东南大学学报（英文版）Issue(3)：302-305,4.DOI:10.3969/j.issn.1003-7985.2014.03.008
基于参数依赖齐次多项式的时变系统稳定性分析
Stability analysis of time-varying systems via parameter-dependent homogeneous Lyapunov functions
摘要
Abstract
This paper considers the stability analysis of linear continuous-time systems and that the dynamic matrices are affected by uncertain time-varying parameters which are assumed to be bounded continuously differentiable with bounded rates of variation. First sufficient conditions of stability for time-varying systems are given by the commonly used parameter-dependent quadratic Lyapunov function. Moreover the use of homogeneous polynomial Lyapunov functions for the stability analysis of the linear system subject to the time-varying parametric uncertainty is introduced. Sufficient conditions to determine the sought after Lyapunov function is derived via a suitable paramenterization of polynomial homogeneous forms. A numerical example is given to illustrate that the stability conditions are less conservative than similar tests in the literature.关键词
线性时变系统/多面体不确定性/鲁棒稳定性/线性不等式Key words
linear time-varying/systems/polytopic uncertainty/robust stability/linear matrix inequality分类
信息技术与安全科学引用本文复制引用
张化生,张侃健..基于参数依赖齐次多项式的时变系统稳定性分析[J].东南大学学报（英文版）,2014,(3):302-305,4.基金项目
The Major Program of National Natural Science Foundation of China No．11190015 the National Natural Science Foundation of China No．61374006． （）
