[PDF] Top 20 Stabilisation of hybrid stochastic differential equations by feedback control based on discrete-time observations of state and mode

... exponential stabilisation of continuous-time hybrid stochastic differential equations (SDEs) by the feedback controls based on the discrete-time ... See full document

... of hybrid systems by feedback control based on discrete- time observations of state and mode has been studied by several authors since 2013, the ... See full document

... unstable hybrid stochastic differential equation (SDE), can we design a feedback control, based on the discrete-time observations of the state at ... See full document

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

... the control function u(x, i, t) used in this paper is allowed to depend on the mode i ...the state of the Markov ...the control function u(x, i, t), which is the key for our theory to be ... See full document

... of hybrid stochastic systems by feedback controls based on discrete-time state observations was initiated in [13], where an upper bound on the duration τ between ... See full document

... Hybrid stochastic differential equations (SDEs) (also known as SDEs with Markovian switching), usually used to model practical systems where they may experience abrupt changes in their ... See full document

... the stochastic feedback controls is that the controls depend on the current state x(t) ...the state of the given system is in fact observed only at discrete times such as 0, τ, 2τ, ... See full document

... the mode r ( t ) is available for all time although we only require the state x ( t ) to be available at discrete ...when hybrid SDEs are used to model electric power systems [34] and ... 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

... (regular) feedback control u(x(t), r(t), t). The regular feedback control requires the continuous observations of the state x(t) for all t ≥ 0, while the feedback ... See full document

... continuous state of x(t) to construct 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 ... See full document

... on differential equations with piecewise constant ...of stochastic stabilization for some kinds of continuous-time stochastic differential equations (SDEs) by ... See full document

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

... continuous-time hybrid uncertain stochastic systems with time-varying ...a feedback controller based on discrete-time state observations such that, ... See full document

... by feedback controls based on the discrete-time state observations for the deterministic differential equations has already been studied by many authors (see ... See full document

... Some stochastic systems may experience abrupt changes in their structures and parameters because of environment changes, random failures of components, ...etc. Hybrid stochastic systems with ... See full document

... continuous-time feedback con- trol requires continuous observation of the state x(t) for all time t ≥ ...the state is only observed at discrete times, say 0, τ, 2τ, · · · , where ... See full document

... a discrete-time sliding mode controller for a class of state delay nonlinear discrete sys- ...of state delay system is taken care by carefully selecting Lyapunov-Krasovskii ... See full document

... corresponding hybrid stochastic differential equation (SDE) dy(t) = f (y(t), r(t), t)dt +g(y(t), r(t), t)dB(t) is almost surely exponentially stable, then there exists a positive number τ ∗ such that the ... See full document