数学
理论(学习稳定性)
稳定性判据
财产(哲学)
线性矩阵不等式
控制理论(社会学)
李雅普诺夫函数
应用数学
稳定性条件
数学优化
计算机科学
非线性系统
离散时间和连续时间
控制(管理)
统计
机器学习
物理
哲学
认识论
人工智能
量子力学
作者
Lianglin Xiong,Jun Cheng,Jinde Cao,Zixin Liu
标识
DOI:10.1016/j.amc.2017.11.020
摘要
In this paper, the stability of the system with two additive time-varying delay components is studied and improved stability condition is obtained. It firstly establishes two novel integral inequalities, which are better than the same type inequalities found in the literature. Secondly, a new constructed Lyapunov functional is constructed based on the additive time-varying delays property. Following two steps to handle the Lyapunov functional, the delay-dependent stability condition is obtained which in terms of linear matrix inequalities. Finally, two numerical examples are given to verify the effectiveness of the proposed method and the superiority of the results.
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