一类差分方程解法中的峰值效应分析

IF 0.6 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS

Automation and Remote Control Pub Date : 2024-10-16 DOI:10.1134/S0005117924060092

P. S. Shcherbakov

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引用次数: 0

摘要

我们考虑了一类众所周知的高阶三叉线性差分方程，并分析了它们的解在单位箱非零初始条件下的非渐近行为。结果表明，对于稳定域中的某些系数子集，总是存在导致解与平衡位置出现较大偏差的峰值的初始条件，而且这些偏差可能取任意大的值。对各种特殊情况进行了研究，并给出了数值示例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Analysis of Peak Effects in the Solutions of a Class of Difference Equations

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Analysis of Peak Effects in the Solutions of a Class of Difference Equations

We consider a class of well-known high-order trinomial linear difference equations and analyze the non-asymptotic behavior of their solutions under non-zero initial conditions from the unit box. It is shown that, for certain subsets of coefficients in the stability domain, there always exist initial conditions leading to peak, a large deviation of solutions from the equilibrium position, and that these deviations may take arbitrarily large values. Various special cases are studied, numerical examples are presented.

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来源期刊

Automation and Remote Control 工程技术-仪器仪表

CiteScore

1.70

自引率

28.60%

发文量

审稿时长

3-8 weeks

期刊介绍： Automation and Remote Control is one of the first journals on control theory. The scope of the journal is control theory problems and applications. The journal publishes reviews, original articles, and short communications (deterministic, stochastic, adaptive, and robust formulations) and its applications (computer control, components and instruments, process control, social and economy control, etc.).