An algorithm for the asymptotic solution of a singularly perturbed linear time-optimal control problem

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(89)90072-5 ◽

1989 ◽

Vol 53 (6) ◽

pp. 695-703

Author(s):

A.I. Kalinin

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Asymptotic Solution ◽

Control Problem ◽

Linear Time ◽

Time Optimal Control ◽

Singularly Perturbed ◽

Time Optimal ◽

Time Optimal Control Problem

Download Full-text

Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542508110043 ◽

2008 ◽

Vol 48 (11) ◽

pp. 1945-1954 ◽

Author(s):

Ya. O. Grudo ◽

A. I. Kalinin

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Asymptotic Method ◽

Time Optimal Control ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Perturbed System ◽

Time Optimal ◽

Time Optimal Control Problem

Download Full-text

The discrete linear time invariant time-optimal control problem—An overview

10.1016/0005-1098(81)90053-4 ◽

1981 ◽

Vol 17 (2) ◽

pp. 363-370 ◽

Author(s):

John O'Reilly

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Linear Time ◽

Time Optimal Control ◽

Linear Time Invariant ◽

Time Optimal ◽

Time Optimal Control Problem ◽

Download Full-text

Asymptotics of a Solution to a Singularly Perturbed Time-Optimal Control Problem of Transferring an Object to a Set

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543821030068 ◽

2021 ◽

Vol 313 (S1) ◽

pp. S40-S53

Author(s):

A. R. Danilin ◽

O. O. Kovrizhnykh

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Time Optimal Control ◽

Singularly Perturbed ◽

Time Optimal ◽

Time Optimal Control Problem

Download Full-text

Regular Synthesis for the Linear Time-Optimal Control Problem with Convex Control Constraints

SIAM Journal on Control and Optimization ◽

10.1137/0327017 ◽

1989 ◽

Vol 27 (2) ◽

pp. 308-329 ◽

Author(s):

Margaréta Halická

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Linear Time ◽

Time Optimal Control ◽

Control Constraints ◽

Time Optimal ◽

Time Optimal Control Problem ◽

Download Full-text

On a Singularly Perturbed Time-Optimal Control Problem with Two Small Parameters

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543819070046 ◽

2019 ◽

Vol 307 (S1) ◽

pp. 34-50

Author(s):

A. R. Danilin ◽

O. O. Kovrizhnykh

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Time Optimal Control ◽

Singularly Perturbed ◽

Small Parameters ◽

Time Optimal ◽

Time Optimal Control Problem

Download Full-text

Asymptotics of a Solution to a Singularly Perturbed Time-Optimal Control Problem

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543818090067 ◽

2018 ◽

Vol 303 (S1) ◽

pp. 60-69

Author(s):

A. R. Danilin ◽

O. O. Kovrizhnykh

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Time Optimal Control ◽

Singularly Perturbed ◽

Time Optimal ◽

Time Optimal Control Problem

Download Full-text

Asymptotics of the Solution to a Singularly Perturbed Time-Optimal Control Problem with Two Small Parameters

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543820040033 ◽

2020 ◽

Vol 309 (S1) ◽

pp. S10-S23

Author(s):

A. R. Danilin ◽

O. O. Kovrizhnykh

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Time Optimal Control ◽

Singularly Perturbed ◽

Small Parameters ◽

Time Optimal ◽

Time Optimal Control Problem

Download Full-text

A numerical method for solving the linear time optimal control problem

International Journal of Control ◽

10.1080/00207178608933595 ◽

1986 ◽

Vol 44 (1) ◽

pp. 251-258 ◽

Author(s):

S. V. GNEVKO

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Numerical Method ◽

Linear Time ◽

Time Optimal Control ◽

Time Optimal ◽

Time Optimal Control Problem

Download Full-text

A time-optimal control problem with gravitational-type nonlinearity

Moscow University Computational Mathematics and Cybernetics ◽

10.3103/s0278641915040081 ◽

2015 ◽

Vol 39 (4) ◽

pp. 168-174

Author(s):

A. O. Novikova

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Time Optimal Control ◽

Time Optimal ◽

Time Optimal Control Problem

Download Full-text

Scheduling multi-operational tasks on nonidentical machines as a time-optimal control problem

European Journal of Operational Research ◽

10.1016/0377-2217(82)90157-6 ◽

1982 ◽

Vol 10 (2) ◽

pp. 173-181 ◽

Author(s):

Tadeusz J. Sawik

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Time Optimal Control ◽

Time Optimal ◽

Time Optimal Control Problem ◽

Nonidentical Machines

Download Full-text