Comparison of solutions for non-monotone dynamical systems

IF 2.1 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2024-07-03 DOI:10.1016/j.sysconle.2024.105862

Alain Rapaport , Oumaima Laraj , Noha El Khattabi

引用次数: 0

Abstract

We give conditions for a non-monotone system to preserve the usual vector order of solutions for a subset of initial conditions. Our approach consists of separating terms that meet Kamke’s sign condition from other ones in the dynamics, and considering Picard iterations. These conditions amount for the dynamics to preserve a partial order, which is not necessarily induced by a cone. Examples illustrate the results.

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非单调动力学系统解法的比较

我们给出了非单调系统在初始条件子集下保持解的通常向量阶数的条件。我们的方法包括将动力学中符合卡姆克符号条件的项与其他项分开，并考虑皮卡尔迭代。这些条件相当于动力学保留了部分阶，而部分阶并不一定是由锥体引起的。举例说明结果。

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

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.