Novel Stability Criteria of Asynchronously Switched Nonlinear Neutral Time-Delay Systems
研究了具有多重时变时滞和异步切换的切换非线性中立型系统的输入-状态稳定性和积分输入-状态稳定性，提出了基于多Lyapunov-Krasovskii泛函和模式依赖平均驻留时间的新判据，并通过耦合质量-弹簧-阻尼-摆系统等实例验证了有效性。
This article investigates the input-to-state stability and integral input-to-state stability for the switched nonlinear neutral systems (SNNSs) with multiple time-varying delays (MTVDs) and asynchronous switching. According to the fact that the switching signals of the controllers and the subsystems are inconsistent, novel stability criteria on the input-to-state stability and integral input-to-state stability properties for SNNSs with MTVDs and the asynchronous switching phenomenon are presented by multiple Lyapunov-Krasovskii functionals, the merging switching signal, and the mode-dependent average dwell time technique. Compared with the existing related works, our results are less conservative. Meanwhile, our proposed works not only investigate the effects of switches and neutral terms on the stability property for SNNSs but also study the case of the systems with MTVDs and asynchronous switching. Finally, two practical examples, including the practical coupled mass-spring-damper-pendulum system, are presented to show the effectiveness of our results.