SENSITIVITY TO SMALL DELAYS OF MEAN SQUARE STABILITY FOR STOCHASTIC NEUTRAL EVOLUTION EQUATIONS [PDF]
, 2020 In this work, we are concerned about the mean square exponential stability property for a class of stochastic neutral functional differential equations with small delay parameters.
Wang, Xiulian, Wang, Wei, Liu, Kai
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Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays
Abstract and Applied Analysis, 2012 This paper is concerned with mean square exponential stability of switched stochastic system with interval time-varying delays. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable.
Manlika Rajchakit, Grienggrai Rajchakit
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Square-mean global exponential stability of state variable x1 of model (33).
, 2019 Square-mean global exponential stability of state variable x1 of model (33).
Tianwei Zhang (169823) +2 more
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Robust stability for stochastic Hopfield neural networks with time delays [PDF]
, 2006 This is the post print version of the article. The official published version can be obtained from the link below - Copyright 2006 Elsevier Ltd.In this paper, the asymptotic stability analysis problem is considered for a class of uncertain stochastic ...
Liu, X, Wang, Z, Shu, H, Fang, J
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Square-mean global exponential stability of state variable x2 of model (33).
, 2019 Square-mean global exponential stability of state variable x2 of model (33).
Tianwei Zhang (169823) +2 more
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Mean Square Exponential Stability of Stochastic Complex-Valued Neural Networks with Mixed Delays
Complexity, 2019 This paper investigates the mean square exponential stability problem of a class of complex-valued neural networks with stochastic disturbance and mixed delays including both time-varying delays and continuously distributed delays.
Xiaohui Xu, Jibin Yang, Yanhai Xu
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Predator-prey Activity-Tuned Ecological System: An Exhilarating Rollercoaster of Survival [PDF]
International Journal of Mathematical, Engineering and Management SciencesIn natural ecosystems, the timing of daily activity in predator and prey plays a crucial role in determining their encounters and evolutionary outcomes. This study explores how coevolution in circadian activity patterns emerges from the dynamic interplay
Rajat Kaushik +2 more
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Nonuniform Mean-square Exponential Dichotomies and Mean-square Exponential Stability
, 2019 In this paper, the existence conditions of nonuniform mean-square exponential dichotomy (NMS-ED) for a linear stochastic differential equation (SDE) are established. The difference of the conditions for the existence of a nonuniform dichotomy between an SDE and an ordinary differential equation (ODE) is that the first one needs an additional assumption,
Zhu, Hailong, Chen, Li, He, Xiuli
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, 1996 Several results concerning asymptotical mean square stability of equilibria of specific linear stochastic systems are presented and proven. These discrete time systems can be interpreted as numerical solution of stochastic differential equations driven ...
Schurz, Henri
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Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations [PDF]
LMS Journal of Computation and Mathematics, 2003 AbstractPositive results are proved here about the ability of numerical simulations to reproduce the exponential mean-square stability of stochastic differential equations (SDEs). The first set of results applies under finite-time convergence conditions on the numerical method.
Higham, D.J., Mao, X., Stuart, A.M.
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