Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations |
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| Authors: | Xiongping Dai |
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| Institution: | Department of Mathematics, Nanjing University, Nanjing 210093, People?s Republic of China |
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| Abstract: | In this paper, we mainly show the following two statements.- (1)
- A discrete-time topological Markovian jump linear system is uniformly exponentially stable if and only if it is robustly periodically stable, by using a Gel?fand–Berger–Wang formula proved here.
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