Absolute Stability of Nonlinear Control Systems

Xiaoxin Liao, Pei Yu (Autoren)

Buch | Softcover

384 Seiten

2010 | Softcover reprint of hardcover 2nd ed. 2008
Springer (Verlag)
978-90-481-7892-6 (ISBN)

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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.

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.

Erscheint lt. Verlag	23.11.2010
Reihe/Serie	Mathematical Modelling: Theory and Applications ; 25
Zusatzinfo	XII, 384 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Technik ► Elektrotechnik / Energietechnik
	Technik ► Maschinenbau
ISBN-10	90-481-7892-4 / 9048178924
ISBN-13	978-90-481-7892-6 / 9789048178926
Zustand	Neuware