In this article, an observer with delay-dependent stability conditions has been presented for time delay systems with unknown inputs, where the time delay terms exist in the state and output of the system. The designing of this observer, whose performance index is the H2 norm, has been formulated as a nonlinear optimization problem. By using the finite characterization of a Lyapunov functional ...

This paper deals with the solution bounds for time-delay systems via delay-dependent Lyapunov– Krasovskiimethods. Solution bounds arewidely used for systemswith input saturation caused by actuator saturation or by the quantizers with saturation.We show that an additional bound for solutions is needed for the first time-interval, where t < τ(t), both in the continuous and in the discrete time. T...

This paper deals with the problem of delay-dependent H∞ filtering for singular time-delay systems. First, a new delay-dependent condition which guarantees that the filter error system has a prescribed H∞ performance γ is given in terms of linear matrix inequalities LMIs . Then, the sufficient condition is obtained for the existence of theH∞ filter, and the explicit expression for the desiredH∞ ...

This paper is concerned with the observer design problem for a class of discrete-time uncertain nonlinear systems with time-varying delay. The nonlinearities are assumed to satisfy global Lipschitz conditions which appear in both the state and measurement equations. The uncertainties are assumed to be time-varying but norm-bounded. Two Luenberger-like observers are proposed. One is delay observ...