This paper focuses on finite-time boundedness (FTB) of a class of switched non-linear neutral systems in the presence of multiple disturbances. Based on Lyapunov analysis, Finsler’s lemma and the average dwell-time concept, sufficient conditions are extracted to guarantee the FTB of the system. Using these sufficient conditions, finite-time |${H}_{\infty }$| controllers are designed via state feedback and static output feedback structures. The proposed controllers are less conservative than the existing Lyapunov-based approach and there are many degrees of freedom to achieve feasible linear matrix inequalities. Finally, two examples are simulated to validate the proposed approach and to show that the obtained theoretical results are less conservative than the existing papers.

中文翻译：

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鲁棒有限时间ħ _∞切换非线性中性系统的在使用辅助矩阵的多个扰动的存在控制

本文着重研究存在多个扰动的一类切换非线性中立系统的有限时间有界性（FTB）。基于Lyapunov分析，Finsler引理和平均停留时间概念，提取了足够的条件来保证系统的FTB。使用这些足够的条件，有限时间| $ {H} _ {\ infty} $ | 通过状态反馈和静态输出反馈结构来设计控制器。所提出的控制器不如现有的基于Lyapunov的方法保守，并且有许多自由度可实现可行的线性矩阵不等式。最后，通过两个例子进行仿真，以验证所提出的方法并表明所获得的理论结果不如现有论文保守。