This contribution considers the guaranteed cost control for a class of linear uncertain time-delay switched singular systems under arbitrary switching laws with a given quadratic performance index. Based on a Lyapunov function approach and a linear matrix inequality (LMI) technique, a sufficient condition on the existence of guaranteed cost state feedback controllers is derived, which ensures t...

Abstract—In this paper, the problem of stability and stabilization for neutral delay-differential systems with infinite delay is investigated. Using Lyapunov method, new delay-independent sufficient condition for the stability of neutral systems with infinite delay is obtained in terms of linear matrix inequality (LMI). Memory-less state feedback controllers are then designed for the stabilizat...

Utilizing the Lyapunov functional method and combining linear matrix inequality (LMI) techniques and integral inequality approach (IIA) to analyze the global asymptotic stability for delayed neural networks (DNNs),a new sufficient criterion ensuring the global stability of DNNs is obtained.The criteria are formulated in terms of a set of linear matrix inequalities,which can be checked efficient...

In this study, an unknown input observer (UIO) is developed in explicit form to estimate unmeasurable states and inputs (UIs) for nonlinear implicit systems represented by the discrete-time Takagi-Sugeno (DTSIS) case of premise variables. The method employed based on singular value decomposition (SVD) augmenting state vector, which formed partly system UIs. convergence augmented estimation erro...

This paper studies the problems of H∞ output tracking performance analysis and controller design for networked control systems (NCSs) with time delay and packet dropout. By defining new Lyapunov function and using the discrete Jensen inequality, linear matrix inequality (LMI)-based H∞ output tracking performance analysis and controller design are presented. The adoption of the discrete Jensen i...

In this paper, a systematic approach is presented for more relaxed stability analysis conditions and fuzzy controller design for Takagi-Sugeno systems in the form of LMIs. This approach is based on the idea of non-quadratic Lyapunov function and one assumption. In this paper, the upper bounds of the time derivative of membership functions are considered as LMI variables which lead to more relax...

The problem of robust stability and robust stabilization for a class of discrete-time uncertain systems with time delay is investigated. Based on Tchebychev inequality, by constructing a new augmented Lyapunov function, some improved sufficient conditions ensuring exponential stability and stabilization are established. These conditions are expressed in the forms of linear matrix inequalities (...

The dynamic output feedback robust H-infinity control problem is investigated for switched linear systems with exponential uncertainties in this note. Aiming at the effect of exponential uncertainties, we firstly treats the uncertain exponential terms as polynomial uncertainty with an additive norm bounded uncertainty based on Taylor series approximation and convex polytopic technique. Secondly...

In this paper, a filter design scheme is proposed for Lipschitz nonlinear systems with delays. It is assumed that the measurements are transmitted through a communication network and therefore reach the filter with an uncertain delay. The design methodology is formulated as an optimization problem with LMI constraints, which are derived using a less conservative Lyapunov-Krasovskii function and...

In this paper, we consider a robust dynamic output feedback model predictive controller (MPC) design for linear parameter varying (LPV) systems. According to the proposed MPC algorithm, the control law is computed based on linear matrix inequality (LMI) at each sampling time by solving convex optimization problem. Also, a new parameter-dependent Lyapunov function is proposed to get a less conse...