Abstract
This study examines the stabilization of continuous-time Markovian jump systems, whose controller is added in the diffusion section. Unlike the traditionally stochastic controllers, the proposed controller is connected by a communication network. Not only the state but also the switching signal is sampled and transmitted. Because the sampling of switching signals makes analyzing and synthesizing the system more difficult, an auxiliary system approach is presented to handle these problems. Particularly, a novel system with an exponential matrix characterizing the sampling effects is developed while the sampling rate is fully considered in the given conditions. Moreover, more special situations of sampled controllers are considered. Two numerical examples are offered to confirm the effectiveness and superiority of the methods proposed in this study.
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Acknowledgements
This work was supported by Open Project of Key Field Alliance of Liaoning Province (Grant No. 2022-KF-11-03), and National Natural Science Foundation of China (Grant Nos. 61903076, 62073158). The authors would like to thank the anonymous associate editor and reviewers for their very helpful comments and suggestions.
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Wang, G., Song, S. & Huang, C. Stochastic stabilization of Markovian jump systems closed by a communication network: an auxiliary system approach. Sci. China Inf. Sci. 66, 202202 (2023). https://doi.org/10.1007/s11432-022-3701-7
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DOI: https://doi.org/10.1007/s11432-022-3701-7