Open AccessDiscrete maximum principle in systems with a delay in control
Author(s) -
Mısır J. Mardanov,
Samin T. Malik
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1847/1/012021
Subject(s) - pontryagin's minimum principle , convexity , maximum principle , mathematics , moment (physics) , control (management) , optimal control , type (biology) , set (abstract data type) , discrete time and continuous time , control theory (sociology) , mathematical optimization , computer science , statistics , physics , economics , ecology , classical mechanics , artificial intelligence , financial economics , programming language , biology
In the paper, we consider a discrete optimal control problem with a delay in control. Taking into account the specificity of this problem, we offer a new research method. The essence of this method is that unlike previously known ones here we assume that the set of admissible speeds satisfies convexity type conditions at the moment t + h , but not at t , where h is time delay in the system. The discrete analog of Pontryagin’s maximum principle is obtained under weakened assumptions. An example showing the content-richness of the obtained result is given.