This paper investigates the pole assignment stabilization with memory state feedback controllers for switched nonlinear time-varying delay systems. More general time-varying delays which depend on the subsystem number are considered. Based on novel common Lyapunov functions (CLFs), the aggregation techniques, the proprieties and the Borne–Gentina criterion, new algebraic stabilization criteria are established. The proposed design can guarantee the stability of the closed-loop systems under arbitrary switching. It allows to avoid researching a common Lyapunov function (CLF), considered a difficult matter. Four illustrate examples were finally utilized to exhibit the effectiveness of the obtained results.

本文研究了带有记忆状态反馈控制器的开关非线性时变时滞系统的极点分配镇定。考虑了取决于子系统编号的更一般的时变延迟。基于新颖的通用Lyapunov函数（CLF），聚合技术，专有性和Borne-Gentina准则，建立了新的代数稳定准则。所提出的设计可以保证在任意切换下闭环系统的稳定性。它可以避免研究被认为很困难的通用Lyapunov函数（CLF）。最后利用四个例子说明了所获得结果的有效性。