New conditions for exponential stability of sampled-data systems under aperiodic sampling
ZHANG Dan
SHAO Han-yong
ZHAO Jian-rong
Abstract：This article is concerned with the exponential stability problem of linear sampled-data systems under aperiod-ic sampling. Based on discrete-time Lyapunov theorem, a new Lyaponov-like functional is constructed with the following features. It explicitly depends on time t, contains the integral quadratic term of the states, and is not required to be positive definite between sampling instants. Based on this new Lyapunov-like functional, a new theorem is proposed in this paper to study the exponential stability of a class of nonlinear sampled-data systems firstly. And then new conditions for the lin-ear sampled-data systems under aperiodic sampling to be exponentially and asymptotically stable are given respectively in terms of linear matrix inequalities by taking advantages of the new theorem and the improved Wirtinger integral inequality. Examples are provided to illustrate that the stability conditions have less conservatism compared with some existing ones.
Keywords：sampled-data systemsexponential stabilityLyapunov-like functionallinear matrix inequalities
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 1399-1404 )