The Pontryagin maximum principle as a necessary and sufficient optimality condition in a variable structure optimal control problem | Zendy

K. B. Mansimov | Zendy; V.G. Rzayeva | Zendy

Open Access

The Pontryagin maximum principle as a necessary and sufficient optimality condition in a variable structure optimal control problem

Author(s) -

K. B. Mansimov,

V.G. Rzayeva

Publication year - 2021

Publication title -

informatics and control problems

Language(s) - English

Resource type - Journals

ISSN - 2664-2085

DOI - 10.54381/icp.2021.2.02

Subject(s) - pontryagin's minimum principle , maximum principle , mathematics , optimal control , variable (mathematics) , control variable , hamiltonian (control theory) , control (management) , mathematical optimization , control theory (sociology) , mathematical analysis , computer science , statistics , artificial intelligence

The authors consider one optimal control problem with a variable structure, described in various domains by a Goursat-Darboux system and a two-dimensional Volterra integral equation. Using one version of the method of increments, a necessary and sufficient condition for optimality is proved in the form of the Pontryagin maximum principle.

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