[PDF] Top 20 Robust stability of a class of stochastic functional differential equations with Markovian switching
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Robust stability of a class of stochastic functional differential equations with Markovian switching
... or stochastic dynamical systems, which usually result in instability (see ...the stability is an interesting ...states. Stochastic functional differential equations (SFDEs), including ... See full document
25
Delay-dependent robust stability of stochastic delay systems with Markovian switching
... Hybrid systems driven by continuous-time Markov chains are used to model various practical systems where they may experience abrupt changes in their structure and parameters, such as failure prone manufacturing systems, ... See full document
6
Exponential stability of stochastic functional differential equations with Markovian switching and delayed impulses via Razumikhin method
... exponential stability of stochastic functional differential equations with Markovian switching and delayed ...Several stability theorems of impulsive hybrid ... See full document
18
Numerical solutions of neutral stochastic functional differential equations with Markovian switching
... Neutral functional differential equations (NFDEs) are a class of differential equations, in which the state not only depends on the past and the current values, but also involves the derivatives ... See full document
25
Partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching by boundary condition
... partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching (NSFDEwMSs) has been investigated, the sufficient ... See full document
8
Razumikhin Type Theorems on General Decay Stability of Impulsive Stochastic Functional Differential Systems with Markovian Switching
... Impulsive stochastic systems with Markovian switching is a class of hybrid dynamical systems, which is com- posed of both the logical switching rule of continuous-time finite-state ... See full document
13
On pth moment exponential stability of stochastic differential equations with Markovian switching and time varying delay
... with Markovian switching and time-varying delay under the follow- ing assumptions: the delay functions are differentiable and the corresponding derivatives are simultaneously required to be not greater than ... See full document
11
Approximate solutions of stochastic differential delay equations with Markovian switching
... the equations to be globally Lipschitz, see [3], [5], for ...broad class of SDEs without the linear growth condi- tion nor the bounded pth moment property under some additional conditions in terms of ... See full document
15
Comparison theorem of one-dimensional stochastic hybrid delay systems
... of stochastic differential equations with Markovian switching (SDEwMSs) with stochastic coefficients f, g while the classical f , g are ...the equations in Section ... See full document
12
Robust stability analysis for discrete and distributed time delays Markovian jumping reaction diffusion integro differential equations with uncertain parameters
... Lyapunov stability theory, and the M-matrix, H-matrix, and linear matrix inequality (LMI) techniques and variational methods to obtain the LMI-based stochastically exponential robust stability ... See full document
16
Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching
... = f(x(t), x(t − τ ), t, r(t)) + g (x(t), x(t − τ ), t, r(t))dB(t). (1.3) In [12], the existence and uniqueness of the solution to Eq. (1.3) are discussed and, moreover, both moment asymptotic boundedness and moment ... See full document
23
Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching
... a class of special stochastic delay systems, stochastic pantograph equations (SPEs) with unbounded delay have been investigated by many scholars, we can refer to Baker and Buck- war [3], ... See full document
17
Stability of sets of stochastic functional differential equations with impulse effect
... the stability of sets for a class of impulsive stochastic functional differential ...the stability of sets of impulsive stochastic functional differential equations ... See full document
13
On input-to-state stability of stochastic retarded systems with Markovian switching
... with stochastic functional differential equations with Markovian switching and called hybrid stochastic retarded systems ...hybrid stochastic delay systems (HSDSs), ... See full document
12
Backstepping controller design for a class of stochastic nonlinear systems with Markovian switching
... of stochastic differential equations(SDE) has been one of the most important research topics not only for pure mathematics but also for other sub- jects such as ...Recently, stability of SDE ... See full document
10
Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations
... asymptotic stability and boundedness, we defer the proof to the ...for stochastic differential equations which is in terms of a single Lyapunov ... See full document
8
Almost sure exponential stability of hybrid stochastic functional differential equations
... In this paper we investigated the almost sure exponential stability of the n-dimensional nonlinear hybrid SFDE (2.1). Under the Lipschitz condition, we showed that if the corresponding hybrid SDE (2.10) is almost ... See full document
19
Existence and stability of solutions to non linear neutral stochastic functional differential equations in the framework of G Brownian motion
... Neutral stochastic functional differential equations (NSFDEs) play a key role in model- ing physical, technical, biological and economic dynamic systems such as predicting op- tion pricing and the ... See full document
14
Stabilization of Functional System with Markovian Switching
... to stability, some on suppression or on stabilization are one type of ...them. Functional diffe- rential systems are common and important in ...neutral differential systems and generalization of ... See full document
7
Stabilisation of stochastic differential equations with Markovian switching by feedback control based on discrete-time state observation with a time delay
... with Markovian switching is the automatic ...of stability, and we just mention some of the works [14, 15, 8, 13, 19, 17, 18, 20, 21, 22, 23, 24] and the references ... See full document
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