Stabilization by delay feedback control for highly nonlinear switched stochastic systems with non-differentiable delay

IF 3.7 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS
Ying Zhao , Quanxin Zhu
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引用次数: 0

Abstract

The authors consider the stabilization of highly nonlinear switched stochastic systems with non-differentiable delay by delay feedback control. In this paper, switching signals of highly nonlinear switched stochastic systems are non-random which are different from the previous literature. Moreover, the time-varying delay of highly nonlinear switched stochastic systems is non-differentiable, while the time-varying delay of feedback control is constant or differentiable. By using the Lyapunov functional method and the mode-dependent average dwell time approach, we have established the delay-dependent stabilization criteria of highly nonlinear switched stochastic delay systems by delay feedback control. Finally, two numerical examples are provided to show the effectiveness of the developed theoretical results.

通过延迟反馈控制实现具有非可变延迟的高度非线性开关随机系统的稳定
作者考虑通过延迟反馈控制来稳定具有非可变延迟的高度非线性开关随机系统。在本文中,高度非线性开关随机系统的开关信号是非随机的,这与以往的文献不同。此外,高度非线性开关随机系统的时变延迟是不可分的,而反馈控制的时变延迟是恒定或可分的。通过使用李雅普诺夫函数法和与模式相关的平均驻留时间方法,我们建立了高度非线性开关随机延迟系统通过延迟反馈控制的与延迟相关的稳定准则。最后,我们提供了两个数值示例来说明所建立的理论结果的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Nonlinear Analysis-Hybrid Systems
Nonlinear Analysis-Hybrid Systems AUTOMATION & CONTROL SYSTEMS-MATHEMATICS, APPLIED
CiteScore
8.30
自引率
9.50%
发文量
65
审稿时长
>12 weeks
期刊介绍: Nonlinear Analysis: Hybrid Systems welcomes all important research and expository papers in any discipline. Papers that are principally concerned with the theory of hybrid systems should contain significant results indicating relevant applications. Papers that emphasize applications should consist of important real world models and illuminating techniques. Papers that interrelate various aspects of hybrid systems will be most welcome.
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