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A Converse Liapunov Theorem for Uniformly Locally Exponentially Stable Systems Admitting Caratheodory Solutions

Date

Authors

Trumpf, Jochen

Mahony, Robert

Publisher

International Federation of Automatic Control (IFAC)

Abstract

This paper provides a converse Liapunov theorem for uniformly locally exponentially stable, locally Lipschitz, non-linear, time-varying, possibly non-smooth systems that admit Caratheodory solutions. The main result proves that a critical point of such a

Keywords

Keywords: Caratheodory; Caratheodory solution; Converse Liapunov theorem; Critical points; Exponentially stable; Liapunov function; Lipschitz; Local exponential stability; Non-linear; Non-smooth; Nonsmooth systems; Time varying; Lyapunov functions; Nonlinear contro Caratheodory solution; Converse Liapunov theorem; Uniform local exponential stability

URI

http://hdl.handle.net/1885/59162

Collections

ANU Research Publications

Source

Proceedings of NOLCOS 2010

Type

Conference paper

DOI

10.3182/20100901-3-IT-2016.00090

Restricted until

2037-12-31

Downloads

File

Description

01_Trumpf_A_Converse_Liapunov_Theorem_2010.pdf (159.92 KB)

02_Trumpf_A_Converse_Liapunov_Theorem_2010.pdf (159.91 KB)