This paper reports the stochastic resonance (SR) phenomenon with memory effects for a Brownian particle in potential whose shape is subjected to deformation. We model deformation system by Remoissenet–Peyrard and time-delayed feedback. The question of possible influence feedback on occurrence SR then our interest. examine numerically effect strength as well time delay terms hysteresis loop area...

A driving simulator study was conducted to assess whether real-time feedback on a driver's state can influence the driver's interaction with in-vehicle information systems (IVIS). Previous studies have shown that IVIS tasks can undermine driver safety by increasing driver distraction. Thus, mitigating driver distraction using a feedback mechanism appears promising. This study was designed to te...

In this paper problem of finite-time optimal state feedback control for a class of time-varying linear parameter-varying (LPV) systems with a known delay in the state vector under quadratic cost functional is investigated via a successive approximation algorithm. The method of successive approximation algorithm results an iterative scheme, which successively improves any initial control law ult...

linear state bisection is introduced as a new method to find time-invariant state feedback control laws for a special form of underactuated nonlinear systems. the specialty of the systems considered is that every unactuated state should be coupled with at least two directly actuated states. the basic idea is based on bisecting actuated states and using linear combinations with adjustable parame...

A new approach for pole placement of nonlinear systems using state feedback and fuzzy system is proposed. We use a new online fuzzy training method to identify and to obtain a fuzzy model for the unknown nonlinear system using only the system input and output. Then, we linearized this identified model at each sampling time to have an approximate linear time varying system. In order to stabilize...

We propose a necessary condition for the successful stabilization of a periodic orbit, using the extended version of time-delayed feedback control. This condition depends on the number of real Floquetmultipliers larger than unity and is therefore related to the wellknown odd-number limitation in non-autonomous systems. We show that the period of the orbit that is induced by mismatching the dela...

We demonstrate that time-delayed feedback control can be improved by adaptively tuning the feedback gain. This adaptive controller is applied to the stabilization of an unstable fixed point and an unstable periodic orbit embedded in a chaotic attractor. The adaptation algorithm is constructed using the speed-gradient method of control theory. Our computer simulations show that the adaptation al...

We study the “finite extinction phenomenon” for solutions of parabolic reaction-diffusion equations of the type ∂u ∂t −∆u+ b(t)f(u(t− τ,x)) = 0, (t,x) ∈ (0,+∞)×Ω, with a delay term τ > 0. Here Ω is an open and bounded set in R , b ≥ 0, f is a continuous function, u(t,x) satisfies a homogeneous Neumann or Dirichlet boundary condition on (0,+∞)×∂Ω and some functional initial condition u(s,x) = u0...