摘要
在现有研究成果的基础上,针对一类线性网络控制系统稳定性问题,做出进一步分析和改进。通过构造Lyapunov-Krasovskii泛函,加入增广矩阵,充分地利用时滞信息,同时使用Wirtinger不等式及Jensen不等式分别处理在Lyapunov-Krasovskii泛函求导过程中产生的积分项,获得具有较小保守性的稳定性准则,且所需决策变量数较少。并通过数例验证了该准则的有效性。
Based on the existing research results,the stability of a class of linear networked control systems is further analyzed and improved.The Lyapunov-Krasovskii functional is introduced into an augmented matrix,and the delay information is fully utilized.Meanwhile,the integral terms from the derivation of Lyapunov-Krasovskii functional are dealt with by Wirtinger inequality and Jensen inequality.The stability criterion with less conservatism is obtained.Less decision variables are needed.The criterion is verified by the given examples.
作者
吴金晶
姜偕富
王芳
李严鹏
WU Jinjing;JIANG Xiefu;WANG Fang;LI Yanpeng(School of Automation,Hangzhou Dianzi Unicersity,Hangzhou Zhejiang 310018,China)
出处
《杭州电子科技大学学报（自然科学版）》
2019年第3期37-41,47,共6页
Journal of Hangzhou Dianzi University：Natural Sciences
基金
国家自然科学基金资助项目(61673148)
浙江省自然科学基金重点资助项目(LZ13F030001)
