Sufficient conditions for almost sure stability of jump linearsystems

Li Z.G.; Soh Y.C.; Wen C.Y.

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Sufficient conditions for almost sure stability of jump linearsystems

机译：足以确定跳跃线性系统稳定性的充分条件

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This paper derives less conservative conditions for almost-sure stability of jump linear systems by using the stochastic version of Lyapunov's second method. To ensure the required stability, the Lyapunov function is only required to be nonincreasing along each of the specially organized subsequences of “jumgings”. This allows one to handle the case where some or even all subsystems are unstable and provides more choices of Lyapunov functions

机译：本文使用Lyapunov第二种方法的随机形式，得出了跳跃线性系统几乎确定的稳定性的较不保守的条件。为了确保所需的稳定性，仅要求Lyapunov函数在“ jummings”的每个特别组织的子序列中不增加。这样一来，可以处理某些甚至所有子系统不稳定的情况，并提供更多Lyapunov函数选择

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《IEEE Transactions on Automatic Control》 |2000年第7期|p.1325-1329|共5页
作者
Li Z.G.; Soh Y.C.; Wen C.Y.;
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正文语种 eng
中图分类自动化系统;
关键词
Discrete time systems; Linear systems; Lyapunov methods; Stability; Stochastic systems; Lyapunov function; almost sure stability; discrete time systems; jump linear systems; sufficient conditions;

机译：离散时间系统;线性系统;Lyapunov方法;稳定性;随机系统;Lyapunov函数;几乎确定的稳定性;离散时间系统;跳跃线性系统;充分条件;

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1. Necessary and sufficient conditions for robust stability of linearsystems with multiaffine uncertainty structure [J] . Polyak B.T., Kogan J. IEEE Transactions on Automatic Control . 1995,第7期

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2. The novel sufficient conditions of almost sure exponential stability for semi-Markov jump linear systems [J] . Wang Bao, Zhu Quanxin Systems and Control Letters . 2020,第1期

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3. Sufficient conditions for almost sure stability of jump linear systems [J] . Li Z.G., Soh Y.C. IEEE Transactions on Automatic Control . 2000,第7期

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Sufficient conditions for almost sure stability of jump linearsystems

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