The article addresses the exponential stability analysis for singular switched positive systems(SSPSs) under dwell-time constraints which include mode-dependent minimum dwell time(MDMDT), mode-dependent constant dwell time(MDCDT) and mode-dependent ranged dwell time(MDRDT) constraints. For SSPSs in both delay-free case and time-varying delay case, a sufficient exponential stability condition is proposed with MDMDT, MDCDT and MDRDT constraints, respectively, and the exponential decay rate can be set as a free parameter based on diverse circumstances. To analyze the dwell-time stability, a novel discretized linear copositive Lyapunov function(DLCLF) approach is introduced in the article, and compared with the general copositive and homogeneous Lyapunov function approach, the main advantage of the DLCLF technique is itself affine dependence on conditions of system matrix, which will be extended and utilized to systems with uncertainties or/and time-varying parameters quite easily. Meanwhile, the proposed condition of exponential stability under MDMDT(or MDCDT or MDRDT) constraint will be degenerated into the one under minimum dwell time(or constant dwell time or ranged dwell time) constraint for some specific situations, which implies that the considered MDMDT(or MDCDT or MDRDT) case is more general and practical. Finally, the validity and significance of the results are illustrated by seven examples.

本文讨论了在滞后时间约束下奇异切换正系统（SSPSs）的指数稳定性分析，其中包括依赖于模式的最小驻留时间（MDMDT），依赖于模式的恒定驻留时间（MDCDT）和依赖于模式的远程驻留时间（MDRDT） ）约束。对于无延迟情况和时变延迟情况下的SSPS，分别提出了具有MDMDT，MDCDT和MDRDT约束的充分指数稳定条件，并且可以根据不同情况将指数衰减率设置为自由参数。为了分析停留时间的稳定性，本文介绍了一种新颖的离散线性共正Lyapunov函数（DLCLF）方法，并与一般的共正和齐次Lyapunov函数方法进行了比较，DLCLF技术的主要优点是仿射依赖于系统矩阵的条件，可以很容易地扩展和应用到具有不确定性或/和时变参数的系统。同时，在某些特定情况下，建议的MDMDT（或MDCDT或MDRDT）约束下的指数稳定性条件将退化为最小驻留时间（或恒定驻留时间或远程驻留时间）约束下的指数稳定性条件。 （或MDCDT或MDRDT）案则更为一般和实用。最后，通过七个例子说明了结果的有效性和意义。在某些特定情况下，建议的MDMDT（或MDCDT或MDRDT）约束下的指数稳定性条件将在最小驻留时间（或恒定驻留时间或范围内的驻留时间）约束下退化为一个条件。这意味着考虑了MDMDT（或MDCDT） （或MDRDT）案件更为笼统和实用。最后，通过七个例子说明了结果的有效性和意义。在某些特定情况下，建议的MDMDT（或MDCDT或MDRDT）约束下的指数稳定性条件将在最小驻留时间（或恒定驻留时间或范围内的驻留时间）约束下退化为一个条件。这意味着考虑了MDMDT（或MDCDT） （或MDRDT）案件更为笼统和实用。最后，通过七个例子说明了结果的有效性和意义。