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math.OC2024
Method for finding solution to "quasidifferentiable" differential inclusion
Alexander Fominyh
The paper explores the differential inclusion of a special form. It is supposed that the support function of the set in the right-hand side of an inclusion may contain the sum of t…
math.OC2022
The Subdifferential Descent Method in a Nonsmooth Variational Problem
Alexander Fominyh
The paper is devoted to the classical variational problem with a nonsmooth integrand of the functional to be minimized. The integrand is supposed to be subdifferentiable. Under som…
math.OC2019
Exact Penalty Functions for Optimal Control Problems I: Main Theorem and Free-Endpoint Problems
M. V. Dolgopolik, A. V. Fominyh
In this two-part study we develop a general approach to the design and analysis of exact penalty functions for various optimal control problems, including problems with terminal an…