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Mean-square exponential stability analysis for stochastic systems of neutral-type

2010 8th World Congress on Intelligent Control and Automation, 2010
This paper addresses the problem of mean-square exponential stability of stochastic neutral systems with nonlinear stochastic perturbations. By introducing an auxiliary vector, it is shown that the deterministic Lyapunov-Krasovskii functionals can be extended to stochastic time-delay systems.
Junhong Wang, Yun Chen, Wei Xing Zheng
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EXPONENTIAL MEAN SQUARE STABILITY OF STOCHASTICALLY FORCED INVARIANT MANIFOLDS FOR NONLINEAR SDEs

Stochastics and Dynamics, 2007
An exponential mean square stability for the invariant manifold [Formula: see text] of a nonlinear stochastic system is considered. The stability analysis is based on the [Formula: see text]-quadratic Lyapunov function technique. The local dynamics of the nonlinear system near manifold is described by the stochastic linear extension system. We propose
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Exponential Mean Square Stabilization for Itô Stochastic Systems with Input Delay

2019 Chinese Control Conference (CCC), 2019
This paper is concerned with the Ito stochastic systems with input delay. The main contribution is to establish the equivalent condition for the mean-square stability of the stochastic systems with input delay. The key tool is a parameterized Riccati-ZXL equation.
Juanjuan Xu, Huanshui Zhang
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Discussion on: “Mean Square Exponential Stability for Some Stochastic Linear Discrete Time Systems”

European Journal of Control, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chizeck, Howard Jay   +2 more
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Explicit criteria for mean square exponential stability of stochastic differential equations

Applied Mathematics Letters, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exponential stability in mean square of neutral stochastic differential functional equations

Systems & Control Letters, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mean Square Exponential Stability of Stochastic Stieltjes Integral Delay Systems

2023 2nd Conference on Fully Actuated System Theory and Applications (CFASTA), 2023
Qianqian Zhang, Zhao-Yan Li
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