用一致稳定函数法研究脉冲随机时滞系统的Razumikhin和Krasovskii稳定性

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2023-10-27 DOI:10.15388/namc.2023.28.33475

Lijun Pan, Jianqiang Hu, Jinde Cao

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引用次数: 0

摘要

推广了脉冲随机时滞系统的razumikhin型定理和Krasovskii稳定性定理。通过提出脉冲形式的一致稳定函数(USF)作为一种新的工具，得到了一致稳定函数的一些性质和一些新的p阶矩衰减定理。基于这些新定理，分别用Razumikhin方法和Krasovskii方法得到了脉冲随机线性延迟系统的稳定性定理。通过与以往结果的比较，所得结果增强了脉冲增益的弹性。最后通过数值算例验证了理论结果的有效性。

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Razumikhin and Krasovskii stability of impulsive stochastic delay systems via uniformly stable function method

This paper generalizes Razumikhin-type theorem and Krasovskii stability theorem of impulsive stochastic delay systems. By proposing uniformly stable function (USF) in the form of impulse as a new tool, some properties about USF and some novel pth moment decay theorems are derived. Based on these new theorems, the stability theorems of impulsive stochastic linear delay system are acquired via the Razumikhin method and the Krasovskii method. The obtained results enhance the elasticity of the impulsive gain by comparing the previous results. Finally, numerical examples are given to demonstrate the effectiveness of theoretical results.

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.