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Nonlinear Systems Stability Analysis

Lyapunov-Based Approach

Nonlinear Systems Stability Analysis by Seyed Kamaleddin Yadavar Nikravesh
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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

CRC Press; January 2013
313 pages; ISBN 9781466569294
Read online, or download in secure PDF format
Title: Nonlinear Systems Stability Analysis
Author: Seyed Kamaleddin Yadavar Nikravesh
 
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