Decay rates for stabilization of linear continuous-time systems with random switching
Decay rates for stabilization of linear continuous-time systems with random switching
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DOI：
10.3934/mcrf.2019002
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发表时间：
2015-11
影响因子：
1.2
通讯作者：
F. Colonius;Guilherme Mazanti
中科院分区：
文献类型：
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作者：
F. Colonius;Guilherme Mazanti
对于一类连续时间线性切换系统，一个能控性条件意味着状态反馈允许以任意指数衰减率实现几乎必然的镇定。这是基于在离散时间中应用于关联系统的乘法遍历定理。这一结果与线性持续激励系统的镇定问题有关。
For a class of linear switched systems in continuous time a controllability condition implies that state feedbacks allow to achieve almost sure stabilization with arbitrary exponential decay rates. This is based on the Multiplicative Ergodic Theorem applied to an associated system in discrete time. This result is related to the stabilizability problem for linear persistently excited systems.