Morse Decompositions for General Dynamical Systems and Differential Inclusions with Applications to Control Systems
Morse Decompositions for General Dynamical Systems and Differential Inclusions with Applications to Control Systems
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DOI：
10.1137/060662101
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发表时间：
2007-03
期刊：
影响因子：
--
通讯作者：
Desheng Li
中科院分区：
文献类型：
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作者：
Desheng Li
将单值动力系统的Morse分解理论推广到一般动力系统和微分包含。讨论了开环系统的链循环集、链循环分量（链控制集）和莫尔斯分解之间的关系。讨论了闭环系统反馈律在小时滞和采样保持控制下的鲁棒性。
The Morse decomposition theory for single-valued dynamical systems is extended to general dynamical systems and differential inclusions. Relations between chain recurrent sets, chain recurrent components (chain control sets), and Morse decompositions for open-loop systems are discussed. The robustness of feedback laws of closed-loop systems with respect to small time delays and sample-hold controls is also addressed.