In this paper, the problem of delay-dependent robust absolute stability of uncertain multiple time-delayed Lur'e systems with sector-bounded nonlinearity is investigated. The nonlinearity is assumed to be both time-invariant and time-varying. Based on the Lyapunov-Krasovskii stability theory and matrix decomposition method, some delay-dependent sufficient conditions for the robust absolute stab...

in this paper, a new t-s fuzzy hyperbolic delay model for a class of nonlinear systems with time-varying delay, is presented to address the problems of stability analysis and feedback control. fuzzy controller is designed based on the parallel distributed compensation (pdc), and with a new lyapunov function, delay dependent asymptotic stability conditions of the closed-loop system are derived v...

In this paper‎, ‎a synthesis method based on robust model predictive control is developed for compensation of uncertain time-delays in networked control systems with bounded disturbance‎. ‎The proposed method uses linear matrix inequalities and uncertainty polytope to model uncertain time-delays and system disturbances‎. ‎The continuous system with time-delay is discretized using uncertainty po...

This article is concerned with the in-domain stabilization of a class block diagonal infinite-dimensional systems in presence an uncertain and time-varying delay distributed control input. Two actuation schemes are considered. The first one assumes input that fully over domain. second finite-dimensional, acting domain via bounded operator. In both cases, design strategy consists predictor feedb...

This brief deals with the asymptotic stability of a class of linear time-invariant systems subject to point constant uncommensurate delays. Results are obtained dependent on and independent of the delays which may be tested be performing a finite set of 1-D Routh–Hurwitz tests on a corresponding set of auxiliary delay-free linear time-invariant systems plus some supplementary conditions related...

Abstract: This paper considers the problemof persistent bounded disturbance rejection for a class of time-delay systems with parametric uncertainty by Lyapunov function and positively invariant set analysis method. Sufficient conditions for internal stability and L1−performance analysis are given in terms of linear matrix inequalities (LMIs). Based on the results, a simple approach to the desig...