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Positive 2D hybrid linear systems

Kaczorek T.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2007

Vol. 55, nr 4

351-358

A new class of positive hybrid linear systems is introduced. The solution of the hybrid system is derived and necessary and sufficient condition for the positivity of the class of hybrid systems are established. The classical Cayley-Hamilton theorem is extended for the hybrid systems. The reachability of the hybrid system is considered and sufficient conditions for the reachability are established. The considerations are illustrated by a numerical example.