非线性离散时变系统族的鲁棒稳定性

The Robust Stability of a Family of Nonlinear Discrete Time-Varying Systems

研究了非线性离散时变系统接的平衡点的几种Lyapunov稳定性，利用其系统族的ES（extremesystems）建立了系统族的平衡点的鲁棒一致稳定性、鲁律一致渐近稳定性和鲁棒指数稳定性的充分条件。其结果涵盖并推广了许多已知的稳定性定理。

Several types of Lyapunov stability of an equilibrium point of a family of nonlinear discrete time- varying systems are investigated. By utilizing the extreme systems of the family of systems, the sufficient conditions for the robust uniform stability, the robust uniform asymptotic stability and the ro bust exponential stability of the equilibrium point of the family of systems are established. The results imply and generalized many known stability theorems.