Controllability of switched infinite-dimensional linear dynamical systems

During last few years switched both linear and nonlinear control systems have been considered in many papers and monographs. However, most of the results are given for finite-dimensional switched system. In this paper we shall present results concerning controllability of infinite-dimensional linear discrete-time switched systems. For controllability analysis of switched linear control systems there is much more difficult situation because we have to determined the control input and the switching rule. Thus, the interaction between them is very important from controllability point of view. In this paper using results taken directly from linear operators in Hilbert spaces we shall present a survey (without proofs) of the new results on controllability for linear discrete-time switched dynamical systems with unconstrained admissible controls.