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Stability Analysis of LTI Multiple Time Delay Systems - Cluster Treatment of Characteristic Roots - Softcover
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Time delays are present in control systems (sensing, actuation and decision-making) or they are inherent parts of dynamical systems (chatter in metal machining, heredity in biology). Delays are known to cause detrimental effects to system behavior, but they also favor system performance, assist controller’s success and even recover stability. This counter-intuitive and intriguing phenomenon is a strong motivation for engineering, mathematics, biology and physics disciplines. This book addresses one of the timeliest and the most crucial problems studied since 1960s: the asymptotic stability of time delay systems. The main focus is on a novel paradigm, Cluster Treatment of Characteristic Roots methodology, which can treat the stability of linear time invariant (LTI) control systems with multiple delays. The author hopes that the methodology will not only help various disciplines to investigate similar problems, but it will also inspire new research directions in algebraic geometry, numerical techniques, stability of multinomials, mapping between finite and infinite dimensional systems, robustness and control design.
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Time delays are present in control systems (sensing, actuation and decision-making) or they are inherent parts of dynamical systems (chatter in metal machining, heredity in biology). Delays are known to cause detrimental effects to system behavior, but they also favor system performance, assist controller's success and even recover stability. This counter-intuitive and intriguing phenomenon is a strong motivation for engineering, mathematics, biology and physics disciplines. This book addresses one of the timeliest and the most crucial problems studied since 1960s: the asymptotic stability of time delay systems. The main focus is on a novel paradigm, Cluster Treatment of Characteristic Roots methodology, which can treat the stability of linear time invariant (LTI) control systems with multiple delays. The author hopes that the methodology will not only help various disciplines to investigate similar problems, but it will also inspire new research directions in algebraic geometry, numerical techniques, stability of multinomials, mapping between finite and infinite dimensional systems, robustness and control design.
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Stability Analysis of LTI Multiple Time Delay Systems - Cluster Treatment of Characteristic Roots
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VDM Verlag Dr. Mueller e.K. 2008-08-28, 2008
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Stability Analysis of LTI Multiple Time Delay Systems
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VDM Verlag Dr. Müller|VDM Verlag Dr. Müller e.K., 2008
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ISBN 13: 9783639062625
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Kartoniert / Broschiert. Zustand: New. 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. Bestandsnummer des Verkäufers 4953906
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Stability Analysis of LTI Multiple Time Delay Systems : Cluster Treatment of Characteristic Roots
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VDM Verlag Dr. Müller, VDM Verlag Dr. Müller E.K., 2008
ISBN 10: 3639062620
ISBN 13: 9783639062625
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Taschenbuch. Zustand: Neu. Neuware - 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. Bestandsnummer des Verkäufers 9783639062625
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