Speciality:
05.13.18 (Mathematical modeling, numerical methods, and the program systems)
Birth date:
21.02.1948
E-mail: Keywords: dynamical systems; theory of optimal control; minimax methods; optimization methods; discrete-time dynamical systems; numerical methods; mathimatical methods in economics;intelectual systems; simulation of knowledges.
Subject:
For the minimax estimation, control and identification problems in nonlinear discrete-time dynamical systems with incomplete information corresponding formalizations of programmed and positional minimax problems and constructive solutions are proposed. For the minimax estimation and control problems in linear discrete-time dynamical systems with incomplete information corresponding formalizations of programmed and positional minimax problems and constructive numerical solutions in the forms of realizations of sequences solutions of linear and convex programming problems are proposed. For the problems of adaptive minimax control in the pursuit-evasion process in linear discrete-time dynamical systems with complete and incomplete information corresponding formalizations and constructive numerical solutions in the forms of realizations of sequences solutions of linear and convex programming problems are proposed. The results obtained in my research can be used for computer simulation of actual dynamical processes and for designing controlling and navigation systems.
Main publications:
Shorikov A. F. Ob odnom klasse nelineinykh mnogoshagovykh zadach upravleniya-nablyudeniya. I, II // Izv. AN SSSR. Tekhn. kibernetika. 1982. # 4. S. 19–25; 1983. # 3. S. 11–16.
Shorikov A. F. Minimaksnoe pozitsionnoe upravlenie protsessom identifikatsii v nelineinykh mnogoshagovykh sistemakh // Avtomatika i telemekhanika. 1987. # 2. S. 74–88.
Shorikov A. F. Minimaksnye filtry dlya nelineinykh diskretnykh sistem // Kibernetika. 1990. # 4. S. 97–103.
Shorikov A. F. Algoritm resheniya zadachi aposteriornogo minimaksnogo otsenivaniya sostoyanii diskretnykh dinamicheskikh sistem. I, II // Avtomatika i telemekhanika. 1996. # 7. S. 130–143; 1996. # 9. S. 139–150.
Shorikov A. F. Minimaksnoe otsenivanie i upravlenie v diskretnykh dinamicheskikh sistemakh. Ekaterinburg: Izd-vo Ural. un-ta, 1997. 242 s.
