This paper address the problems of robust stability for uncertain discrete-time switched systems. The uncertainty is assumed to be of structured linear fractional from which includes the norm-bounded uncertainty as a special case. By introducing a novel difference inequality, new delay-dependent stability criteria are formulated in terms of linear matrix inequalities(LMIs) which are not contain...

Abstract— This paper addresses the H2 output-feedback control of Markov Jump Linear Systems (MJLS) in continuoustime through Linear Matrix Inequalities (LMIs). We derive new sufficient LMI conditions for the case with completely known transition rates which are affine with respect to these parameters. Then, we treat the case where transition rates are considered uncertain, but belong to a given...

Abstract: In this paper, the delay-dependent H∞ control problem is considered for Linear Parameter-Varying (LPV) systems with time-varying delays. By using a descriptor model transformation of the system and by applying Park’s inequality for bounding cross terms, some sufficient conditions onH∞ performance analysis are given in terms of Linear Matrix Inequalities (LMIs). Based on these conditio...

In this paper, we combine a descriptor approach to stability and control of linear systems with time-varying delays, which is based on the Lyapunov Krasovskii techniques, with a recent result on sliding mode control of such systems. The systems under consideration have norm-bounded uncertainties and uncertain bounded delays. The solution is given in terms of linear matrix inequalities (LMIs) an...

This paper concerns the use of the finite signalto-noise (FSN) model to design a state estimator. First, the sufficient conditions for the existence of the state estimator are provided. These conditions are expressed in terms of linear matrix inequalities (LMIs) and the parametrization of all the solutions is provided. Then an LMI based estimator design is addressed and the algorithm to solve t...

Drawing inspiration from the theory of linear “decomposable systems”, we provide a method, based on linear matrix inequalities (LMIs), which makes it possible to prove the convergence (or consensus) of a set of interacting agents with polynomial dynamic. We also show that the use of a generalised version of the famous Kalman-Yakubovic-Popov lemma allows the development of an LMI test whose size...

This paper investigates the problem of robust finite-time H∞ filter design for Itô stochastic systems. Based on linear matrix inequalities (LMIS) techniques and stability theory of stochastic differential equations, stochastic Lyapunov function method is adopted to design a finite-time H∞ filter such that, for all admissible uncertainties, the filtering error system is stochastic finite-time st...

The problem of delay-range-dependent stability analysis for linear systems with distributed time-varying delays and nonlinear perturbations is studied without using the model transformation delay-decomposition approach. less conservative criteria are obtained by constructing a new augmented Lyapunov–Krasovskii functional various inequalities, which presented in terms matrix inequalities (LMIs)....

Abstract—This paper investigates the problem of absolute stability and robust stability of a class of Lur’e systems with neutral type and time-varying delays. By using Lyapunov direct method and linear matrix inequality technique, new delay-dependent stability criteria are obtained and formulated in terms of linear matrix inequalities (LMIs) which are easy to check the stability of the consider...

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...