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Constructions of Strict Lyapunov Functions

Constructions of Strict Lyapunov Functions

by Michael Malisoff and Frederic Mazenc
Paperback
Publication Date: 30/10/2014
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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.
ISBN:
9781447157823
9781447157823
Category:
Automatic control engineering
Format:
Paperback
Publication Date:
30-10-2014
Publisher:
Springer London Ltd
Country of origin:
United Kingdom
Pages:
386
Dimensions (mm):
235x155x21mm
Weight:
0.62kg

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