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- 저자 : Xingfu Zhong (검색결과 2 건)
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TOPOLOGICAL ENTROPY OF SWITCHED SYSTEMS
Huang, Yu,Zhong, Xingfu Korean Mathematical Society 2018 대한수학회지 Vol.55 No.5
For a switched system with constraint on switching sequences, which is also called a subshift action, on a metric space not necessarily compact, two kinds of topological entropies, average topological entropy and maximal topological entropy, are introduced. Then we give some properties of those topological entropies and estimate the bounds of them for some special systems, such as subshift actions generated by finite smooth maps on p-dimensional Riemannian manifold and by a family of surjective endomorphisms on a compact metrizable group. In particular, for linear switched systems on ${\mathbb{R}}^p$, we obtain a better upper bound, by joint spectral radius, which is sharper than that by Wang et al. in [42,43].
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Topological entropy of switched systems
Yu Huang,Xingfu Zhong 대한수학회 2018 대한수학회지 Vol.55 No.5
For a switched system with constraint on switching sequences, which is also called a subshift action, on a metric space not necessarily compact, two kinds of topological entropies, average topological entropy and maximal topological entropy, are introduced. Then we give some properties of those topological entropies and estimate the bounds of them for some special systems, such as subshift actions generated by finite smooth maps on $p$-dimensional Riemannian manifold and by a family of surjective endomorphisms on a compact metrizable group. In particular, for linear switched systems on $\mathbb R^p$, we obtain a better upper bound, by joint spectral radius, which is sharper than that by Wang et al. in \cite{Wang-Ma2015, Wang-Ma-Lin2016}.
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