Solution Stability and Path-Following for a Class of Generalized Equations

Radek Cibulka () and Tomáš Roubal ()
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Radek Cibulka: University of West Bohemia
Tomáš Roubal: University of West Bohemia

A chapter in Control Systems and Mathematical Methods in Economics, 2018, pp 57-80 from Springer

Abstract: Abstract We study strong metric (sub)regularity of a special non-monotone generalized equation with either smooth or locally Lipschitz single-valued part. The existence of a Lipschitz selection of a solution mapping associated with a parametric generalized equation is proved. An inexact Euler-Newton continuation method for tracking a solution trajectory is introduced and demonstrated to have an accuracy of order O(h 4). The theoretical results are applied in the study of non-regular electrical circuits involving devices like diodes and transistors.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-319-75169-6_4

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DOI: 10.1007/978-3-319-75169-6_4

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