Finite-time stabilization of discrete Markov jump systems with partly known transition probabilities

机译：具有部分已知跃迁概率的离散Markov跳跃系统的有限时间稳定

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This paper concerns the finite-time stabilization of discrete Markov jumps systems (MJSs) with partly known transition probabilities (TPs) which are allowed to be known, uncertain with known lower and upper bounds and completely unknown. Combining the property of TPs, sufficient conditions are developed to guarantee that the system states do not exceed a certain threshold in mean-square sense during a specified time interval. It is shown that the method proposed in this paper is less or at least the same conservative than the existing result. Numerical examples are further given to demonstrate the effectiveness of the proposed method.

机译：本文涉及具有部分已知的转移概率（TPs）的离散Markov跳变系统（MJS）的有限时间稳定性，该转移概率是已知的，具有已知的上下限和不确定的且完全未知。结合TP的属性，可以开发出足够的条件来保证系统状态在指定的时间间隔内均方根不超过特定的阈值。结果表明，本文提出的方法与现有结果相比保守性较低或至少相同。数值例子进一步证明了该方法的有效性。

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《2014 International Conference on Mechatronics and Control》|2014年|2420-2424|共5页
会议地点 Jinzhou(CN)
作者
Mouquan Shen; Yuhao Yuan;
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作者单位

Coll. of Autom. Electr. Eng., Nanjing Univ. of Technol., Nanjing, China;

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正文语种 eng
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2. Finite-time H_∞ filtering for discrete-time Markovian jump systems with partly unknown transition probabilities [J] . Jun Cheng, Hong Zhu, Shouming Zhong, Canadian Journal of Physics . 2013,第12期

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3. Finite-time stochastic stability and stabilisation of linear discrete-time Markovian jump systems with partly unknown transition probabilities [J] . Zuo Z., Liu Y., Wang Y., Control Theory & Applications, IET . 2012,第10期

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4. Finite-time stabilization of discrete Markov jump systems with partly known transition probabilities [C] . Mouquan Shen, Yuhao Yuan International Conference on Mechatronics and Control . 2014

机译：具有部分已知的过渡概率的离散马尔可夫跳跃系统的有限时间稳定
5. Finite-time stability and finite-time stabilization [D] . Bhat, Sanjay Purushottam. 1997

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6. Enhanced robust finite-time passivity for Markovian jumping discrete-time BAM neural networks with leakage delay [O] . C Sowmiya, R Raja, Jinde Cao, -1

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Finite-time stabilization of discrete Markov jump systems with partly known transition probabilities

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