Zero-lag synchronization (ZLS) between chaotic units, which do not have self-feedback or a relay unit connecting them, is experimentally demonstrated for two mutually coupled chaotic semiconductor lasers. The mechanism is based on two mutual coupling delay times with certain allowed integer ratios, whereas for a single mutual delay time ZLS cannot be achieved. This mechanism is also found numer...

This paper addresses the problem of robust filtering for linear discrete-time systems subject to parameter uncertainties in the system state-space model and with multiple time delays in the state variables. The uncertain parameters are supposed to belong to a given convex bounded polyhedral domain. A methodology is developed to design a stable linear filter that assures asymptotic stability and...

We reinvestigate the dynamical behavior of a first order scalar nonlinear delay differential equation with piecewise linearity and identify several interesting features in the nature of bifurcations and chaos associated with it as a function of the delay time and external forcing parameters. In particular, we point out that the fixed point solution exhibits a stability island in the two paramet...

This paper addresses the H∞ filtering problem for time-delay systems with parameter uncertainty in a given convex polytope. To design a filter guaranteeing the asymptotic stability of the system with a prescribed H∞ performance level, a model transformation is first applied employing a twoterm approximation for delayed state variables, which has a smaller approximation error than the error give...

in this paper, behavior of teleoperation systems with modeling error and delay time error in smith predictor is discussed. in teleoperation systems, modeling error is inevitable. this paper discusses stability of teleoperation systems with modeling error. first, error of delay time in teleoperation systems by using of internet as communication channel is considered and the performance of smith ...

in this article a graph theoretical approach is employed to study some specifications of dynamic systems with time delay in the inputs and states, such as structural controllability and observability. first, the zero and non-zero parameters of a proposed system have been determined, next the general structure of the system is presented by a graph which is constructed by non-zero parameters. the...

Continuous pole placement method is adapted to time-periodic states of systems with time delay. The method is applied for finding an optimal control matrix in the problem of stabilization of unstable periodic orbits of dynamical systems via time-delayed feedback control algorithm. The optimal control matrix ensures the fastest approach of a perturbed system to the stabilized orbit. An applicati...

We study systems of relaxation oscillators in the presence of nearestneighbor coupling. It is shown that introduction of delay in the coupling leads to a slowing-down of the frequency of individual oscillators as well as of the average frequency of the system. In certain parameter ranges, we also observe the existence of metastable states. Both phenomena can be understood in a simple mean-field...

In this paper we introduce a new control strategy for linear time invariant (LTI) systems with a single time delay. The delay appears within the feedback control logic. Earlier research on this class of systems determines the delay intervals for stable operations, exhaustively, exactly and completely. The newly developed inverting control logic suggests a very practical procedure of reversing t...

Abstract: This paper deals with the state estimation of linear time-invariant discrete systems with unknown inputs. The forward sequences of the output are treated as additional outputs. In this case, the rank condition for designing the unknown input estimator is relaxed. The gain for minimal estimation error variance is presented, and a numerical example is given to verify the proposed unknow...