CUED Publications database

Instability and overshoots of solutions for a class of homogeneous hybrid systems by Lyapunov-like analysis

Forni, F and Teel, AR (2010) Instability and overshoots of solutions for a class of homogeneous hybrid systems by Lyapunov-like analysis. In: UNSPECIFIED pp. 2390-2395..

Full text not available from this repository.

Abstract

For a class of homogeneous hybrid systems we present a generalization to the hybrid systems framework of Chetaev's theorem and we propose a set of Lyapunov-like conditions for studying instability of the point x e = 0 and overshoots of solutions (namely when the norm of the solution vector x at some time instant exceeds the norm of the initial condition of x). Based on these results, we design a sum of squares algorithm that constructs a suitable Lyapunov-like function to fulfill such conditions. ©2010 IEEE.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:29
Last Modified: 21 Sep 2017 01:37
DOI: