Abstract In this paper, the issue of asynchronous l 1 control is discussed for a class of two-dimensional (2D) switched positive systems with polytopic uncertain parameters and impulses. By choosing a suitable co-positive Lyapunov function and utilizing the mode-dependent average dwell time technique, sufficient conditions can be derived under which the closed-loop system induced by a set of asynchronous state feedback controllers is positive, exponentially stable and has l 1 disturbance attenuation performance. In addition, the design schemes for the asynchronously switched controllers are also provided in detail. Finally, two examples are provided to demonstrate the accuracy and tractability of the approach outlined in this paper.

中文翻译：

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具有参数不确定性和脉冲的二维切换正系统的异步 l1 控制

摘要 本文讨论了一类具有多面不确定参数和脉冲的二维（2D）切换正系统的异步l 1 控制问题。通过选择合适的协正李雅普诺夫函数并利用模态相关平均驻留时间技术，可以推导出由一组异步状态​​反馈控制器引起的闭环系统是正的、指数稳定的并且具有 l 1 的充分条件扰动衰减性能。此外，还详细提供了异步切换控制器的设计方案。最后，提供了两个例子来证明本文概述的方法的准确性和易处理性。