Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations [PDF]
, 2007 Relatively little is known about the ability of numerical methods for stochastic differential equations (SDEs) to reproduce almost sure and small-moment stability.
Burrage K. +3 more
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Mean-square exponential stabilization of mixed-autonomy traffic PDE system
AutomaticaControl of mixed-autonomy traffic where Human-driven Vehicles (HVs) and Autonomous Vehicles (AVs) coexist on the road has gained increasing attention over the recent decades. This paper addresses the boundary stabilization problem for mixed traffic on freeways.
Zhang, Yihuai +3 more
openaire +4 more sources
Asymptotics of solutions to semilinear stochastic wave equations
, 2006 Large-time asymptotic properties of solutions to a class of semilinear stochastic wave equations with damping in a bounded domain are considered. First an energy inequality and the exponential bound for a linear stochastic equation are established. Under
Chow, Pao-Liu
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Exponential Stability and Numerical Methods of Stochastic Recurrent Neural Networks with Delays
Abstract and Applied Analysis, 2013 Exponential stability in mean square of stochastic delay recurrent neural networks is investigated in detail. By using Itô’s formula and inequality techniques, the sufficient conditions to guarantee the exponential stability in mean square of an ...
Shifang Kuang +3 more
doaj +1 more source
Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time delays [PDF]
, 2010 Copyright [2010] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services.
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Stabilisation of hybrid stochastic differential equations by delay feedback control [PDF]
, 2008 This paper is concerned with the exponential mean-square stabilisation of hybrid stochastic differential equations (also known as stochastic dierential equations with Markovian switching) by delay feedback controls.
Huang, Lirong +3 more
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Synchronization of coupled neutral-type neural networks with jumping-mode-dependent discrete and unbounded distributed delays [PDF]
, 2013 This is the post-print version of the Article. The official published version can be accessed from the links below - Copyright @ 2013 IEEE.In this paper, the synchronization problem is studied for an array of N identical delayed neutral-type neural ...
Liang, J, Liu, X, Liu, Y, Wang, Z
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Journal of Applied Mathematics, 2013 We discuss the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses. By applying impulsive Gronwall-Bellman inequality, the stochastic analytic techniques, the fractional ...
Nan Ding
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Optics Express, 2018 A new double closed-loop control system with mean-square exponential stability is firstly proposed to optimize the detection accuracy and dynamic response characteristic of the integrated optical resonance gyroscope (IORG).
Hui Li +5 more
semanticscholar +1 more source
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 ...
Arik +31 more
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