The problems of robust stability analysis and synthesis for a class of uncertain switched timedelay systems with polytopic type uncertainties are addressed. Based on the constructive use of an appropriate switched Lyapunov function, sufficient linear matrix inequalities LMIs conditions are investigated to make such systems a uniform quadratic stability with an L2-gain smaller than a given const...

This paper deals with the problems of stability analysis and control designs for a class of delay-dependent nonlinear systems with input constraint when using T-S fuzzy model in consideration of the uncertainties in the system. As a result, it arrives at two kinds of feedback controllers in terms of linear matrix inequalities (LMIs), in which the latter tries to use less information about the d...

This paper deals with the problem of passivity analysis for stochastic neural networks with leakage, discrete and distributed delays. By using delay partitioning technique, free weighting matrix method and stochastic analysis technique, several sufficient conditions for the passivity of the addressed neural networks are established in terms of linear matrix inequalities (LMIs), in which both th...

This paper provides new dilated linear matrix inequalities (LMIs) characterizations for the finite time boundedness (FTB) and the finite time stability (FTS) analysis of discrete-time uncertain linear systems. The dilated LMIs are later used to design a robust controller for the finite time control of discrete-time uncertain linear systems. The relevant feature of the proposed approach is the d...

This paper investigate the stabilizability of 2-D linear discrete-time systems described by the Roesser model with closed-loop positivity. Necessary and sufficient condition for the existence of desired state-feedback controllers guaranteeing the resultant closed-loop system to be asymptotically stable and positive is obtained. The synthesis of state-feedback controllers, including the requirem...

Nonlinear systems with time-varying uncertainties with known norm bound and exogenous disturbances are investigated in this work. Conditions for the determination of the H∞ norm of this class of systems are obtained in the form of a convex optimization problem in terms of LMIs. It is also proposed a H∞ optimal control design that aims to stabilize a class of nonlinear systems with time-varying ...

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...