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Stabilization of Continuous-Time Switched Linear Positive Systems (2009)
| Citations: | 25 - 5 self |
BibTeX
@MISC{Colaneri09stabilizationof,
author = {Patrizio Colaneri and Jose C. Geromel and Richard Middleton},
title = { Stabilization of Continuous-Time Switched Linear Positive Systems},
year = {2009}
}
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Abstract
In this paper we tackle a few problems related to linear positive switched systems. First, we provide a result on state-feedback stabilization of autonomous linear positive switched systems through piecewise linear co-positive Lyapunov functions. This is accompanied by a side result on the existence of a switching law guaranteeing an upper bound to the optimal L1 cost. Then, the induced L1 guaranteed cost cost is tackled, through constrained piecewise linear co-positive Lyapunov functions. The optimal L1 cost control is finally studied via Hamiltonian function analysis.
