深圳大学学报（理工版）2017，Vol.34Issue(2)：181-187,7.DOI:10.3724/SP.J.1249.2017.02181
改进Lyapunov泛函下变时滞系统稳定性分析
Stability analysis of time-varying delaysystem based on an improved Lyapunov function
摘要
Abstract
We provide a new delay-range-dependent criterion for interval time-varying delay linear systems.By using Jensen inequality method and reciprocally convex combination technique,the upper bound of the derivative of our improved Lyapunov function can be estimated more tightly.And then newless conservative stability criteria are derived.Numerical examples are given to illustrate the effectiveness and the improvementof the proposed criterion.关键词
区间变时滞/倒数凸组合/线性矩阵不等式/稳定性判据/改进Lyapunov泛函/Jensen积分Key words
interval time-varying delay/reciprocally convex combination/linear matrix inequality/stability criteria/Lyapunov improved functional/Jensen integration分类
信息技术与安全科学引用本文复制引用
王新伟,张颖,戎玉密..改进Lyapunov泛函下变时滞系统稳定性分析[J].深圳大学学报（理工版）,2017,34(2):181-187,7.基金项目
National Natural Science Foundation of China (61603111) （61603111）
Special Research Fund of Doctoral Course of Higher Education (20122302120069) （20122302120069）
Shenzhen Science and Technology Basic Research Foundation (JCYJ2012061313212389)国家自然科学基金资助项目(61603111) （JCYJ2012061313212389）
高等学校博士学科点专项科研基金资助项目(20122302120069) （20122302120069）
深圳市科技基础研究计划资助项目(JCYJ2012061313212389) （JCYJ2012061313212389）
