In this paper, strong excitability of discrete-time positive switched systems is first introduced and then characterized in algebraic terms. Being a structural property, which only depends on the zero patterns of the matrices involved, strong excitability is then investigated by resorting to a graph-theoretic approach. This way, upper bounds on the strong excitability index, both in the general case and for a specific class of systems switching between two subsystems, are derived.
Strong excitability of discrete-time positive switched systems
VALCHER, MARIA ELENA
2007
Abstract
In this paper, strong excitability of discrete-time positive switched systems is first introduced and then characterized in algebraic terms. Being a structural property, which only depends on the zero patterns of the matrices involved, strong excitability is then investigated by resorting to a graph-theoretic approach. This way, upper bounds on the strong excitability index, both in the general case and for a specific class of systems switching between two subsystems, are derived.
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