区间时变时滞离散广义系统的稳定与镇定

研究了一类区间时变时滞离散广义系统的稳定与镇定问题。利用一个新构造的Lyapunov泛函和线性矩阵不等式方法，给出了使得系统正则、因果且稳定的时滞相关型稳定性新判据，并在其基础上得到了系统状态反馈镇定控制律的一个直接的设计方法。在讨论过程中，充分考虑了系统时变时滞信息，且保留了Lyapunov泛函导数中的有用项，使得结果具有较小保守性。数值实例表明了方法的有效性和优越性。

Stability and Stabilization for Discrete Singular Systems with Interval Time-varying Delay

The stability and stabilization for discrete singular systems with interval time-varying delay are discussed. By using a new constructed Lyapunov functional and linear matrix inequality （LMI） approach, a new improved delay-dependent stability criteria is presented to ensure the systems to be regular, causal and stable. Based on obtained stability criteria, an explicit expression for the desired state feedback stabilization controller is also given. The obtained results are less conservative, because the technique used in this paper makes more use of the information on the involved time-varying delay and retains useful terms in the derivative of Lyapunov functional. Numerical examples are given to illustrate the effectiveness and the benefits of the proposed methods.