控制理论与应用2016，Vol.33Issue(10)：1399-1404,6.DOI:10.7641/CTA.2016.50818
变周期采样系统指数稳定的新条件
New conditions for exponential stability of sampled-data systems under aperiodic sampling
摘要
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.关键词
采样系统/指数稳定/类Lyapunov泛函/线性矩阵不等式Key words
sampled-data systems/exponential stability/Lyapunov-like functional/linear matrix inequalities分类
信息技术与安全科学引用本文复制引用
张丹,邵汉永,赵建荣..变周期采样系统指数稳定的新条件[J].控制理论与应用,2016,33(10):1399-1404,6.基金项目
国家自然科学基金项目(61374090),山东省高等院校科研创新团队项目,山东省泰山学者人才工程项目 （61374090）
