In this paper we consider the class of discretetime switched systems switching between two autonomous positive subsystems. It is shown that if these systems are stabilizable, they can be stabilized by means of a periodic switching sequence, which asymptotically drives to zero every positive initial state. Necessary and sufficient conditions for the existence of state-dependent stabilizing switching laws, based on the values of a copositive (linear/quadratic) Lyapunov function, are investigated.
Stabilizability of discrete-time positive switched systems
FORNASINI, ETTORE;VALCHER, MARIA ELENA
2010
Abstract
In this paper we consider the class of discretetime switched systems switching between two autonomous positive subsystems. It is shown that if these systems are stabilizable, they can be stabilized by means of a periodic switching sequence, which asymptotically drives to zero every positive initial state. Necessary and sufficient conditions for the existence of state-dependent stabilizing switching laws, based on the values of a copositive (linear/quadratic) Lyapunov function, are investigated.File in questo prodotto:
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