TAILIEUCHUNG - Linear matrix inequality approach to robust stability of uncertain nonlinear discrete time systems

This paper deals with the problem of asymptotic stability for a class of nonlinear discrete-time systems with time-varying delay. The time-varying delay is assumed to be belong to a given interval, in which the lower bound of delay is not restricted to zero. A linear matrix inequality (LMI) approach to asymptotic stability of the system is presented. Based on constructing improved Lyapunov functionals, delay-depenent criteria for the asymptotic stability of the system are established via linear matrix inequalities. A numerical example is given to show the effectiveness of the result | LINEAR MATRIX INEQUALITY APPROACH TO ROBUST STABILITY OF UNCERTAIN NONLINEAR DISCRETE-TIME SYSTEMS Tran Nguyen Binh∗ Thai Nguyen University of Economics and Business Administration - Thai Nguyen University, Vietnam abstract This paper deals with the problem of asymptotic stability for a class of nonlinear discrete-time systems with time-varying delay. The time-varying delay is assumed to be belong to a given interval, in which the lower bound of delay is not restricted to zero. A linear matrix inequality (LMI) approach to asymptotic stability of the system is presented. Based on constructing improved Lyapunov functionals, delay-depenent criteria for the asymptotic stability of the system are established via linear matrix inequalities. A numerical example is given to show the effectiveness of the result Keywords: 1 Stability, discrete systems, uncertainty, Lyapunov function, linear matrix inequality. Introduction The stability analysis of time-delay uncertain systems is a topic of great practical importance, which has attracted a lot of interest over the decades, . see [1, 5, 6]. Also, system uncertainties arise from many sources such as unavoidable approximation, data errors and aging of systems and so the stability issue of uncertain time-delay systems has been investigated by many researchers [5, 6, 7], where the Lyapunov functional method is certainly used as the main tool. However, the conditions obtained in these papers must be solved upon a grid on the parameter space, which results in testing a finite number of linear matrix inequalities (LMIs). In the case, the result using finite griding points are unreliable and the numerical complexity of the tests grows rapidly. In [5,6], to reduce the conservatism of the stability condition the authors proposed a legitimate Lyapunov functional which employs free weighting matrices. To the best of the authors knowledge, the delay-dependent time delay case for the class of discrete-time nonlinear systems with

Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.