基于改进Jensen不等式的中立型时滞系统稳定性判据  

Stability Criteria for Neutral Time-Delay Systems Based on Improved Jensen Inequality

作　　者：杨明明 邵荃[1] 丁啸 YANG Mingming;SHAO Quan;DING Xiao(College of Civil Aviation,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;The General Bank of Shanghai Rural Commercial Bank,Shanghai 201210,China)

机构地区：[1]南京航空航天大学民航学院,南京210016 [2]上海农村商业银行总行,上海201210

出　　处：《河南科学》2021年第7期1033-1038,共6页Henan Science

基　　金：国家重点研发计划项目资助(2018YFC0809500);国家自然科学基金项目资助(71573122,71873081);江苏省青蓝工程项目资助(2020);南京航空航天大学研究生创新基地开放基金项目资助(kfjj20190722)。

摘　　要：基于积分区间可加性原理对连续Jensen不等式进行分段及放缩处理,利用二次型的展开式推广成为保守性更低的Wirtinger型积分不等式.再基于Lyapunov-Krasovskii稳定性理论构造新的Lyapunov泛函,结合其导数、Wirtinger型积分不等式及自由权矩阵,提出了基于线性矩阵不等式形式的中立型时滞系统渐近稳定性的低保守性新判据.Based on the principle of integral interval additivity,the continuous Jensen inequality is segmented and scaled.By the expansion of quadratic form,it is extended to Wirtinger type integral inequality with lower conservatism.Then,based on Lyapunov-Krasovskii stability theory,a new Lyapunov functional is constructed combining its derivative,Wirtinger type integral inequality and free weight matrix,and a new low-conservatism criterion for the asymptotic stability of neutral time-delay systems based on LMI is proposed by combining its derivative,Wirtinger type integral inequality and free weight matrix.

关 键 词：中立型时滞系统 稳定性 JENSEN不等式 LYAPUNOV泛函 线性矩阵不等式 

分 类 号：O155[理学—数学] TP13[理学—基础数学]