摘要
研究了时变时延离散网络系统的稳定性问题.采用一个充分利用系统状态相关变量的Lyapunov泛函,应用牛顿-莱布尼茨公式并引入了松散变量技术,获得了新的基于线性矩阵不等式(LMI)的稳定性条件.此稳定性条件描述了网络状态相关变量之间的联系,且具有较小的保守性.仿真算例表明了所提出的方法的有效性.
The problem of stability for discrete-time networked control systems with time-varying delay was studied.By using Lyapunov functional approach,which take full advantages of state related variables,applying Newton-Leibniz formula and introducing loose variables technology,the sufficient conditions for stability analysis in term of linear matrix inequalities(LMI)were given.The results of stability analysis for the systems descript the relationship of system state related variables and it is less conservative than the existing results.A numerical example was also presented to illustrate the effectiveness of the developed method.
出处
《沈阳大学学报(自然科学版)》
CAS
2015年第4期301-305,共5页
Journal of Shenyang University:Natural Science
基金
国家自然科学基金资助项目(61104106)
辽宁省教育厅资助项目(L2014480)
关键词
时变时延
离散网络系统
LMI
time-varying delay
discrete-time networked control system
linear matrix inequalities(LMI)