01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
, ,
UDC:
517.977, 517.925
Subject:
Optimal control.
Main publications:
Nakoplenie pereklyuchenii upravleniya v zadachakh s raspredelennymi parametrami,
M. I. Zelikin, L. A. Manita,
SMFN, 2006, 19, 78–113.
Povedenie ekstremalei v okrestnosti osobykh rezhimov i negladkie funktsii Lyapunova v zadachakh optimalnogo upravleniya,
L. A. Manita,
Fundament. i prikl. matem., 1996, 2:2, 411–447.
M. I. Ronzhina, L. A. Manita, “Logarithmic spirals in optimal control problems with control in a disk”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 233 (2024), 75–88
2023
2.
Mariya I. Ronzhina, Larisa A. Manita, “Spiral-Like Extremals near a Singular Surface
in a Rocket Control Problem”, Regul. Chaotic Dyn., 28:2 (2023), 148–161
M. I. Ronzhina, L. A. Manita, L. V. Lokutsievskiy, “Solutions of a Hamiltonian system with two-dimensional control in a neighbourhood of a singular second-order extremal”, Uspekhi Mat. Nauk, 76:5(461) (2021), 201–202; Russian Math. Surveys, 76:5 (2021), 936–938
M. I. Ronzhina, L. A. Manita, L. V. Lokutsievskiy, “Neighborhood of the Second-Order Singular Regime in Problems with Control in a Disk”, Trudy Mat. Inst. Steklova, 315 (2021), 222–236; Proc. Steklov Inst. Math., 315 (2021), 209–222
L. A. Manita, M. I. Ronzhina, “Optimal synthesis in the control problem of an $n$-link inverted pendulum with a moving base”, CMFD, 56 (2015), 129–144; Journal of Mathematical Sciences, 221:1 (2017), 137–153
V. F. Borisov, M. I. Zelikin, L. A. Manita, “Optimal synthesis in an infinite-dimensional space”, Trudy Mat. Inst. Steklova, 271 (2010), 40–58; Proc. Steklov Inst. Math., 271 (2010), 34–52
M. I. Zelikin, L. A. Manita, “Accumulation of Switchings in Distributed Parameter Problems”, CMFD, 19 (2006), 78–113; Journal of Mathematical Sciences, 151:6 (2008), 3506–3542
L. A. Manita, “The behaviour of extremals in the neighbourhood of singular regimes and non-smooth Liapunov functions in optimal control problems”, Fundam. Prikl. Mat., 2:2 (1996), 411–447
L. A. Manita, “Optimal control of an oscillator with variable stiffness”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, no. 6, 89–91
Presentations in Math-Net.Ru
1.
Ломоносовские чтения A. D. Manita, L. A. Manita, A. Yu. Veretennikov, A. T. Akhmyarova Principle Seminar of the Department of Probability Theory, Moscow State University April 3, 2024 16:45
Singularity of Fuller type in a control problem of a rocket L. A. Manita, M. I. Ronzhina International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 9, 2022 15:00
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