In this paper, asymptotic stability for neutral delay–differential systems with mixed multiple time-varying delay arguments is investigated. Based on the Lyapunov method, two new stability criteria in terms of linear matrix inequalities (LMIs) are presented to guarantee the stability for the systems. The LMIs can be easily solved by various convex optimization algorithms. Three numerical exampl...

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...

This paper deals with the asymptotic stability of neutral systems with mixed time-varying delays and nonlinear perturbations. Based on the Lyapunov–Krasovskii functional including the triple integral terms and free weighting matrices approach, a novel delay-decomposition stability criterion is obtained. The main idea of the proposed method is to divide each delay interval into two equal segment...

In this paper, a class of uncertain linear polytopic systems with distributed time varying delays is studied. By using an improved parameter dependent Lyapunov-Krasovskii functional approach and linear matrix inequality technique, delay-dependent sufficient conditions for exponential stability of the system are first established in terms of MondieKharitonov type’s linear matrix inequalities (LM...

Solutions to the optimal H , and L2 L, unbiased reduced-order filtering problems are obtained in terms of Linear Matrix Inequalities (LMIs). The order of the optimal filter is equal to the number of measurements. Both continuous-time and discrete-time results are presented. An explicit parametrization of all optimal unbiased filters is provided in terms of a free contractive matrix.

A wide variety of problems in control system theory fall within the class of parameterized Linear Matrix Inequalities (LMIs), that is, LMIs whose coecients are functions of a parameter conned to a compact set. However, in contrast to LMIs, param-eterized LMI (PLMIs) feasibility problems involve innitely many LMIs hence are very hard to solve. In this paper, we propose several eective relaxation...

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...

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...

The design of an observer-based state feedback (OBSF) controller with guaranteed passivity properties for port-Hamiltonian systems (PHS) is addressed using linear matrix inequalities (LMIs). observer gain freely chosen and the LMIs conditions such that equivalent to control by interconnection input strictly passive (ISP) and/or output (OSP) zero detectable (ZSD) are established. It shown propos...

This note presents a stability analysis method for piecewise discrete-time linear systems based on a piecewise smooth Lyapunov function. It is shown that the stability of the system can be established if a piecewise Lyapunov function can be constructed and, moreover, the function can be obtained by solving a set of linear matrix inequalities (LMIs) that is numerically feasible with commercially...