Geodesic
Bounded-input-bounded-state stabilization of switched processes and periodic asymptotic controllability
Kybernetika, Tome 53 (2017) no. 3, pp. 530-544.

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The main result of this paper is a sufficient condition for the existence of periodic switching signals which render asymptotically stable at the origin a linear switched process defined by a pair of $2\times 2$ real matrices. The interest of this result is motivated by the application to the problem of bounded-input-bounded-state (with respect to an external input) stabilization of linear switched processes.
DOI : 10.14736/kyb-2017-3-0530
Classification : 93B60, 93D20
Keywords: switched processes; asymptotic controllability; bounded-input-bounded-state stability 
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Bacciotti, Andrea. Bounded-input-bounded-state stabilization of switched processes and periodic asymptotic controllability. Kybernetika, Tome 53 (2017) no. 3, pp. 530-544. doi : 10.14736/kyb-2017-3-0530. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-3-0530/

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