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

In: Control Systems and Mathematical Methods in Economics

Author

Listed:
  • Radek Cibulka

    (University of West Bohemia)

  • Tomáš Roubal

    (University of West Bohemia)

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.

Suggested Citation

  • Radek Cibulka & Tomáš Roubal, 2018. "Solution Stability and Path-Following for a Class of Generalized Equations," Lecture Notes in Economics and Mathematical Systems, in: Gustav Feichtinger & Raimund M. Kovacevic & Gernot Tragler (ed.), Control Systems and Mathematical Methods in Economics, pages 57-80, Springer.
    • Handle: RePEc:spr:lnechp:978-3-319-75169-6_4
    DOI: 10.1007/978-3-319-75169-6_4
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