Stability of systems coupled through noisy mediums
Stability of systems coupled through noisy mediums
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DOI：
10.1109/acc.2016.7525373
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发表时间：
2016-07
期刊：
影响因子：
--
通讯作者：
H. Ito
中科院分区：
文献类型：
--
作者：
H. Ito
研究了具有随机噪声的互联系统的稳定性问题。这类系统包括仅由随机噪声引入耦合的互联系统。另一个例子是通过噪声放大耦合。本文介绍了如何构造李雅普诺夫函数来验证此类系统的稳定性，并说明了当系统涉及非线性时，其行为会发生急剧变化。小增益型的渐近稳定性，积分输入到状态稳定性和输入到状态稳定性的建议。本文还提出了一种独特的方法来减少可能的保守性。
This paper focuses on stability of interconnected systems whose connecting channels are exposed to stochastic noises. This class of systems includes interconnected systems whose coupling is brought in only by stochastic noises. Another example is coupling through noisy amplification. This paper shows how to construct Lyapunov functions to verify stability for such a class of systems, and illustrates that the behavior changes drastically when systems involve nonlinearities. Small-gain type criteria are proposed for asymptotic stability, integral input-to-state stability and input-to-state stability. This paper also proposes a unique way to reduce possible conservativeness.