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arXiv · 1911.07238

Exponential Stability of a Class of Infinite Dimensional Coupled Systems

Zhan-Dong Mei
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Abstract

This paper is concerned with exponential stability of a class of infinite dimensional coupled systems. It is proved that under some admissibility conditions, the considered infinite dimensional coupled system is governed by a $C_0$-semigroup. Furthermore, if both the free subsystems are governed by exponentially stable $C_0$-semigroups, then so is the coupled system. The results are applied to simplify the proof of semigroup generation and exponential stability for several coupled systems emerged in control theory literatures.

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Zhan-Dong Mei. 2019-11-17. Exponential Stability of a Class of Infinite Dimensional Coupled Systems. https://arxiv.org/abs/1911.07238

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