Advances in Differential Equations and Control Processes

The Advances in Differential Equations and Control Processes is an esteemed international journal indexed in the Emerging Sources Citation Index (ESCI). It publishes original research articles related to recent developments in both theory and applications of ordinary and partial differential equations, integral equations, and control theory. The journal highlights the interdisciplinary nature of these topics, with applications in physical, biological, environmental, and health sciences, mechanics, and engineering. It also considers survey articles that identify future avenues of advancement in the field.

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SECOND-ORDER ITERATIVE METHOD FOR OPTIMAL CONTROL PROBLEMS OF MULTISTAGE PROCESSES

Authors

  • V. A. Baturin
  • V. N. Sizykh
  • A. V. Daneev

Keywords:

optimal control, improvement method, inference algorithms, theory of Krotov, sufficient conditions, strong local minimum.

DOI:

https://doi.org/10.17654/0974324322002

Abstract

The paper proposes a second-order strong improvement method for optimal control problems with non-fixed stage time intervals. The technique of inference algorithms is based on the theory of V. F. Krotov. Conditions are given for the control to be improvable, which are closely related to the necessary and sufficient conditions for a strong local minimum.

Received: October 11, 2021
Accepted: November 12, 2021

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Published

2021-12-20

Issue

Section

Articles

How to Cite

SECOND-ORDER ITERATIVE METHOD FOR OPTIMAL CONTROL PROBLEMS OF MULTISTAGE PROCESSES. (2021). Advances in Differential Equations and Control Processes, 26, 21-38. https://doi.org/10.17654/0974324322002

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