Abstract This paper addresses the dwell-time issues on exponential stability and standard L 1 -gain performance of discrete-time singular switched positive systems with time-varying delays. The dwell-time constraints refer to mode-dependent minimum dwell time(MDMDT), mode-dependent constant dwell time(MDCDT) and mode-dependent ranged dwell time(MDRDT). At first, a sufficient delay-dependent condition of exponential stability for delayed singular switched positive systems under three different kinds of dwell time constraints: MDMDT, MDCDT and MDRDT, is provided, respectively. Then, considering the disturbance attenuation performance, a sufficient condition of standard L 1 -gain performance for delayed SSPSs with dwell-time constraints: MDMDT, MDCDT and MDRDT, is proposed, respectively. Meanwhile, the corresponding dwell-time results of exponential stability and standard L 1 -gain performance for the system in delay-free case is also presented. Four examples are finally presented to show the feasibility and effectiveness of the obtained results.

中文翻译：

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具有时变延迟的离散时间奇异切换正系统的指数稳定性和标准 L1 增益性能的驻留时间条件

摘要 本文解决了具有时变延迟的离散时间奇异切换正系统的指数稳定性和标准L 1 增益性能的驻留时间问题。停留时间约束是指与模式相关的最小停留时间（MDMDT）、与模式相关的恒定停留时间（MDCDT）和与模式相关的范围停留时间（MDRDT）。首先，分别为延迟奇异切换正系统在三种不同类型的驻留时间约束下提供了指数稳定性的充分延迟依赖条件：MDDMDT、MDDCT 和 MDRDT。然后，考虑到干扰衰减性能，分别提出了具有驻留时间约束的延迟SSPS的标准L 1 -增益性能的充分条件：MDDMDT、MDDCT和MDRDT。同时，还给出了系统在无延迟情况下的指数稳定性和标准 L 1 增益性能的相应驻留时间结果。最后给出了四个例子来说明所得结果的可行性和有效性。