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Mean Square Exponential Stability of Stochastic Delay Differential Systems with Logic Impulses
Mathematics, 2023 This paper focuses on the mean square exponential stability of stochastic delay differential systems with logic impulses. Firstly, a class of nonlinear stochastic delay differential systems with logic impulses is constructed. Then, the logic impulses are
Chunxiang Li +4 more
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Mathematics, 2022 In this paper, quantitative mean square exponential stability and stabilization of Itô-type linear stochastic Markovian jump systems with Brownian and Poisson noises are investigated.
Gaizhen Chang +4 more
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IEEE Access, 2023 The effect of impulse on stability of neural network is evident not only in performance, that is, impulsive control and impulsive interference. The amount of impulse has a certain impact on stability of neural network.
Yueli Huang, Ailong Wu
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Mean-square exponential input-to-state stability of stochastic inertial neural networks
Advances in Difference Equations, 2021 By introducing some parameters perturbed by white noises, we propose a class of stochastic inertial neural networks in random environments. Constructing two Lyapunov–Krasovskii functionals, we establish the mean-square exponential input-to-state ...
Wentao Wang, Wei Chen
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Mean square exponential stability of stochastic function differential equations in the G-framework
Open Mathematics, 2023 This research focuses on the stochastic functional differential equations driven by G-Brownian motion (G-SFDEs) with infinite delay. It is proved that the trivial solution of a G-SFDE with infinite delay is exponentially stable in mean square. An example
Li Guangjie, Hu Zhipei
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Mean Square Exponential Stability of a Class of Stochastic Rcellular Neural Networks
Journal of Harbin University of Science and Technology, 2020 In this paper, the problem of the mean square exponential stability of a class of impulsive stochastic reactiondiffusion cellular neural networks (CNNs) with transmission delay and distributed delay, and parameter uncertainties is discussed.
LIU Xin, CHEN Lili, HUANG Shuai
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Advances in Difference Equations, 2021 This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi +3 more
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Mean square exponential stability of stochastic delay cellular neural networks
Electronic Journal of Qualitative Theory of Differential Equations, 2013 By constructing suitable Lyapunov functionals and combining with matrix inequality technique, a new simple sufficient condition is presented for the exponential stability of stochastic cellular neural networks with discrete delays. The condition contains
Yingxin Guo
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Abstract and Applied Analysis, 2012 The numerical approximation of exponential Euler method is constructed for semilinear stochastic differential equations (SDEs). The convergence and mean-square (MS) stability of exponential Euler method are investigated. It is proved that the exponential
Chunmei Shi, Yu Xiao, Chiping Zhang
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Journal of Inequalities and Applications, 2020 In this paper, we investigate the exponential mean-square stability for both the solution of n-dimensional stochastic delay integro-differential equations (SDIDEs) with Poisson jump, as well for the split-step θ-Milstein (SSTM) scheme implemented of the ...
Davood Ahmadian, Omid Farkhondeh Rouz
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