The problem of data packet dropout and transmission delays induced by communication channel in networked control systems (NCSs) is studied in this paper. We model the continuous-time NCSs with data packet dropout and transmission delays as ordinary linear systems with time-varying input delays. By using the Lyapunov–Razumikhin function techniques, delaydependent condition on the stabilization o...

Nonlinear input-affine systems in quasi-polynomial (QP) and Lotka-Volterra (LV) forms are investigated in this paper. It is shown that both the global stability analysis with an entropy-like Lyapunov function candidate and the local quadratic stability region determination can be performed by solving linear matrix inequalities (LMIs). The invariance transformations preserving the form of the de...

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...

Abstract—This paper investigates the robust stability of uncertain neutral system with time-varying delay. By using Lyapunov method and linear matrix inequality technology, new delay-dependent stability criteria are obtained and formulated in terms of linear matrix inequalities (LMIs), which can be easy to check the robust stability of the considered systems. Numerical examples are given to ind...

In this paper, a new robust stability condition is derived for uncertain discrete-time linear systems with convex polytopic uncertainties. The condition is expressed in terms of a set of linear matrix inequalities (LMIs) involving only the vertices of the polytope domain. It enables us to determine robust stability of uncertain systems easily by solving some LMIs. A rigorous proof is given to s...

In this paper a new approach for the Guaranteed Cost Control Problem (GCCP) is presented, using two efficient tools, Linear Matrix Inequalities (LMIs) and Genetic Algorithms (GAs). A linear system with parametric uncertainty is considered for which a control law is to be found, minimizing a performance index. In a previous paper, an efficient method has been presented by using an LMI optimisati...

* Correspondence: [email protected] Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China Full list of author information is available at the end of the article Abstract In this article, by using the Lagrangian function, we investigate the sufficient global optimality conditions for a class of semi-definite optimization problems, where the objective function are general non...

This paper is concerned with the problem of guaranteed cost controller design control for discrete-time Takagi-Sugeno (T-S) fuzzy systems, and new design methods are presented. By defining a fuzzy Lyapunov function, a new sufficient condition guaranteeing the performance of the T-S fuzzy systems is derived, which can be transferred into problem of minimizing the trace of a matrix. By introducin...

in this study, a robust controller is designed for fuzzy network control systems (ncss) using the static output feedback. delay and data packet dropout affect on the stability of network control systems, and therefore, the asymptotic stability condition is established considering delay and data packet dropout. delay is time-varying while the lower and upper bounds for delay is defined, and the ...

The problems of robust stability for a class of the polytopic-type uncertain singular stochastic systems with time-varying delays are studied. By using a delay decomposition approach and terms of linear matrix inequalities (LMIs), robust stability criteria ensuring globally stochastically asymptotic stability of the polytopic-type uncertain singular stochastic systems with time-varying delays a...