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Constructions of Strict Lyapunov Functions: Communications and Control - Your Ultimate Guide to Stability Analysis and Control Design

Clarence Brooks

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In the realm of systems and control, stability is paramount. Lyapunov functions have emerged as a powerful tool for assessing and ensuring stability in complex systems. "Constructions of Strict Lyapunov Functions: Communications and Control" offers a comprehensive exploration of this invaluable technique, providing a wealth of practical insights and innovative approaches to address stability challenges.

Delving into the World of Lyapunov Functions

Authored by Professor Quan Quan and Dr. Thomas Berger, this authoritative volume provides a systematic and in-depth examination of strict Lyapunov functions. These functions play a crucial role in establishing both local and global stability, facilitating the design of reliable and efficient control systems.

Constructions of Strict Lyapunov Functions (Communications and Control Engineering)

4.3 out of 5

Language	:	English
File size	:	7306 KB
Screen Reader	:	Supported
Print length	:	402 pages

The book commences with a thorough foundation in classical Lyapunov theory, meticulously laying the groundwork for understanding the concepts and applications of Lyapunov functions. It then delves into the nuances of strict Lyapunov functions, exploring their unique properties and advantages in stability analysis.

Unveiling a Treasure Trove of Construction Methods

One of the key strengths of this book lies in its extensive coverage of Lyapunov function construction methods. The authors meticulously present a wide array of innovative techniques, empowering readers to tackle a diverse range of stability problems.

From piecewise multiplier methods to integral inequalities and matrix inequalities, the book offers a comprehensive toolkit for designing Lyapunov functions tailored to specific system dynamics. These methods are presented with exceptional clarity, ensuring that both experts and students can readily grasp and apply them.

Empowering Control System Design

The insights gained from "Constructions of Strict Lyapunov Functions" extend far beyond theoretical stability analysis. The authors skillfully demonstrate how to leverage these functions in the design of robust and effective control systems.

Through a series of illustrative examples, the book showcases the practical applications of Lyapunov functions in a variety of control scenarios. Readers will discover how to synthesize controllers that guarantee stability, enhance performance, and mitigate the effects of uncertainties and disturbances.

Applications Across Engineering Disciplines

The versatility of Lyapunov functions extends beyond the realm of control systems. The book explores the applicability of these techniques in diverse engineering disciplines, including:

Communication networks
Power systems
Robotics

Key Features of the Book

Comprehensive coverage of Lyapunov theory and strict Lyapunov functions
Systematic presentation of Lyapunov function construction methods
Practical applications for control system design
Examples and case studies to illustrate key concepts
Accessible to both researchers and students

Whether you're an experienced control engineer or a student eager to delve into the intricacies of stability analysis, "Constructions of Strict Lyapunov Functions: Communications and Control" is an invaluable resource.

This book empowers readers with a profound understanding of Lyapunov functions and provides a comprehensive toolkit for constructing and applying these functions to a wide range of stability and control challenges. Its innovative approaches and practical examples make it an essential guide for anyone seeking to excel in the field of control systems.

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Constructions of Strict Lyapunov Functions (Communications and Control Engineering)

4.3 out of 5