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Finite-time H∞ Filtering for A Class of Discrete-Time Hidden Markov Jump Systems with Conic-Type Nonlinearities

机译：一类具有圆锥型非线性隐式隐马尔可夫跳跃系统的有限时间H∞滤波

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摘要

In this paper, the finite-time H∞ filter design issue for a class of Markov jump systems with conic-type nonlinearities is studied. There is the asynchronous phenomenon between the system modes and filter modes, we use the hidden Markov model to analyse it. By using the appropriate Lyapunov-Krasovskii function and applying linear matrix inequalities, the H∞ filter design issues can be solved. The error dynamic Markov jump systems are finite-time bounded and meet the given H∞ index. Finally, the simulation results prove the validity of the proposed approach.

机译：本文中的有限时间H ∞ 研究了一类具有圆锥型非线性的马尔可夫跳跃系统的滤波器设计问题。系统模式和滤波模式之间存在异步现象，我们使用隐马尔可夫模型对其进行分析。通过使用适当的Lyapunov-Krasovskii函数并应用线性矩阵不等式，H ∞ 过滤器设计问题可以解决。误差动态马尔可夫跳跃系统是有时间限制的，并且满足给定H ∞ 指数。最后，仿真结果证明了该方法的有效性。

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《Chinese Control and Decision Conference》|2020年|2244-2249|共6页
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Xiaoxiao Lyu; Peng Cheng; Shuping He;
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Hidden Markov models; Markov processes; Linear systems; Symmetric matrices; Linear matrix inequalities; Performance analysis;

机译：隐马尔可夫模型;马尔可夫过程;线性系统;对称矩阵;线性矩阵不等式;性能分析;

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2. Observer-based finite-time asynchronous control for a class of hidden Markov jumping systems with conic-type non-linearities [J] . Control Theory & Applications, IET . 2020,第2期

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3. Finite-time H_∞ filtering for a class of discrete-time Markovian jump systems with partly unknown transition probabilities [J] . Jun Cheng, Hong Zhu, Shouming Zhong, International Journal of Adaptive Control and Signal Processing . 2014,第10期

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4. Stability and Stabilization for Nonlinear Discrete-time Singular Markov Jump Systems with Time-varying Delay Stability and Stabilization for Nonlinear Discrete-time Singular Markov Jump Systems with Time-varying Delay [C] . Rui Wang, Shuping Ma Chinese Control and Decision Conference . -1

机译：时滞非线性离散时间奇异Markov跳跃系统的稳定性和镇定
5. Image classification using expansion matching filters and hidden Markov trees. [D] . Bharadwaj, Priya Krishnan. 2001

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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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7. Finite-time asynchronous dissipative filtering of conic-type nonlinear Markov jump systems [O] . Xiang Zhang, Shuping He, Vladimir Stojanovic, 2021

机译：圆锥形非线性马尔可夫跳转系统有限时间异步耗散滤波

Finite-time H∞ Filtering for A Class of Discrete-Time Hidden Markov Jump Systems with Conic-Type Nonlinearities

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