[PDF] Top 20 Stabilisation by Stochastic Feedback Control Based on Discrete-time Observations

... of control theory, it is the stochastic feedback control Ax(t)dB(t) that stabilizes the unstable system dx(t) dt = f ...linear stochastic feedback ...of stochastic coupled ... See full document

... exponential stabilisation of continuous- time hybrid stochastic differential equations (SDEs) (also known as SDEs with Markovian switch- ing [14]) by feedback controls based on the ... See full document

... the stabilisation of highly nonlinear hybrid SDEs by the feedback controls based on the discrete-time observations of the ...the stabilisation of nonlinear hybrid SDEs ... See full document

... quantized feedback control are studied for hybrid stochastic systems based on discrete-time observations of state and ...quantized feedback control ... See full document

... 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

... hybrid stochastic differential equations (SDEs) is the auto- matic control, with subsequent emphasis being placed on the analysis of stability ...by discrete-time feedback ...(regular) ... See full document

... from time 0 to τ and observe the whole segment {x(t) : 0 ≤ t ≤ ...the feedback control F (r(t))G(r(t))x(t − τ ) based on the past observation {x(t) : 0 ≤ t ≤ τ} as well as furthermore ... See full document

... hybrid stochastic differential equations (SDEs) with norm bounded uncertainties by feedback controls based on the discrete-time observations of both state and ...The ... See full document

... system dx(t) = f (x(t), r(t))dt + u(x([t/τ ]τ), r([t/τ ]τ))dB (t) is almost surely stable provided that τ < τ ∗ under the global Lipschitz condition plus the condition that guarantees the almost sure exponential sta- ... See full document

... uncertainties based on discrete state observations. Moreover, controllers will be put not only in drift part, but also in diffusion part of the system. The rest of this paper is arranged as follows. ... See full document

... Mathematics stochastic approximation algorithm is to find the optimum of a function, which cannot be computed directly, but only be estimated from noisy observations [24] [25] [26] [27], and its ... See full document

... by feedback controls based on discrete-time state observations in 2013, many authors have further studied and developed ...by feedback controls based on ... See full document

... the feedback controls based on continuous-time state observations to stabilize unstable stochastic delay systems with Markovian ...in time but also impractical ...hybrid ... See full document

... the feedback control function u(x(t), r(t), t) the author only needs a sequence of countable state x(bt/τ cτ), where τ > 0 is a constant and bt/τ c is the integer part of t/τ ...The control ... See full document

... hybrid stochastic differential equations (SDEs) (also known as SDEs with Markovian ...automatic control, with consequent emphasis being placed on the asymptotic analysis of stability [3, 12, 24, 21, 22, 27, ... See full document

... 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 ... See full document

... of feedback control based on discrete- time state observations to stabilize continuous-time hybrid stochastic systems in mean-square ...the feedback ... See full document

... a discrete- time stochastic feedback ...the discrete-time stochastic feedback control is because that the state of the given system is in fact observed only ... See full document

... as feedback control allow the engine to use information gained about a physical system to decrease the system entropy and hence extract useful work from the system Lloyd ...the feedback device ... See full document

... This paper is concerned with the estimation problem for incomplete information stochastic systems from discrete observations. The suboptimal estimation of the state is obtained by constructing the ... See full document