多时滞奇异摄动不确定离散系统的稳定性分析  

Stability Analysis of Uncertain Discrete Systems with Multiple Time Delays and Singular Perturbations

作　　者：王红运 张晓晗 王洪里 WANG Hong-yun;ZHANG Xiao-han;WANG Hong-li(College of Mathematics,Jilin Normal University,Changchun 130000,China)

机构地区：[1]吉林师范大学数学学院,长春130000

出　　处：《白城师范学院学报》2022年第2期24-27,共4页Journal of Baicheng Normal University

基　　金：国家自然科学基金项目(61741318)。

摘　　要：离散系统普遍存在于实际问题中.要使该系统在控制上达到精准,应该考虑时滞问题,从而能减少该系统产生的震荡.文章通过构造新的Lyapunov函数,采用引理以及新的差分不等式等交叉项界定技术,推出奇异摄动离散系统在多时滞情形下新的保守性更小的稳定性存在条件.Discrete systems are ubiquitous in practical problems. To make the system precise in control,time delay should be considered,so as to reduce the oscillations generated by the system. This article constructs new Lyapunov functions,adopts lemmas and new differential inequalities and other cross-term delimitation techniques,introduced new and less conservative stability conditions for singularly perturbed discrete systems in the case of multiple time delays.

关 键 词：离散系统 稳定性 LYAPUNOV函数 不确定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]