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

Rifat Sipahi

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ISBN 10: 3639062620 / ISBN 13: 9783639062625
Published by VDM Verlag
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76 pages. Dimensions: 8.7in. x 5.9in. x 0.2in.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 controllers 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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Bookseller Inventory # 9783639062625

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Bibliographic Details

Title: Stability Analysis of Lti Multiple Time ...

Publisher: VDM Verlag

Binding: Paperback

Book Condition:New

Book Type: Paperback

About this title

Synopsis:

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.

About the Author:

R. Sipahi. B.S. Istanbul Tech. Univ. (ITU); M.S., Ph.D. University of Connecticut, Mechanical Engineering 2000, 2002, 2005. Post-doctor: Universite de Technologie de Compiegne (2005-2006) with Chateaubriand scholarship. Assistant professor (09/2006 - ): Department of Mechanical and Industrial Engineering, Northeastern University, Boston.

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