Nonlinear Systems Stability Analysis Lyapunov-Based Approach

• Main Author: Nikravesh, Seyed Kamaleddin Yadavar
• Format: eBook Book
• Language: English
• Published: United States CRC Press 2013; CRC Press, Taylor & Francis Group; Taylor & Francis Group
• Edition: 1
• Subjects: Chemical and related technologies; Lyapunov stability; Nonlinear control theory; Lyapunov Functional; Lyapunov Razumikhin Theorem; Razumikhin's Theorem; Membership Functions; Linguistic Fuzzy Modeling; FPN; Time Delayed Systems; Delay Dependent Stability Analysis; Symmetric Positive Definite Matrices; LMI Algorithm; Lyapunov Krasovskii Functional Candidate; Lyapunov Krasovskii Functional; Asymptotically Stable; Nonlinear Time Delay Systems; Linear Time Invariant Systems; Ordinary Differential Equations; Fuzzy Vector; Symmetric Positive Definite; Delay Independent Stability; Fuzzy Relational; Lyapunov Krasovskii Theorem; Fuzzy Composition; Petri Net
• ISBN: 9781466569294; 1466569298; 9781466569287; 9781138072770; 113807277X; 146656928X
• DOI: 10.1201/9781315215990

Using a Lyapunov-based approach, this book introduces advanced tools for the stability analysis of nonlinear systems. It first discusses standard stability techniques and their shortcomings and then introduces recent developments in stability analysis that can improve the applicability of standard techniques. Finally, the book proposes the stability analysis of special classes of nonlinear systems. Coverage includes the stability of ordinary time-invariant differential equations and time-invariant systems as well as the stability analysis of time-delayed systems and fuzzy linguistic systems models.