portada Constructions of Strict Lyapunov Functions (en Inglés)

Constructions of Strict Lyapunov Functions (en Inglés)

Formato

Libro Físico

Autor

Michael Malisoff

Frédéric Mazenc

Editorial

Springer

Idioma

Inglés

N° páginas

386

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x2.1 cm

Peso

0.56 kg.

ISBN13

9781447157823

Categorías

Matemáticas aplicadas
Ingeniería mecánica
Robótica

Constructions of Strict Lyapunov Functions (en Inglés)

Michael Malisoff (Autor) · Frédéric Mazenc (Autor) · Springer · Tapa Blanda

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Reseña del libro "Constructions of Strict Lyapunov Functions (en Inglés)"

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.