نتایج جستجو برای: mean square stability

تعداد نتایج: 962878  

Journal: :International Journal of Robust and Nonlinear Control 2022

Abstract This article investigates the mean‐square strong stability and stabilization of a discrete‐time stochastic system corrupted by multiplicative noises. First, definition (MS) is addressed to avoid overshoots in dynamics, two necessary sufficient conditions for MS‐strong are derived. Moreover, relationship between MS‐stability given. Second, some via state feedback (SF) output obtained, r...

Journal: :Applications of Mathematics 1979

Journal: :The Annals of Mathematical Statistics 1941

2012
Chunfang Miao Yunquan Ke

Abstract: In this paper, the mean square exponential stability of the periodic solution of stochastic CohenGrossberg-Type BAM neural networks with delays are investigated. By constructing suitable Lyapunov function, applying Itô formula, integral mean-value theorem and Poincaré mapping, we give several sufficient conditions to guarantee the mean square exponential stability of the periodic solu...

This paper examines stability analysis of two classes of improved backward Euler methods, namely split-step $(theta, lambda)$-backward Euler (SSBE) and semi-implicit $(theta,lambda)$-Euler (SIE) methods, for nonlinear neutral stochastic delay differential equations (NSDDEs). It is proved that the SSBE method with $theta, lambdain(0,1]$ can recover the exponential mean-square stability with some...

2017
Ling Zhang

The main purpose of this paper is to investigate the strong convergence and exponential stability in mean square of the exponential Euler method to semi-linear stochastic delay differential equations (SLSDDEs). It is proved that the exponential Euler approximation solution converges to the analytic solution with the strong order [Formula: see text] to SLSDDEs. On the one hand, the classical sta...

2011
Dianli Zhao Dong Han

* Correspondence: [email protected] Department of mathematics, Shanghai Jiaotong University, Shanghai, 200240, China Full list of author information is available at the end of the article Abstract In this article, some inequalities on convolution equations are presented firstly. The mean square stability of the zero solution of the impulsive stochastic Volterra equation is studied by using ...

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