Abstract—In the paper, the k-switching reachability set R_k of a single-input positive switched system is introduced, and conditions for the chain of this sets R_k, to stop increasing after some finite index k are given. For the special class of positive switched systems, which commute among n single-input n-dimensional systems, sufficient conditions that ensure that the n-switching reachability set coincides with the positive orthant R+^n are given. In particular, it is proved that when the system is reachable and n = 2; 3, this is always true, namely R_n = R+^n.
On the k-switching reachability sets of single-input positive switched systems
VALCHER, MARIA ELENA
2009
Abstract
Abstract—In the paper, the k-switching reachability set R_k of a single-input positive switched system is introduced, and conditions for the chain of this sets R_k, to stop increasing after some finite index k are given. For the special class of positive switched systems, which commute among n single-input n-dimensional systems, sufficient conditions that ensure that the n-switching reachability set coincides with the positive orthant R+^n are given. In particular, it is proved that when the system is reachable and n = 2; 3, this is always true, namely R_n = R+^n.File in questo prodotto:
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