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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 Mar 2015

First Order Approximation Of The Stability Regions Of Time Delay Systems, Rifat Sipahi, Silviu-Julian Niculescu

Rifat Sipahi

No abstract provided.


Analytical Stability Study Of A Deterministic Car Following Model Under Multiple Delay Interactions, Rifat Sipahi, Silviu-Iulian Niculescu Apr 2012

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 Apr 2012

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 Analysis Of Neutral‐Type First Order Two‐Time‐Delay Systems With Cross‐Talking Delays, Rifat Sipahi, Nejat Olgac Apr 2012

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 …


Stability Analysis Of A High Dimensional Supply Network With 5 Delays, Rifat Sipahi Sep 2010

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 Sep 2010

Stability Analysis Of A Lti-Tds Dynamics With Four (4) Independent Delays, Rifat Sipahi

Rifat Sipahi

No abstract provided.


Transportation Delays In Supply Networks: Stability Analysis & System Design, Rifat Sipahi, Stefan Lanmer, Silvia-Julian Niculescu, Dirk Helbing Sep 2010

Transportation Delays In Supply Networks: Stability Analysis & System Design, Rifat Sipahi, Stefan Lanmer, Silvia-Julian Niculescu, Dirk Helbing

Rifat Sipahi

No abstract provided.


Stability Of A Linear Time Invariant Dynamics With 3 Independent Delays, Rifat Sipahi Sep 2010

Stability Of A Linear Time Invariant Dynamics With 3 Independent Delays, Rifat Sipahi

Rifat Sipahi

No abstract provided.


Delay Modeling In Supply Network Dynamics: Performance, Synchronization, Stability, Rifat Sipahi Sep 2010

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 Sep 2010

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 …