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This article is cited in 1 scientific paper (total in 1 paper)
Optimization Methods and Control Theory
About one class of discrete-continuous systems with parameters
I. V. Rasinaab, I. S. Gusevac a Ailamazyan Program Systems Institute of RAS, Ves’kovo, Russia
b Federal Research Center "Computer Science and Control" of RAS, Moscow, Russia
c Buryat State University, Ulan-Ude, Russia
Abstract:
The study focuses on a special case of a hybrid system: discretecontinuous systems (DCS) with parameters and intermediate criteria. Such systems are two-level. The parameters are included only in continuous systems operating alternately at the lower level. The upper level is described by a discrete process and plays a connecting role for all the lower-level systems. The upper level also determines the policy of interaction of lower-level systems and provides minimization of functionality. The authors formulate an analogue of sufficient Krotov optimality conditions and construct a method for improving control and parameters. The paper contains an illustrative example. Based on the general conditions obtained, we have researched a special case: quasilinear DNS.
Key words and phrases:
discrete-continuous systems with parameters, intermediate criteria, optimal control, quasilinear discrete-continuous systems.
Received: 27.01.2022 16.03.2023 Accepted: 17.03.2023
Citation:
I. V. Rasina, I. S. Guseva, “About one class of discrete-continuous systems with parameters”, Program Systems: Theory and Applications, 14:1 (2023), 125–148
Linking options:
https://www.mathnet.ru/eng/ps419 https://www.mathnet.ru/eng/ps/v14/i1/p125
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