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

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.