[PDF] Top 20 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, · ... See full document

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

... dynamics. Since the end of the last century, Cooke and Wiener [5], Aftabizadeh, Wiener and Xu [6] and Gy¨ori, Ladas and Pakula [7], started intense investigation on differential equations with piecewise constant ... 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

... Stochastic differential equations (SDEs) with Markovian switching in recent years have been at- tracting a lot of attention. We refer the readers to monographs [1, 2] on this field for the detailed introduction. As the ... See full document

... as time varying structured uncertainty(see for example, Shamma (1994), Mao et ...stochastic systems with multiple delays, where a Lyapunov-Krasovskii functional had been used for ...stochastic ... See full document

... output feedback problem for linear and nonlinear systems is an important problem not yet completely solved and continuously investigated by many ...the state vector and only the partial ... See full document

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

... that time delay frequently occurs in various dynamic systems and, very often, it has an unstable effect and leads to poor performance of control ...of hybrid stochastic time-delay ... See full document

... For nonlinear systems, we cannot compute the exact discrete-time model in general, therefore, an approximate discrete-time model has to be ...of state feedback RHCs ... See full document

... output feedback stabilization is one of the most important problems in the area of nonlinear robust ...the nonlinear time-delay system anymore ...via state feedback, the output ... See full document

... between nonlinear sampled-data observer and nonlinear continuous-time observer driven by sampled-data output, although they all use only sampled data of the ...as discrete- time ... See full document

... structure control (VSC) [1] [2]. VSC, is characterized by discontinuous feedback control law which switches the system in a predefined subspace ...continuous time delay systems by using ... 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

... are feedback controllers with or without de- ...a state feedback controller to stabilize bilinear uncertain time-delay stochastic systems with Markovian jumping parameters in the ... See full document

... dynamic discrete-time systems with both constant and time-varying delay nonlinearities is addressed in ...the nonlinear system is assumed to verify the usual Lipschitz condition that ... See full document

... of discrete- time uncertain Lipschitz nonlinear ...preview control theory, our primary task is to construct an augmented error system which incorporates the tracking error and the reference ... See full document

... the nonlinear scalar differential equation dx(t) dt = f (x(t)) is unstable but it can be stabilized by a Brownian motion Ax(t)dB(t), namely, the nonlinear stochastic differential ... 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

... The authors would like to thank the editors and referees for their very helpful comments and suggestions. The authors would also like to thank the EPSRC (EP/E009409/1), the Royal Society of London (IE131408), the Royal ... See full document