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

被引：0

作者：

Shcherbakov, P. S. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Trapeznikov Inst Control Sci, Moscow, Russia

[2] Moscow Inst Phys & Technol, Dolgoprudnyi, Russia

来源：

AUTOMATION AND REMOTE CONTROL | 2024年 / 85卷 / 06期

基金：

俄罗斯科学基金会;

关键词：

trinomial difference equation; stability; nonzero initial conditions; peak of solutions; ASYMPTOTIC STABILITY; LARGE DEVIATIONS; SYSTEMS; DELAY;

D O I：

10.1134/S0005117924060092

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：512 / 521

页数：10

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