Robust stability of hybrid discrete systems with parameter perturbation
参数摄动混杂离散系统的鲁棒稳定性

With the linear matrix inequality (LMI) method, this paper investigates the robust stability of general linear hybrid discrete systems with parameter perturbation. The sufficient conditions for global robust asymptotic stability are proposed. Based on the multiple Lyapunov functions, the sufficient conditions are presented for local Lyapunov stability of general hybrid discrete systems. By applying the result, the stability problems of the linear hybrid discrete systems can be formulated as the LMI problems. Furthermore, the sufficient conditions are derived for local robust Lyapunov stability of the linear hybrid discrete systems with parameter perturbation.