一类时滞偏泛函微分方程的多项式稳定性和弱镇定性

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS IMA Journal of Mathematical Control and Information Pub Date : 2023-03-18 DOI:10.1093/imamci/dnad004

Soufiane Boumasmoud, K. Ezzinbi

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引用次数: 0

摘要

研究了实数Hilbert空间中一类时滞演化方程的反馈镇定问题。利用可观测型不等式和时滞控制，给出了保证系统强稳定和弱稳定的充分条件。对于强镇定性，成功地建立了收敛速度。考虑了数值模拟的各种应用。

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Polynomial stability and weak stabilization for some partial functional differential equations with delay

The feedback stabilization of a class of delayed evolution equations in real Hilbert space is considered. By virtue of an observability-type inequality and a delayed control, sufficient conditions ensuring the strong and weak stabilization are provided. For the strong stabilization, the speed of convergence is successfully established. Various applications with numerical simulations are considered.

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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.