£128.26

Springer - Constructions of Strict Lyapunov Functions

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Description

Bridging the gap between abstract theory and practical engineering, this book from the Communications and Control Engineering series addresses a fundamental challenge in control theory. While converse Lyapunov function theory proves that strict Lyapunov functions exist, the resulting functions are often non-explicit and difficult to apply in real-world scenarios. This text focuses on the necessity of constructing explicit Lyapunov functions. Even when a system is known to be stable, engineers require specific functions to solve robustness and stabilization problems. By providing methods to move from non-strict to strict Lyapunov functions, this book enables the use of standard feedback designs and robustness arguments. It is an essential resource for those working with control engineering applications where abstract existence is not enough and practical, usable mathematical tools are required.

Key Features

Addresses the gap between abstract converse Lyapunov theory and practical engineering applications.

Focuses on the construction of explicit Lyapunov functions rather than just proving their existence.

Provides tools to transform non-strict Lyapunov functions into strict versions for better utility.

Enables the solution of robustness and stabilization problems through standard feedback designs.

Part of the professional Communications and Control Engineering series by Springer.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 June 2009
Listed Since
23 February 2009

Barcode

No barcode data available

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