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首页> 外文期刊>Automatic Control, IEEE Transactions on >Stability and Stabilizability of Continuous-Time Linear Compartmental Switched Systems
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Stability and Stabilizability of Continuous-Time Linear Compartmental Switched Systems

机译：连续时间线性区间交换系统的稳定性和可镇定性

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摘要

In this paper, we introduce continuous-time linear compartmental switched systems and investigate their stability and stabilizability properties. By their nature, these systems are always stable. Necessary and sufficient conditions for asymptotic stability for arbitrary switching functions, and sufficient conditions for asymptotic stability under certain dwell-time conditions on the switching functions are proposed. Finally, stabilizability is thoroughly investigated and proved to be equivalent to the existence of a Hurwitz convex combination of the subsystem matrices, a condition that, for positive switched systems, is only sufficient for stabilizability.
机译：在本文中，我们介绍了连续时间线性隔室切换系统，并研究了它们的稳定性和稳定性。从本质上讲，这些系统始终是稳定的。提出了任意开关函数渐近稳定的充要条件，以及在一定的停留时间条件下开关函数渐近稳定的充分条件。最后，对稳定性进行了彻底研究，并证明其与子系统矩阵的Hurwitz凸组合等效，对于正切换系统，该条件仅足以满足稳定性。

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