控制半流、链可控性与线性时滞系统的Selgrade分解
Control semiflows, chain controllability, and the Selgrade decomposition for linear delay systems
AI总结：
本文针对状态与控制均含时滞且控制范围有界的线性系统引入连续半流，证明唯一链控制集对应链回复集，并借助Selgrade定理的推广得到指数分离子丛分解。
摘要：
针对状态和控制中均含有时滞且控制范围有界的线性控制系统，引入了一个连续半流。状态包含控制函数。证明了存在唯一的链控制集，它对应于该半流的链回复集。该半流可提升为无穷维向量丛上的线性半流，其基流是链传递的。通过Selgrade定理的一个近期推广，给出了指数分离子丛的分解。
英文摘要：
A continuous semiflow is introduced for linear control systems with delays in the states and controls and bounded control range. The state includes the control functions. It is proved that there exists a unique chain control set which corresponds to the chain recurrent set of the semiflow. The semiflow can be lifted to a linear semiflow on an infinite dimensional vector bundle with chain transitive base flow. A decomposition into exponentially separated subbundles is provided by a recent generalization of Selgrade's theorem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
