Stochastic stability of discrete-time Markovian jump antilinear systems

机译：离散时间马尔可夫跳跃非线性系统的随机稳定性

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In this paper, we investigate the discrete-time antilinear systems with Markovian jumping parameters. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approaches, necessary and sufficient conditions are established for a DTMJ antilinear system to be stochastically stable in terms of coupled anti-Lyapunov matrix equations.

机译：在本文中，我们研究了具有马尔可夫跳跃参数的离散时间非线性系统。随机稳定性的概念扩展到离散时间马尔可夫跳跃（DTMJ）非线性系统的上下文。通过使用随机Lyapunov方法，建立了DTMJ反线性系统在耦合反Lyapunov矩阵方程方面具有随机稳定性的必要条件和充分条件。

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《Chinese Control and Decision Conference》|2014年|4381-4386|共6页
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Qian Yang-Yang; Wu Ai-Guo; Liu Wanquan;
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Educational institutions; Eigenvalues and eigenfunctions; Equations; Linear systems; Stability criteria; Stochastic processes; Discrete-time; Markovian Jump Antilinear Systems; Stochastic Stability;

机译：教育机构;特征值和特征函数;方程;线性系统;稳定性标准;随机过程;离散时间;马尔可夫跳跃反线性系统;随机稳定性;

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1. Stochastic stability for discrete-time antilinear systems with Markovian jumping parameters [J] . Ai-Guo Wu, Yang-Yang Qian, Wanquan Liu Control Theory & Applications, IET . 2015,第9期

机译：具有马尔可夫跳跃参数的离散时间非线性系统的随机稳定性
2. Stability and Stabilization for Discrete-time Markovian Jump Stochastic Systems with Piecewise Homogeneous Transition Probabilities [J] . Zhou Meijiao, Fu Yanming International Journal of Control, Automation, and Systems . 2019,第9期

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3. Stochastic stability of nonlinear discrete-time Markovian jump systems with time-varying delay and partially unknown transition rates [J] . Hien L. V., Dzung N. T., Trinh H. Neurocomputing . 2016,第JANa29PTaA期

机译：具有时变时滞和未知转移率的非线性离散时间马尔可夫跳跃系统的随机稳定性
4. Stochastic stability of discrete-time Markovian jump antilinear systems [C] . Qian Yang-Yang, Wu Ai-Guo, Liu Wanquan Chinese Control and Decision Conference . 2014

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5. Stability analysis of jump-linear systems driven by finite-state machines with Markovian inputs. [D] . Patilkulkarni, Sudarshan S. 2004

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6. Global exponential stability of Markovian jumping stochastic impulsive uncertain BAM neural networks with leakage mixed time delays and α-inverse Hölder activation functions [O] . C. Maharajan, R. Raja, Jinde Cao, -1

机译：具有泄漏混合时滞和α-逆Hölder激活函数的Markovian跳跃随机脉冲不确定BAM神经网络的全局指数稳定性
7. Stochastic stability and stabilization of discrete-time singular Markovian jump systems with partially unknown transition probabilities [O] . Wang Jianhua, Zhang Qingling, Yan Xinggang, 2015

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8. Discrete-Time Markovian Jump Linear Systems [R] . Szajowski, K., de Koning, W. L. 1992

机译：离散时间马尔可夫跳跃线性系统

Stochastic stability of discrete-time Markovian jump antilinear systems

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