Wang Zhichuang, He Wei, Wang Gang, Sun Jian
IEEE Trans Cybern. 2024 Oct;54(10):5963-5972. doi: 10.1109/TCYB.2024.3413535. Epub 2024 Oct 9.
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.
本文研究了具有多个时变延迟（MTVDs）和异步切换的切换非线性中立系统（SNNSs）的输入到状态稳定性和积分输入到状态稳定性。鉴于控制器和子系统的切换信号不一致，通过多个Lyapunov-Krasovskii泛函、合并切换信号和依赖模式的平均驻留时间技术，给出了具有MTVDs和异步切换现象的SNNSs在输入到状态稳定性和积分输入到状态稳定性特性方面的新的稳定性判据。与现有的相关工作相比，我们的结果保守性更低。同时，我们提出的工作不仅研究了切换和中立项对SNNSs稳定性特性的影响，还研究了具有MTVDs和异步切换的系统情况。最后，给出了两个实际例子，包括实际的耦合质量-弹簧-阻尼器-摆系统，以展示我们结果的有效性。
