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1 Bulletin of the Polish Academy of Sciences. Technical Sciences

1 2015

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The selected problems of controllability of discrete-time switched linear systems with constrained switching rule

Babiarz A., Czornik A., Klamka J., Niezabitowski M.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2015

Vol. 63, nr 3

657--666

In this paper the controllability problem for discrete-time linear switched systems is considered. The main goal is to find a control signal that steers any initial state to a given final state independently of the switching signal. In the paper, it is assumed that there are some constraints posed on the switching signal. Moreover, we present a necessary and sufficient conditions of some kinds of controllability. Three types of controllability, namely: from zero initial state to any final state, from any initial state to zero final state and from any initial state to any final state are considered. Finally, three illustrative examples are shown.