Title: A Smooth Converse Lyapunov Theorem for Robust Stability
Abstract:This paper presents a converse Lyapunov function theorem motivated by robust control analysis and design. Our result is based upon, but generalizes, various aspects of well-known classical theorems. I...This paper presents a converse Lyapunov function theorem motivated by robust control analysis and design. Our result is based upon, but generalizes, various aspects of well-known classical theorems. In a unified and natural manner, it (1) allows arbitrary bounded time-varying parameters in the system description, (2) deals with global asymptotic stability, (3) results in smooth (infinitely differentiable) Lyapunov functions, and (4) applies to stability with respect to not necessarily compact invariant sets.Read More
Publication Year: 1996
Publication Date: 1996-01-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 850
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot