Existence and continuity of solution trajectories of generalized equations with application in electronics

被引：0

作者：

Mehrabinezhad, I ^{[1
]}

Pini, R. ^{[1
]}

Uderzo, A. ^{[1
]}

机构：

[1] Dipartimento Matemat & Applicaz, Via Cozzi 55, I-20125 Milan, Italy

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2019年 / 45卷

关键词：

Generalized equations; Electronic circuits; Strong metric regularity; Uniform strong metric regularity; Perturbations; VARIATIONAL ANALYSIS; NEWTONS METHOD; KANTOROVICHS; STABILITY;

D O I：

10.1016/j.nonrwa.2018.07.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a special form of parametric generalized equations arising from electronic circuits with AC sources and study the effect of perturbing the input signal on solution trajectories. Using methods of variational analysis and strong metric regularity property of an auxiliary map, we are able to prove the regularity properties of the solution trajectories inherited by the input signal. Furthermore, we establish the existence of continuous solution trajectories for the perturbed problem. This can be achieved via a result of uniform strong metric regularity for the auxiliary map. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：414 / 436

页数：23

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