具有随机参数的 MIMOn 级联非线性系统的稳定性概率计算

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2024-02-26 DOI:10.1093/imamci/dnae005

Bojana M Zlatkovic, Biljana Samardzic

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引用次数: 0

摘要

本文采用稳定性概率估计方法，研究了具有随机参数的多 n 输入和多 n 输出（MIMOn）级联非线性系统的稳定性问题。MIMOn 级联非线性系统，尤其是当输入和输出的数量超过三个（n > 3）时，会表现出一种独特的特性：出现空间超混沌，从而导致系统不稳定。为了实现理想的空间动力学并防止出现空间超混沌，有必要为这些系统选择合适的参数值。此外，最佳参数值能使随机 MIMOn 系统达到最高的稳定性概率。本研究介绍了使用分岔图、Lyapunov 图和空间相位肖像等工具进行稳定性分析的结果，这些工具是通过 MATLAB M 文件生成的，重点是随机 MIMO5 系统（五个输入和五个输出）。

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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Probability of stability calculation of MIMOn cascade non-linear systems with random parameters

The stability problem of Multiple n Inputs and Multiple n Outputs (MIMOn) cascade non-linear systems with random parameters is considered in this paper using the probability of stability estimation method. MIMOn cascade non-linear systems, particularly when the number of inputs and outputs exceeds three (n > 3), exhibit a unique property: the appearance of spatial hyperchaos that can lead to system instability. To achieve desired spatial dynamics and prevent the occurrence of spatial hyperchaos, it is necessary to select the appropriate parameter values for these systems. Moreover, the optimal parameter values enable the attainment of the highest probability of stability for stochastic MIMOn systems. The research presents the results of stability analysis using tools such as bifurcation diagram, Lyapunov diagram and spatial phase portraits, generated through MATLAB M-files, with a specific focus on a stochastic MIMO5 system (five inputs and five outputs).

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来源期刊

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal is to provide an outlet for papers which are original and of high quality in mathematical control theory, systems theory, and applied information sciences. Short papers and mathematical correspondence or technical notes will be welcome, although the primary function of the journal is to publish papers of substantial length and coverage. The emphasis will be upon relevance, originality and clarify of presentation, although timeliness may well be an important feature in acceptable papers. Speculative papers that suggest new avenues for research or potential solutions to unsolved problems of control and information theory will be particularly welcome. Specific application papers will not normally be within the remit of the journal. Applications that illustrate techniques or theories will be acceptable. A prime function of the journal is to encourage the interplay between control and information theory and other mathematical sciences. All submitted papers will be judged on their merits by at least two referees and a full paper report will be available to the intending authors. Submitted articles will in general be published in an issue within six months of submission. Papers should not have previously published, nor should they be undes consideration for publication in another journal. This Journal takes publication ethics very seriously. If misconduct is found or suspected after the manuscript is published, the journal will investigate the matter and this may result in the article subsequently being retracted.