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.
Biography
Graduated from Faculty of Mathematics and Mechanics Perm State University (PSU) in 1971. Ph.D. thesis was defended in 1983. D.Sci. thesis was defended in 1983. A list of my works contains more than 70 titles.
I am a Member of St. Petersburg Mathematical Society. I am a Real Member of Academy of Nonlinear Science.
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.
A. F. Shorikov, V. I. Kalev, “Solving the minimax open-loop control problem for carrier rocket fuel consumption”, Avtomat. i Telemekh., 2020, no. 2, 76–90; Autom. Remote Control, 81:2 (2020), 258–268
A. F. Shorikov, “Minimax program terminal control in two-level hierarchic nonlinear discrete dynamical system”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132 (2017), 153–156; J. Math. Sci. (N. Y.), 230:5 (2018), 808–812
, A. F. Shorikov, “Discretization procedure for linear dynamical systems”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132 (2017), 20–23; J. Math. Sci. (N. Y.), 230:5 (2018), 664–667
A. F. Shorikov, “Minimax program control for the approach process in a two-level hierarchical discrete dynamical system”, Avtomat. i Telemekh., 2014, no. 3, 58–72; Autom. Remote Control, 75:3 (2014), 458–469
A. F. Shorikov, “Adaptive minimax control of a pursuit process with many pursuers in discrete dynamical systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 11:1 (2005), 225–240; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 1, S193–S208
A. F. Shorikov, “Нелинейная задача адаптивного минимаксного
управления для процесса преследования-уклонения в дискретной
динамической системе с несколькими преследователями”, Vestnik Chelyabinsk. Gos. Univ., 2003, no. 8, 203–215
2000
7.
A. F. Shorikov, “An algorithm of adaptive minimax control for the pursuit-evasion process in discrete-time dynamical system”, Trudy Inst. Mat. i Mekh. UrO RAN, 6:2 (2000), 515–535; Proc. Steklov Inst. Math. (Suppl.), 2000no. , suppl. 2, S173–S190
A. F. Shorikov, “An Algorithm for A Posteriori Minimax Estimation of States of Discrete Dynamic Systems. II”, Avtomat. i Telemekh., 1996, no. 9, 139–150; Autom. Remote Control, 57:9 (1996), 1335–1343
A. F. Shorikov, “Algorithm of A Posteriori Minimax State Estimation in Discrete Dynamic Systems. I”, Avtomat. i Telemekh., 1996, no. 7, 130–143; Autom. Remote Control, 57:7 (1996), 1016–1026
V. A. Tyulyukin, A. F. Shorikov, “An algorithm for solving a terminal control problem for a linear discrete system”, Avtomat. i Telemekh., 1993, no. 4, 115–127; Autom. Remote Control, 54:4 (1993), 632–643
A. F. Shorikov, “Minimax filters for estimating the states of nonlinear discrete systems”, Avtomat. i Telemekh., 1991, no. 4, 112–122; Autom. Remote Control, 52:4 (1991), 533–541
A. F. Shorikov, “Minimax positional control of identification in nonlinear multi-step systems”, Avtomat. i Telemekh., 1987, no. 2, 74–88
2003
13.
T. B. Bigil'deeva, S. V. Matveev, A. F. Shorikov, “Валентин Дмитриевич Батухтин (к семидесятилетию со дня рождения)”, Vestnik Chelyabinsk. Gos. Univ., 2003, no. 8, 5–12
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