[PDF] Top 20 Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations
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Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations
... a delay feedback control in order to stabilise a given unstable hybrid SDE whose drift and diffusion coefficients are highly ...the stabilisation by delay feedback ... See full document
15
Stabilisation of hybrid stochastic differential equations by delay feedback control
... the feedback control in the diffusion part but, in this paper, we will only consider the case where the control is put into the drift ...the control depends on a past state, say x(t − τ ), due ... See full document
20
Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients
... of hybrid SDDEs is the automatic control, with current emphasis placed on asymptotic stability and boundedness arising from automatic ...of highly nonlinear SDDEs, for example, ...to ... See full document
17
Stabilisation of stochastic differential equations with Markovian switching by feedback control based on discrete-time state observation with a time delay
... the control function u(x(t), r(t), t) based on the continuous state of ...of feedback control based on discrete-time state observation, and that work is the first paper applying this idea to SDEs ... See full document
15
Stabilisation of highly nonlinear hybrid systems by feedback control based on discrete-time state observations
... unstable hybrid stochastic differential equation (SDE), can we design a feedback control, based on the discrete-time observations of the state at times 0, τ, 2τ, · · · , so that the ... See full document
13
Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients
... Stochastic differential delay equations (SDDEs) are widely used to model those systems dependent on the present and past states(see, ... See full document
16
Generalised criteria on delay dependent stability of highly nonlinear hybrid stochastic systems
... establish delay dependent criteria for highly nonlinear hybrid stochastic differential delay equations (SDDEs) (by highly nonlinear we mean the ... See full document
18
Exponential stability of highly nonlinear neutral pantograph stochastic differential equations
... Stochastic delay differential equations are widely used to model stochastic systems whose evolution depends on past history of the ...the hybrid systems driven by continuous-time ... See full document
12
Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations
... In this paper we first show that unstable linear hybrid SDEs can be stabilized by the linear feedback controls based on the discrete- time state observations. We then generalize the theory to a class of ... See full document
8
Almost sure exponential stability of stochastic differential delay equations
... unstable differential equation ˙ x(t) = αx(t), we see that it is the stochastic feedback control σx(t)dB (t) that stabilizes the unstable system ˙ x(t) = ...αx(t). Stochastic stabi- ... See full document
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Almost sure exponential stabilisation of stochastic systems by state-feedback control
... of stabilisation of differential equations by noise have been studied by many authors and we here mention Arnold, Crauel & Wihstutz (1983); Pardoux & Wihstutz (1992); Mao (1994); Kwieci´ nska ... See full document
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Robust stabilization of hybrid uncertain stochastic systems with time varying delay by discrete time feedback control
... are feedback controllers with or without de- ...state feedback controller to stabilize bilinear uncertain time-delay stochastic systems with Markovian jumping parameters in the mean-square ... See full document
17
Stability of highly nonlinear neutral stochastic differential delay equations
... existing delay-dependent stability criteria is that most of them can only be applied to delay systems where their coefficients are either linear or nonlinear but bounded by linear functions (see, ... See full document
7
Stability of highly nonlinear hybrid stochastic integro-differential delay equations
... of equations are linear or nonlinear but bounded by linear ...established delay-dependent stability criteria for the highly nonlinear SDDEs by the method of Lyapunov ...the ... See full document
27
Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations
... of stochastic differential delay equations are interesting ...the highly nonlinear hybrid multiple-delay ...of equations are linear or nonlinear but bounded ... See full document
18
Stabilisation of hybrid stochastic differential equations by feedback control based on discrete-time observations of state and mode
... deterministic differential equations has been studied by several authors (see ...the stabilisation problem by discrete-time feedback controls for hybrid ... See full document
15
Chebyshev spectral collocation method for stochastic delay differential equations
... differential equations [–] with smooth coefficients and simple domain have been well applied by many ...differential equations [] or special DDEs ... See full document
12
Stochastic optimal control to a nonlinear differential game
... the nonlinear stochastic control problem of a zero sum differential ...the control weights to the variance of the Brownian noise played an important role towards the ...the control path ... See full document
14
Periodic solutions of delay differential equations with feedback control for enterprise clusters based on ecology theory
... of delay differential equations with feedback control ...with feedback control for enterprise clusters based on ecology theory ... See full document
15
Approximate solutions of stochastic differential delay equations with Markovian switching
... Moreover, most of the SDDEwMSs do not have explicit solutions whence the nu- merical solutions are required. The classical convergence theory for numerical methods to SDEs requires the coefficients of the ... See full document
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