Following the recent developments in the field of absolute stability, Prof. Xiaoxin Liao, in conjunction with Prof. Pei Yu, has created a second edition ofhis seminal work on the subject. Liao begins with an introduction to the Lurie problem and Lurie control system, before moving on to the simple algebraic sufficient conditions for the absolute stability of autonomous and non-autonomous ODE systems, as well as several special classes of Lurie-type systems. The focus of the book then shifts toward the new results and research that have appeared in the decade since the first edition was published. This book is aimedto be used by undergraduates in the areas of applied mathematics, nonlinear control systems, and chaos control and synchronisation, but may also be useful as a reference for researchers and engineers. The book is self-contained, though a basic knowledge of calculus, linear system and matrix theory, and ordinary differential equations is a prerequisite. This book will answer the question; ‘what is sufficient and necessary condition for the absolute stability of the Lurie problem?’ a question that has not been solved in 60 years The new ideas and methodology within this book can be generalized to solve stability problems of other types of nonlinear systems INDICE: 1. Introduction.- 2.Principal Theorems on Global Stability.- 3. Sufficient Conditions of Absolute Stability - Classical Methods.- 4. Necessary, and Sufficient Conditions for Absolute Stability.- 5. Special Lurie-Type Control Systems.- 6. Non-Autonomous Systems.- 7. Systems with Multiple Nonlinear Feedback Controls.- 8. Robust Absolute Stability of Interval Control Systems.- 9. Discrete Control Systems.- 10. Time-Delayed and Neutral Lurie Control Systems.- 11. Control Systems Described by Functional Differential Equations.- 12. Absolute Stability of Hopfield Neural Network.- 13. Application to Chaos Control and Chaos Synchronization.- References.- Index.
- ISBN: 978-1-4020-8481-2
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 400
- Fecha Publicación: 01/06/2008
- Nº Volúmenes: 1
- Idioma: Inglés