Constructions of Strict Lyapunov Functions (Paperback, 2009 ed.)

Converse Lyapunov function theory guarantees the existence of strict Lyapunov functions in many situations, but the functions it provides are often abstract and nonexplicit, and therefore may not lend themselves to engineering applications. Often, even when a system is known to be stable, one still needs explicit Lyapunov functions; however, once an appropriate strict Lyapunov function has been constructed, many robustness and stabilization problems can be solved through standard feedback designs or robustness arguments. Non-strict Lyapunov functions are often readily constructed. This book contains a broad repertoire of Lyapunov constructions for nonlinear systems, focusing on methods for transforming non-strict Lyapunov functions into strict ones. Their explicitness and simplicity make them suitable for feedback design, and for quantifying the effects of uncertainty. Readers will benefit from the authors' mathematical rigor and unifying, design-oriented approach, as well as the numerous worked examples.

General

Imprint:	Springer London
Country of origin:	United Kingdom
Series:	Communications and Control Engineering
Release date:	October 2014
First published:	2009
Authors:	Michael Malisoff • Frederic Mazenc
Dimensions:	235 x 155 x 21mm (L x W x T)
Format:	Paperback
Pages:	386
Edition:	2009 ed.
ISBN-13:	978-1-4471-5782-3
Categories:	Books > Professional & Technical > Technology: general issues > Engineering graphics & technical drawing Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Automatic control engineering > General Promotions
LSN:	1-4471-5782-6
Barcode:	9781447157823

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