Abstract This paper investigates the input-to-state stability (ISS) for discrete-time switched nonlinear system (DTSNS) with generalized switching signals, which contains some subsystems that are not input-to-state stable (non-ISS). Sufficient conditions are proposed to guarantee the ISS of the considered DTSNS, provided that the switching is not too fast and the activation time of non-ISS subsystems is comparatively short. Some improvements are made when comparing with the existing related results, which is illustrated by a numerical example.

中文翻译：

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具有广义开关信号的离散时间开关非线性系统的输入状态稳定性

摘要 本文研究了具有广义切换信号的离散时间切换非线性系统 (DTSNS) 的输入到状态稳定性 (ISS)，其中包含一些输入到状态不稳定 (non-ISS) 的子系统。提出了足够的条件来保证所考虑的DTSNS的ISS，前提是切换不太快并且非ISS子系统的激活时间相对较短。与已有的相关结果进行了比较，进行了一些改进，并通过数值例子加以说明。