In the paper, the k-switching reachability set R_k of a continuous-time positive switched system is introduced, and a necessary and sufficient condition for the chain of this sets R_k, k in N, to stop increasing after some finite index K is given. It is shown that, for special classes of (multiple-input) positive switched systems, reachability always ensures that R_n, n being the system dimension, is the whole positive orthant.
k-switching reachability sets of continuous-time positive switched systems
VALCHER, MARIA ELENA
2009
Abstract
In the paper, the k-switching reachability set R_k of a continuous-time positive switched system is introduced, and a necessary and sufficient condition for the chain of this sets R_k, k in N, to stop increasing after some finite index K is given. It is shown that, for special classes of (multiple-input) positive switched systems, reachability always ensures that R_n, n being the system dimension, is the whole positive orthant.File in questo prodotto:
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