Stability and Stabilization of Time-Delay Systems

丛 书 名：Advances in Design and Control

作     者：Wim Michiels Silviu-Iulian Niculescu 

I S B N：(纸本) 9780898716320 

出 版 社：SIAM 

出 版 年：2007年

页      数：xxi, 378 p. :页

主 题 词：Automatic control. Time delay systems. Stability. Eigenvalues. 

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 0835[工学-软件工程] 0802[工学-机械工程] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 080201[工学-机械制造及其自动化] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

馆 藏 号：201721966...

摘      要：Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. This monograph addresses the problem of stability analysis and the stabilization of dynamical systems subjected to time-delays. It presents a wide and self-contained panorama of analytical methods and computational algorithms using a unified eigenvalue-based approach illustrated by examples and applications in electrical and mechanical engineering, biology, and complex network analysis. This text bridges the fields of control (analysis and feedback design, robustness, and uncertainty) and numerical analysis (explicit algorithms and methods). The authors present solutions of the (robust) stability analysis and stabilization problem of linear time-delay systems, which are the result of this cross-fertilization of control theory, numerical linear algebra, numerical bifurcation analysis, and optimization. The book is organized into three parts: Part I addresses the analysis of linear time-delay systems from a stability point of view. Part II is devoted to synthesis problems with the focus on stabilization. In Part III the authors present a wide class of applications, including congestion analysis in high-performance networks, output feedback stabilization using the delays as controller parameters, predictor-type controllers, consensus problems in traffic flows, and stability analysis of various delay models in the biosciences. Audience: Researchers and graduate students in electrical and mechanical engineering, computer science, biology, and applied mathematics will benefit from this book. Contents: Preface; Symbols; Acronyms; Part I: Stability analysis of linear time-delay systems. Chapter 1: Spectral properties of linear time-delay systems; Chapter 2: Pseudospectra and robust stability analysis; Chapter 3: Computation of stability regions in parameter spaces;