Proceedings of the 2003 American Control Conference, pp. 2767-2772, Denver, Colorado, June 4-6, 2003.
Also ISIS Technical Report ISIS-2003-002, March 2003.
Also submitted for journal publication.

Abstract --In this paper, practical stabilization problems for integra-tor switched systems are studied. In such class of switched systems, no subsystem has an equilibrium. However, the
system can still exhibit interesting behaviors around a given point under appropriate switching laws. Such behaviors are similar to those of a conventional stable system near an equi-librium. We introduce some practical stability notions to define such behaviors. In particular, a necessary and suffi-cient condition for practical stabilizability of such systems is given. Moreover, for practically stabilizable systems, we develop a minimum dwell time switching law which can eas-ily be implemented. Finally, as an application, we apply the switching law to a batch process example.

[pdf file]