Sipahi
Rifat Sipahi
Recent research results in Industrial Engineering and Business disciplines specifically emphasize the critical role of delays in the functionality of supply networks. Delays are inevitable and pervasive; they arise due to the time needed for material deliveries, information flow and human perception towards adjusting to new decisions. Delays are endangering as they contaminate decision-making which ultimately leads to poor performance, synchronization problems and fluctuating inventory levels resulting in major economical losses. It is critical to state that inventory regulation and synchronization in supply networks even without delays is an open problem today due to large scale of the network, nonlinearities, …
An Efficient Numerical Approach For The Stability Analysis Of A Class Of Lti Systems With Arbitrary Number Of Delays, Rifat Sipahi
An Efficient Numerical Approach For The Stability Analysis Of A Class Of Lti Systems With Arbitrary Number Of Delays, Rifat Sipahi
Rifat Sipahi
Abstract: A practical and numerically efficient algorithm is presented for determining the stability robustness map of a general class of higher order linear time invariant (LTI) systems in the parametric space of arbitrary number of independent delays. The stability of this class of dynamics is of particular interest in low-gain design and multi-agent control problems. The backbone of the new algorithm is inspired by a scaled frequency sweeping technique which enables the exhaustive determination of stability switching hypersurfaces in the parametric space of delays, without requiring nested loops. Two case studies are presented in order to demonstrate the strength of …