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Ultimate boundedness of impulsive stochastic delay differential equations with delayed impulses
Statistics & Probability Letters, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhiguang, Zhu, Quanxin
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Ultimate Boundedness of Stochastic Hopfield Neural Networks
Journal of Convergence Information Technology, 2011Abstract Hopfield neural networks with nonlinear and delay-type template elements have been extensively studied in past years and found many applications for solving a number of problems in various scientific disciplines. Although ultimate boundedness of several classes of neural networks with constant delays was studied by some researchers, the ...
Li WAN -, Qinghua ZHOU -
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Ultimate boundedness of discrete stochastic time-delay systems with logic impulses
Neural Computing and Applications, 2019In this paper, we introduce a discrete stochastic time-delay system with impulses suffered by logic choice and a pth moment $$(\mu ,\rho )$$-ultimate boundedness concept for this new system. Based on the pth moment ultimate boundedness concept, we give some pth moment $$(\mu ,\rho )$$-ultimate boundedness criteria for this new system.
Zhenhua He, Jitao Sun
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Applied Mathematics Letters, 2021
In this paper, the \(p\)th moment asymptotical ultimate boundedness is considered for highly nonlinear pantograph stochastic differential equations. By Lyapunov function approach and stochastic analysis techniques, several novel criteria on the \(p\)th moment asymptotical boundedness are derived.
Yinfang Song, Zhigang Zeng, Tao Zhang
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In this paper, the \(p\)th moment asymptotical ultimate boundedness is considered for highly nonlinear pantograph stochastic differential equations. By Lyapunov function approach and stochastic analysis techniques, several novel criteria on the \(p\)th moment asymptotical boundedness are derived.
Yinfang Song, Zhigang Zeng, Tao Zhang
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Ultimate boundedness of stochastic Cohen-Grossberg neural networks with delays
2012 International Conference on Systems and Informatics (ICSAI2012), 2012The ultimate boundedness is one of foundational concepts, which plays an important role in investigating the global asymptotic stability, its control and synchronization for dynamical systems. The ultimate boundedness of stochastic Cohen-Grossberg neural networks with time-varying delays is investigated.
Qinghua Zhou, Li Wan, Guo Cheng
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Exponential ultimate boundedness of impulsive stochastic delay difference systems
International Journal of Robust and Nonlinear Control, 2017SummaryThis paper is concerned with the exponential ultimate boundedness problems for the impulsive stochastic delay difference systems. Several sufficient conditions on the globalpth moment exponential ultimate boundedness are presented by using the Lyapunov methods and the algebraic inequality techniques, and the estimated exponential convergence ...
Liguang Xu, Hongxiao Hu, Shuzhi Sam Ge
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Exponential ultimate boundedness of nonlinear stochastic difference systems with time-varying delays
International Journal of Control, 2015In this paper, we discuss the boundedness of nonlinear stochastic difference systems with time-varying delays. Several criteria on exponential ultimate boundedness in mean square are derived. Examples are also discussed to illustrate the effectiveness of the obtained results.
Xu, L., Ge, S.S.
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Ultimate boundedness and weak recurrence of stochastic evolution equations
Stochastic Analysis and Applications, 1999We study the weak recurrence and weakly positive recurrence properties to compact sets for the strong solutions of stochastic evolution equations.
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Acta Applicandae Mathematicae
The authors introduce and construct a class of stochastic periodic chemostat systems, under the assumption that the nutrient input concentration and noise intensities are periodic, which are endowed with many biological meanings. They discuss the importance of studying the stochastic ultimate boundedness of the solution for the stochastic periodic ...
Zhang, Xiaofeng, Zhang, Yujing
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The authors introduce and construct a class of stochastic periodic chemostat systems, under the assumption that the nutrient input concentration and noise intensities are periodic, which are endowed with many biological meanings. They discuss the importance of studying the stochastic ultimate boundedness of the solution for the stochastic periodic ...
Zhang, Xiaofeng, Zhang, Yujing
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