[PDF] Top 20 The almost sure stability of coupled system of stochastic delay differential equations on networks
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The almost sure stability of coupled system of stochastic delay differential equations on networks
... of coupled systems is the automatic control with consequent emphasis being placed on the analysis of ...the almost surely asymptotic stability of the ... See full document
22
On the almost sure running maxima of solutions of affine stochastic functional differential equations
... linear stochastic functional differential ...special stochastic delay differential equations (SDDEs) with fixed delays, with their results having particular application to population ...fixed ... See full document
33
Stability of highly nonlinear neutral stochastic differential delay equations
... Many stochastic dynamical systems do not only depend on present and past states but also involve derivatives with ...Neutral stochastic differential delay equations (NSDDEs) are often ... See full document
7
Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching
... all stochastic differential systems are exponentially stable, there are also a lot of stochastic systems which are stable but subject to a lower decay rate other than exponential ...polynomial ... See full document
17
Analysis of stability for stochastic delay integro differential equations
... Stochastic delay integro-differential equations, as the mathematical model, widely apply in biology, physics, economics and finance [1, ...the stochastic delay integro- differential ... See full document
13
Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching
... jump system, the mode switches from one value to another in a random way, governed by a Markov process with discrete state space; the evolution of this Markov process may also depend on the continuous ...or ... See full document
23
Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients
... on stability and boundedness have received a great deal of ...robust stability of linear delay ...robust stochastic stability of a linear ...robust stability of uncertain linear ... See full document
16
Stability of highly nonlinear hybrid stochastic integro-differential delay equations
... the stability of the systems due to highly ...no delay dependent criterion which can be applied to the SIDDE to derive a su ffi cient bound on the time-delay τ such that the SIDDE ... See full document
27
Exponential stability of fractional stochastic differential equations with distributed delay
... Equations driven by fractional Brownian motion are attracting more and more attention. This paper considers fractional stochastic differential equations with distributed delay. With the ... See full document
8
A note on the existence and uniqueness of the solutions to SFDES
... Stochastic differential equations (SDEs) are well known to model problems from many areas of science and ...the stability analysis of stochastic functional differen- tial ... See full document
11
On almost sure stability of hybrid stochastic systems with mode-dependent interval delays
... hybrid stochastic retarded systems (HSRSs) have been widely used since stochastic modelling plays an important role in many branches of science and ...Consequently, stability analysis of HSRSs and ... See full document
5
Asymptotic behaviours of stochastic differential delay equations
... his stochastic calculus more than 50 years ago, the theory of stochastic differential equations has been developed very ...with stochastic stability by many authors, and we here ... See full document
7
Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations
... multiple- delay SDE is stable or not depends on how small or large the time-delay ...the stability of systems due to highly nonlinear. However, there is no delay dependent criterion which can ... See full document
18
Exponential stability of highly nonlinear neutral pantograph stochastic differential equations
... Pantograph differential equation was used by Ock- endon and Tayler [15] to investigate how the electric current is collected by the pantograph of an electric locomotive, from where it gets the ...tograph ... See full document
12
Stabilisation of stochastic differential equations with Markovian switching by feedback control based on discrete-time state observation with a time delay
... One important aspect of the study on SDEs with Markovian switching is the automatic control. There are many papers devoted to this field with emphasis on the asymptotic analysis of stability, and we just mention ... See full document
15
Almost sure stability of the Euler-Maruyama method with random variable stepsize for stochastic differential equations
... the almost sure stability of SDEs with the global Lipschitz coefficients, but the requirements on the time stepsize are very ...equation system at each ... See full document
24
Almost sure exponential stability of stochastic differential delay equations
... the almost sure exponential stability of the SDE, then there exists a positive number τ ∗ such that the SDDE ...also almost surely exponentially stable as long as the delay is bounded ... See full document
16
Almost sure exponential stability of numerical solutions for stochastic delay differential equations
... moment stability (for example, [3,4,6–8,21,25] for SDEs and [2,18] for ...the almost sure stability of numerical methods for SDEs, it was shown, by the Chebyshev inequality and the ... See full document
17
Almost sure exponential stability of an explicit stochastic orthogonal Runge Kutta Chebyshev method for stochastic delay differential equations
... For the purpose of stability, we assume that f (, ) = g(, ) = , which implies that (.) admits the equilibrium solution y(t) = corresponding to the initial condition ψ (t) = for t ∈ [–τ , ]. As a ... See full document
8
Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations
... Stochastic differential equations (SDEs) and their stability have been used with great success in a variety of applications areas, including biology, epidemiology, mechanics, neural ... See full document
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