The problems of stability and stabilisation for switched systems with two subsystems are investigated in both nonlinear and linear cases. By proposing an improved average dwell time (ADT) scheme, some new stability conditions for the considered system are given. Those new conditions are more practical in practice than the existing ones with given conditions, and both mode-dependent ADT (MDADT) scheme and classical ADT scheme can be regarded as some special cases of the new scheme of this paper. Finally, a numerical example with comparisons to the previous results is included to show the validity of the developed techniques.

中文翻译：

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由具有平均驻留时间切换的两个子系统组成的切换系统稳定性分析的新方法

在非线性和线性情况下研究了具有两个子系统的切换系统的稳定性和镇定问题。通过提出改进的平均停留时间 (ADT) 方案，给出了所考虑系统的一些新的稳定性条件。这些新条件在实践中比现有的给定条件更实用，模式相关ADT（MDADT）方案和经典ADT方案都可以看作是本文新方案的一些特例。最后，包括一个与先前结果进行比较的数值示例，以显示所开发技术的有效性。