Princeton Series in Applied Mathematics
A Vector Dissipative Systems Approach
- 384 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Princeton Series in Applied Mathematics
A Vector Dissipative Systems Approach
About This Book
Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical, technological, environmental, and social phenomena, including aerospace, power, communications, and network systems, to name just a few. This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents the most complete treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures.
Large-scale dynamical systems are strongly interconnected and consist of interacting subsystems exchanging matter, energy, or information with the environment. The sheer size, or dimensionality, of these systems necessitates decentralized analysis and control system synthesis methods for their analysis and design. Written in a theorem-proof format with examples to illustrate new concepts, this book addresses continuous-time, discrete-time, and hybrid large-scale systems. It develops finite-time stability and finite-time decentralized stabilization, thermodynamic modeling, maximum entropy control, and energy-based decentralized control.
This book will interest applied mathematicians, dynamical systems theorists, control theorists, and engineers, and anyone seeking a fundamental and comprehensive understanding of large-scale interconnected dynamical systems and control.
Frequently asked questions
Information
Table of contents
- Cover Page
- Halftitle
- Title Page
- Copyright
- Dedication
- Contents
- Preface
- Chapter 1. Introduction
- Chapter 2. Stability Theory via Vector Lyapunov Functions
- Chapter 3. Large-Scale Continuous-Time Interconnected Dynamical Systems
- Chapter 4. Thermodynamic Modeling of Large-Scale Interconnected Systems
- Chapter 5. Control of Large-Scale Dynamical Systems via Vector Lyapunov Functions
- Chapter 6. Finite-Time Stabilization of Large-Scale Systems via Control Vector Lyapunov Functions
- Chapter 7. Coordination Control for Multiagent Interconnected Systems
- Chapter 8. Large-Scale Discrete-Time Interconnected Dynamical Systems
- Chapter 9. Thermodynamic Modeling for Discrete-Time Large-Scale Dynamical Systems
- Chapter 10. Large-Scale Impulsive Dynamical Systems
- Chapter 11. Control Vector Lyapunov Functions for Large-Scale Impulsive Systems
- Chapter 12. Finite-Time Stabilization of Large-Scale Impulsive Dynamical Systems
- Chapter 13. Hybrid Decentralized Maximum Entropy Control for Large-Scale Systems
- Chapter 14. Conclusion
- Bibliography
- Index