In this paper, we propose a robust controller design method for discrete-time systems with sector-bounded nonlinearities and time-varying delay. Based on the Lyapunov theory, delaydependent stabilization criteria are obtained in terms of linear matrix inequalities (LMIs) by constructing the new Lyapunov-Krasovskii functional and using some inequalities. A robust state feedback controller is des...

Abstract: This paper is concerned with the robust stability of a class of uncertain discrete-time systems with timevarying delays and state saturation nonlinearities. The saturation nonlinearities are assumed to be the standard saturation function, and the delay is allowed to be time-varying with known bounds. By applying the Lyapunov stability theorem and the delay-fractioning approach, a suit...

This paper deals with the problems of stability analysis and control synthesis with H∞ performance for the master-slave synchronization of Lur’e systems using a time-delay feedback control. The proposed approach consists in obtaining a new improvedH∞ robust stability criteria as well as a control law based on linear matrix inequalities (LMIs) via discretized Lyapunov–Krasovskii functional combi...

In this paper, the problem of sliding mode controller design for uncertain multi-input systems with several fixed state delays is addressed. A combined sliding mode controller is considered and it is designed for the stabilization of perturbed multi-input timedelay systems with matched parameter uncertainties and external disturbances. Delay-independent stability conditions are derived by using...

This paper is devoted to stability analysis of linear systems with state delay and input saturation. The domain of attraction resulting from an a priori designed state feedback law is analyzed using Lyapunov–Razumikhin and Lyapunov–Krasovskii functional approach. Both delay-independent and delay-dependent estimation of the domain of attraction are presented using the linear matrix inequality te...

We consider a class of nonlinear second-order differential equations with constant delay and investigate qualitative properties the solutions, namely, global stability zero solution, eventually uniform boundedness existence periodic unique stationary oscillation considered equations. As far as technique proofs is concerned, we use Lyapunov–Krasovskii functional method second Lyapunov to prove o...

In this paper the stability of zero equilibrium a system with time delay is studied. The critical case multiple root characteristic equation linearized treated by applying Malkin type theorem and using complete Lyapunov-Krasovskii functional. An application to model for malaria under treatment considering action immune presented.

We consider a class of  systems of nonlinear  differential equations  neu tral type with distributed delay and periodic coefficients in the linear part. Using Lyapunov–Krasovskii functional, sufficient conditions for exponential stability zero solution are established estimates characterizing rate decay solutions at infinity, as well set attraction, obtained.

We investigate the exponential stability of a linear system neutral-type with variable time lags. By using Newton–Leibniz formula and Lyapunov–Krasovskii functional, we prove two results on solutions. The criteria are stated in form matrix inequalities. MATLAB-Simulink software, present numerical examples illustrating applicability our assumptions. obtained extend generalize already known avail...

This article investigates the practical exponential stability and design problems of conformable time-delay systems. Sufficient conditions that confirm proposed class systems are given by utilizing an adequate Lyapunov–Krasovskii functional (L-KF). These expressed in form linear matrix inequalities (LMI) which could be solved using solvers LMI Toolbox MATLAB. Two numerical examples to illustrat...