Input-to-state stability of discrete-time switched nonlinear systems with generalized switching signals

作者：

Highlights：

• The input-to-state stability (ISS) for discrete-time switched nonlinear system (DTSNS) containing non-ISS subsystems is investigated.

• The switching signal is characterized by the edge-dependent average dwell time (EDADT), which presents a generalization of mode-dependent average dwell time (MDADT) and can further relax the constraints on switching signals.

• 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.

• The obtained result includes a new less restrictively asymptotical stability condition as a special case for DTSNS with both stable and unstable subsystems when inputs are not considered.

摘要

•The input-to-state stability (ISS) for discrete-time switched nonlinear system (DTSNS) containing non-ISS subsystems is investigated.•The switching signal is characterized by the edge-dependent average dwell time (EDADT), which presents a generalization of mode-dependent average dwell time (MDADT) and can further relax the constraints on switching signals.•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.•The obtained result includes a new less restrictively asymptotical stability condition as a special case for DTSNS with both stable and unstable subsystems when inputs are not considered.

论文关键词：Discrete-time switched nonlinear system (DTSNS),Input-to-state stability (ISS),Generalized switching signals

论文评审过程：Received 18 June 2020, Revised 3 September 2020, Accepted 4 October 2020, Available online 19 October 2020, Version of Record 19 October 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125727