Xiaoxin Liao, Pei Yu

Absolute Stability of Nonlinear Control Systems (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

Produktdetails

• Verlag: Springer Netherland
• Erscheinungstermin: 16. Juli 2008
• Englisch
• ISBN-13: 9781402084829
• Artikelnr.: 37364857

Inhaltsangabe

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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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.

Rezensionen

From the reviews of the second edition: "This monograph is devoted to stability problems of linear systems with nonlinear feedbacks ... . The monograph is written in a very clear style. It contains many new ideas and it will certainly be useful as a reference work for engineers." (Stanislaw Sedziwy, Mathematical Reviews, Issue 2009 m)