Filtered Lyapunov functions and their applications in the stability analysis of nonlinear systems

Author

Battilotti, Stefano

Author_Institution

Dipt. di Informatica e Sistemistica "Antonio Ruberti", Univ. di Roma "La Sapienza", Rome

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

349

Lastpage

354

Abstract

In this paper we introduce a new type of Lyapunov functions in a general framework particularly suitable for the analysis of systems with noise and uncertainty. These Lyapunov functions may depend on parameters possibly satisfying differential equations or inequalities. The main differences with respect to classical Lyapunov functions and classical tools for the design of composite Lyapunov functions are discussed through examples. A design tool for the design of composite filtered Lyapunov functions is given and examples show improvements over existing literature

Keywords

Lyapunov methods; control system analysis; control system synthesis; filtering theory; interconnected systems; nonlinear control systems; uncertain systems; Lyapunov function filtering; differential equations; interconnected systems; nonlinear systems; stability analysis; Control systems; Differential equations; Feedforward systems; Interconnected systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Stability analysis; USA Councils; Uncertainty; Filtered Lyapunov functions; inter-connected systems; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377047

Filename

4177362