This paper is concerned with the problem of exponential stabilization for a class of uncertain nonlinear systems with state delay by means of periodically intermittent control. Based on the Lyapunov-Krasovskii functional approach, several sufficient conditions of exponential stabilization for this class of uncertain nonlinear systems with state delay are proposed, which have been expressed in t...

The objective of this work is to study the benefits that delay can provide in simplifying the control process of largescale systems, motivated by the availability of different types of delays in man-made and biological systems. We show that a continuous-time linear time-invariant (LTI) controller can be approximated by a simple controller that mainly uses delay blocks instead of integrators. Mo...

this paper is concerned with the problem of delay dependent H∞ control of discrete-time uncertain recurrent neural networks with time varying-delays. The neural network is subject to parameter uncertainty, and time-varying delay. For the robust H∞ stabilization problem, a state feedback controller is designed to ensure global robust stability of the closed-loop system about its equilibrium poin...

A robust control scheme is proposed for a class of systems with uncertainty and time delay based on disturbance observer technique. A disturbance observer is developed to estimate the disturbance generated by an exogenous system, and the design parameter of the disturbance observer is determined by solving linear matrix inequalities (LMIs). Based on the output of the disturbance observer, a rob...

The paper exposes some of the potential of a recently introduced backstepping transformation for linear uncertain time-delay systems to address the classic problems of equilibrium regulation under partial measurements, disturbance rejection, parameter or delay adaptation. For each of these problems, an implementable control strategy is proposed. It is analyzed through a convergence analysis of ...

This paper is concerned with robust observer design for linear time-delay systems in the presence of unstructured uncertainties and of disturbances as well. The proposed method ensures the stability of the observer and the H∞ attenuation of uncertainty and disturbance effects on the estimated error. The result is developed ina delay dependent framework and the observer gain matrix is obtained b...

Sliding mode control synthesis is developed for a class of uncertain time-delay systems with nonlinear disturbances and unknown delay values whose unperturbed dynamics is linear. The synthesis is based on a new delay-dependent stability criterion. The controller constructed proves to be robust against sufficiently small delay variations and external disturbances. An admissible upperbound such t...

This paper studies the problems of quadratic stabilization and H∞ control for a class of multi-time-delay uncertain discrete systems. Suppose that the time-varying uncertain parameters are norm-bounded, but not required to satisfy strict matched conditions, state and input for the system are both with multi-time-delay. New sufficient conditions of quadratic stabilization and H∞ control are give...

Problems of stability and H∞ control for discrete-time T-S fuzzy systems with state delay and uncertainties are discussed. A new delay-dependent stability criterion is first proposed by defining an appropriate Lyapunov function. Then, the sufficient conditions for the existence of H∞ fuzzy state-feedback controller is investigated in terms of linear matrix inequality(LMI). Finally, an iterative...

This paper is concerned with the robust stability for uncertain systems with time-varying delay and nonlinear perturbations. Using Lyapunov stability theory and free weighting matrix techniques, delaydependent stability criterion is derived in terms of linear matrix inequality without applying any bounding techniques. Finally, numerical example is given to illustrate the improvement over some e...