The stability problem for positive switched systems with two subsystems is investigated with an improved mode-dependent average dwell time (MDADT) scheme. By utilizing system positivity and the new scheme, the stability conditions of the considered system are addressed. The proposed switching law is more applicable in practice than the average dwell time (ADT) and MDADT schemes with certain conditions, and those existing methods can be regarded as some special cases of the theoretical findings in the paper. Then, the new stability criteria are extended to non-autonomous systems. Finally, two simulation examples with some comparisons to the classical results are given to illustrate the advantages of our obtained results.

具有改进的模式相关平均停留时间（MDADT）方案，研究了具有两个子系统的正切换系统的稳定性问题。通过利用系统的积极性和新方案，解决了所考虑系统的稳定性条件。所提出的切换定律比在一定条件下的平均停留时间（ADT）和MDADT方案在实践中更适用，并且这些现有方法可以视为本文理论研究的一些特殊情况。然后，新的稳定性标准扩展到非自治系统。最后，给出了两个与经典结果进行比较的仿真示例，以说明我们获得的结果的优势。