An algorithm of uniform ultimate boundedness for a class of switched linear systems

Author: Zhang Xiaoli   Zhao Jun  

Publisher: Taylor & Francis Ltd

ISSN: 1366-5820

Source: International Journal of Control, Vol.75, Iss.16-17, 2002-11, pp. : 1399-1405

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

Uniform ultimate boundedness of a class of switched linear systems is studied. A switched linear system in this class consists of m subsystems, and none of the individual subsystems need to be stabilizable. The switched linear system is shown to be uniformly ultimately bounded for any pre-given bound if the union of individual controllable subspaces covers the entire state space. An algorithm for guaranteeing uniform ultimate boundedness is given to provide the design of continuous controllers and the switching strategy.