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Stability Analysis of LTI Multiple Time Delay Systems - Cluster Treatment of Characteristic Roots

Name: Stability Analysis of LTI Multiple Time Delay Systems - Cluster Treatment of Characteristic Roots
Brand: VDM Verlag Dr. Mueller E.K.
SKU: 06815644
Price: 48.81 EUR
Availability: InStock
Author: Rifat Sipahi
ISBN: 9783639062625

Rifat Sipahi

Jazyk

Angličtina

Kniha Brožovaná

Libristo kód: 06815644

Nakladateľstvo VDM Verlag Dr. Mueller E.K., august 2008

Time delays are present in control systems (sensing,actuation and decision-making) or they are inher... Celý popis

Libristo kód: 06815644

118 b

48.81 €

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Time delays are present in control systems (sensing,actuation and decision-making) or they are inherentparts of dynamical systems (chatter in metalmachining, heredity in biology). Delays are known tocause detrimental effects to system behavior, butthey also favor system performance, assistcontroller's success and even recover stability.This counter-intuitive and intriguing phenomenon isa strong motivation for engineering, mathematics,biology and physics disciplines. This book addressesone of the timeliest and the most crucial problemsstudied since 1960s: the asymptotic stability oftime delay systems. The main focus is on a novelparadigm, Cluster Treatment of Characteristic Rootsmethodology, which can treat the stability of lineartime invariant (LTI) control systems with multipledelays. The author hopes that the methodology willnot only help various disciplines to investigatesimilar problems, but it will also inspire newresearch directions in algebraic geometry, numericaltechniques, stability of multinomials, mappingbetween finite and infinite dimensional systems,robustness and control design.