Książka Constructions of Strict Lyapunov Functions Michael Malisoff

Constructions of Strict Lyapunov Functions

Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-13 dni
763.73
Converse Lyapunov function theory guarantees the existence of strict Lyapunov functions in many situ...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2009
strony
386
EAN
9781848825345
ISBN
184882534X
Enbook ID
03616109
Waga
770
Wymiary
155 x 235 x 23

Pełny opis

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.

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