1st Edition
Nonlinear Systems Stability Analysis Lyapunov-Based Approach
Basic Concepts
Mathematical Model for Nonlinear Systems
Existence and Uniqueness of Solutions
Qualitative Behavior of Second-Order Linear Time-Invariant Systems
Stability Analysis of Autonomous Systems
System Preliminaries
Lyapunov’s Second Method for Autonomous Systems
Lyapunov Function Generation for Linear Systems
Lyapunov Function Generation for Nonlinear Autonomous Systems
Relaxed Lyapunov Stability Conditions
New Stability Theorems
Lyapunov Stability Analysis of a Transformed Nonlinear System
Endnotes
Stability Analysis of Nonautonomous Systems
Preliminaries
Relaxed Lyapunov Stability Conditions
New Stability Theorems
Application of Partial Stability Theory in Nonlinear Nonautonomous System Stability Analysis
Stability Analysis of Time-Delayed Systems
Preliminaries
Stability Analysis of Linear Time-Delayed Systems
Delay-Dependent Stability Analysis of Nonlinear Time-Delayed Systems
An Introduction to Stability Analysis of Linguistic Fuzzy Dynamic Systems
TSK Fuzzy Model System’s Stability Analysis
Linguistic Fuzzy Stability Analysis Using a Fuzzy Petri Net
Linguistic Model Stability Analysis
Stability Analysis of Fuzzy Relational Dynamic Systems
Asymptotic Stability in a Sum-Prod FRDS
Asymptotic Convergence to the Equilibrium State
Biography
Seyyed Kamaleddin Yadavar Nikravesh, Ph.D., is a professor in the electrical engineering department at Amirkabir University of Technology. His research interests include dynamic and biomedical modeling, system stability, and system optimization. He has published five different books on electrical circuit analysis, optimal control systems, industrial control system analysis, industrial control system synthesis and design, and system stability analysis: Lyapounov-based approach. He has also published more than 180 journal and conference papers, mostly in systems modeling, and system stability analysis and synthesis, which form the main structure of his present book.
