Absolute stability of nonlinear control systems

X. Liao and P. Yu

Following the recent developments in the field of absolute stability, Prof. Xiaoxin Liao, in conjunction with Prof. Pei Yu, has created a second edition of his seminal work on the subject. Liao begins with an introduction to the Lurie problem and Lurie control system, before moving on to the simple algebraic sufficient conditions for the absolute stability of autonomous and non-autonomous ODE systems, as well as several special classes of Lurie-type systems. The focus of the book then shifts toward the new results and research that have appeared in the decade since the first edition was published. This book is aimed to be used by undergraduates in the areas of applied mathematics, nonlinear control systems, and chaos control and synchronisation, but may also be useful as a reference for researchers and engineers. The book is self-contained, though a basic knowledge of calculus, linear system and matrix theory, and ordinary differential equations is a prerequisite.

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[目次]

  • Principal Theorems on Global Stability.- Sufficient Conditions of Absolute Stability: Classical Methods.- Necessary and Sufficient Conditions for Absolute Stability.- Special Lurie-Type Control Systems.- Nonautonomous Systems.- Systems with Multiple Nonlinear Feedback Controls.- Robust Absolute Stability of Interval Control Systems.- Discrete Control Systems.- Time-Delayed and Neutral Lurie Control Systems.- Control Systems Described by Functional Differential Equations.- Absolute Stability of Hopfield Neural Network.- Application to Chaos Control and Chaos Synchronization.

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この本の情報

書名 Absolute stability of nonlinear control systems
著作者等 Liao, Xiao-xin
Liao Xiaoxin
Yu Pei
シリーズ名 Mathematical modelling : theory and applications
出版元 Springer
刊行年月 c2008
版表示 2nd ed
ページ数 xii, 384 p.
大きさ 24 cm
ISBN 9781402084812
NCID BA87370953
※クリックでCiNii Booksを表示
言語 英語
出版国 不明
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