二阶分布参数系统的稳定性和能控性
Stability and Controllability for Second Order Distributed Parameter System
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摘要: 讨论Hilbert空间上两个二阶线性系统的稳定性和能控性,在较一般的假设下,得到了 这两个系统的指数稳定性和精确能控性,渐近稳定性和近似能控性之间的关系.最后,给出 线性系统渐近稳定的一个充分必要条件.Abstract: The stability and controllability for two second order systems are considered. Under some general assumptions, the useful relation between exponential stability and exact controllability and the relation between approximate controllability of the two second order systems are obtained. Finally, a sufficient and necessary condition for a linear system to be asymptotic stable is given.
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