多重時間延遲切換系統廣泛應用於自動控制，例如通訊網路、電力系統、交通系統，都具有多重時間延遲和切換特性。因此，穩定性分析、控制設計和切換策略的開發等都是值得探討的問題。

本文研究引入了一種新的切換準則，可以在多個時間延遲切換大規模系統中實現與時間延遲無關的穩定性。這種切換法則是透過應用一種時間切換的方法推導出來的，而時間切換法則是基於總激活時間比做切換，以保證多時滯切換系統呈現指數穩定性。最後，將使用數學模型進行系統模擬，透過幾個例子來驗證理論模型的有效性。這將有助於我們更好地理解系統在不同條件下的行為，提供此理論的有利驗證。

Multiple time-delay switched systems are widely used in automatic control, such as in communication networks, power systems, and transportation systems. These systems exhibit multiple time delays and switching characteristics. So, stability analysis, control design, and the development of switching strategies are all important issues that are worth exploring.

Research here introduces a novel switching law for delay-independent stability in multiple time-delay switched large-scale systems. This switching law, deduced by employing a time-switched method, while the time-switched law is based on the ratio of total activation time for switching to guarantee that the multiple time-delay switched system exhibits exponential stability. Finally, mathematical models will be employed to simulate the system, and the effectiveness of the theoretical model will be validated through several examples. This will help us gain a better understanding of the system's behavior under different conditions and provide favorable verification of this theory.

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