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Distributed finite-time stochastic control for spatially interconnected Markovian jump systems
Journal of the Franklin Institute ( IF 4.1 ) Pub Date : 2020-07-10 , DOI: 10.1016/j.jfranklin.2020.07.005
Hongyan Feng

This study discusses the analysis on finite-time stochastic stability and the distributed finite-time stochastic control synthesis for spatially interconnected Markovian jump systems in discrete-time case. To the best of our knowledge, the concepts of well-posedness, finite-time stochastic stability/boundedness and finite-time stochastic contractiveness are introduced for the first time. Moreover, a significant condition is explored to ensure that the expectation of system state stays in a fixed bound in a finite-time interval under a preset initial bound. Furthermore, the formulation of distributed stochastic controllers is developed such that the corresponding closed-loop spatially interconnected Markovian jump systems are well-posed, finite-time stochastic stable/bounded and finite-time stochastic contractive. Finally, a one-dimensional heat equation simulation result is employed to clarify the validity and effectiveness of the given control scheme.



中文翻译:

相互关联的马尔可夫跳跃系统的分布式有限时间随机控制

本研究讨论了离散时间情况下空间互连马尔可夫跳跃系统的有限时间随机稳定性分析和分布式有限时间随机控制综合。据我们所知,首次引入了适定性,有限时间随机稳定性/有界性和有限时间随机收缩性的概念。此外,探索了重要条件以确保对系统状态的期望在预设的初始界限下的有限时间间隔内保持在固定界限内。此外,开发了分布式随机控制器的公式,以使相应的闭环空间互连的马尔可夫跳跃系统具有良好的定位性,有限时间随机稳定/有界和有限时间随机收缩。最后,

更新日期:2020-09-10
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