Stability and $l_2$ -Gain Analysis of Discrete-Time Switched Systems with Mode-Dependent Average Dwell Time
针对离散时间切换系统，提出一种新的多重不连续Lyapunov函数方法，分析其稳定性和加权l2增益，并给出线性系统的相应结果，仿真验证了方法的有效性。
In this paper, the problems of stability and l <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -gain analysis are investigated for discrete-time switched systems with mode-dependent average dwell time (DT). By proposing a novel multiple discontinuous Lyapunov function (MDLF) approach, the conditions of stability and weighted l <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> -gain are established for nonlinear systems. Next, the corresponding results for linear switched systems are also proposed by using MDLF. It turns out that our proposed results provide smaller bounds on the DT. Some simulation results are given to show the validity of our approaches.