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首页> 外文期刊>SIAM Journal on Control and Optimization >Asymptotic properties of input-output operators norm associated with singularly perturbed systems with multiplicative white noise
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Asymptotic properties of input-output operators norm associated with singularly perturbed systems with multiplicative white noise

机译:与具有乘性白噪声的奇摄动系统有关的输入输出算子范数的渐近性质

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摘要

In this paper, we study the problem of the asymptotic property of the norm of input-output operators related to a class of singularly perturbed stochastic linear systems. The system is under perturbation of multiplicative white noise. By using reduction order and boundary layer techniques, it is shown that the norm of the operator of the perturbed system is less than a given number gamma when the small perturbation tends to zero if both the related norms of the reduced subsystem and the boundary layer subsystem are less than gamma. Furthermore, a stabilizing robust controller is designed, which is independent of perturbation epsilon. [References: 53]
机译:本文研究了一类奇摄动随机线性系统的输入输出算子范数的渐近性质问题。该系统在乘性白噪声的干扰下。通过使用降阶和边界层技术,表明如果归约子系统和边界层子系统的相关范数都小的扰动趋于零时,被摄动系统算子的范数小于给定数伽玛。小于伽玛此外,设计了一种稳定的鲁棒控制器,该控制器独立于扰动ε。 [参考:53]

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