Controllability and observability of the switched systems in banach space

Many experiment models in some branches of physics and technical science turn out to be switched functional differential systems in Banach Space while reports about the switched system in Banach Space seems few because a much more difficult situation arises from the variation of the space with the endowed norm. In this note the controllability and observability issues for switched linear control systems are extended to Banach Space with bounded operators. Sufficient conditions for controllability, sufficient and necessary condition for observability are established respectively. And the controllability condition is discussed for the infinite delay case. The results are obtained by using the semigroup theory, Arzela-Ascoli theorem and the Schaefer fixed-point theorem. Copyright © 2009 Watam Press.