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JOURNALS // Program Systems: Theory and Applications // Archive

Program Systems: Theory and Applications, 2020 Volume 11, Issue 2, Pages 47–59 (Mi ps365)

This article is cited in 2 papers

Optimization Methods and Control Theory

Sufficient relative minimum conditions for discrete-continuous control systems

I. V. Rasina, O. V. Fesko

Ailamazyan Program Systems Institute of Russian Academy of Sciences

Abstract: In this paper, we derive sufficient relative minimum conditions for discrete-continuous control systems on the base of Krotov’s sufficient optimality conditions counterpart. These conditions can be used as verification conditions for suggested control mode and enable one to construct new numerical methods.

Key words and phrases: heterogeneous systems, optimal control problem, local extremum.

UDC: 517.977
BBK: В182:В185.42

MSC: Primary 49M30; Secondary 49N10

Received: 15.03.2020
09.04.2020

DOI: 10.25209/2079-3316-2020-11-2-47-59


 English version:
, 2020, 11:2, 61–73


© Steklov Math. Inst. of RAS, 2024