Addendum to “Stability of switched systems: a Lie-algebraic condition”
نویسندگان
چکیده
where x ∈ R, {Ap, p ∈ P} is a compact set of n × n matrices, P is an index set, and σ : [0,∞) → P is a piecewise constant switching signal. The main result of [1] (Theorem 2) states that the system (1) is globally exponentially stable, uniformly over all switching signals, if all the matrices Ap, p ∈ P are Hurwitz and the Lie algebra generated by these matrices is solvable. (Hurwitzness of the matrices Ap, p ∈ P, as well as of all their convex combinations, is also a necessary condition for such a stability property.)
منابع مشابه
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