The Numerical Solution of Nonlinear Optimal Control Problems by Using Operational Matrix of Bernstein Polynomials

Najmeh Ghaderi; Mohammad Hadi Farahi;  ;

doi:10.52547/maco.2.1.2

The Numerical Solution of Nonlinear Optimal Control Problems by Using Operational Matrix of Bernstein Polynomials

Mathematical Analysis and Convex Optimization ◽

10.52547/maco.2.1.2 ◽

2021 ◽

Vol 2 (1) ◽

pp. 11-27

Author(s):

Najmeh Ghaderi ◽

Mohammad Hadi Farahi ◽

◽

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Optimal Control Problems ◽

Bernstein Polynomials ◽

Operational Matrix ◽

Nonlinear Optimal Control ◽

Control Problems

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Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss quadrature rule

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.03.003 ◽

2013 ◽

Vol 250 ◽

pp. 143-160 ◽

Cited By ~ 67

Author(s):

A. Lotfi ◽

S.A. Yousefi ◽

Mehdi Dehghan

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Orthonormal Basis ◽

Optimal Control Problems ◽

Operational Matrix ◽

Quadrature Rule ◽

Gauss Quadrature ◽

Control Problems ◽

Fractional Optimal Control Problems ◽

Gauss Quadrature Rule

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Numerical Solution of a Class of Nonlinear Optimal Control Problems Using Linearization and Discretization

Applied Mathematics ◽

10.4236/am.2011.25085 ◽

2011 ◽

Vol 02 (05) ◽

pp. 646-652 ◽

Cited By ~ 6

Author(s):

Mohammad Hadi Noori Skandari ◽

Emran Tohidi

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems

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Numerical solution approaches for robust nonlinear optimal control problems

Computers & Chemical Engineering ◽

10.1016/j.compchemeng.2007.06.002 ◽

2008 ◽

Vol 32 (6) ◽

pp. 1279-1292 ◽

Cited By ~ 38

Author(s):

Moritz Diehl ◽

Johannes Gerhard ◽

Wolfgang Marquardt ◽

Martin Mönnigmann

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems

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A robust pseudospectral method for numerical solution of nonlinear optimal control problems

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1807521 ◽

2020 ◽

pp. 1-20

Author(s):

Mohammad Ali Mehrpouya ◽

Haijun Peng

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Optimal Control Problems ◽

Pseudospectral Method ◽

Nonlinear Optimal Control ◽

Control Problems

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Numerical solution of 2D fractional optimal control problems by the spectral method along with Bernstein operational matrix

International Journal of Control ◽

10.1080/00207179.2017.1334267 ◽

2017 ◽

Vol 91 (12) ◽

pp. 2632-2645 ◽

Cited By ~ 8

Author(s):

Ali Nemati

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Spectral Method ◽

Optimal Control Problems ◽

Operational Matrix ◽

Control Problems ◽

Fractional Optimal Control ◽

Fractional Optimal Control Problems

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Numerical solution of time delay optimal control problems by hybrid of block-pulse functions and Bernstein polynomials

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnw057 ◽

2016 ◽

pp. dnw057 ◽

Cited By ~ 2

Author(s):

Mahmood Dadkhah ◽

Mohammad Hadi Farahi ◽

Aghileh Heydari

Keyword(s):

Optimal Control ◽

Time Delay ◽

Numerical Solution ◽

Optimal Control Problems ◽

Bernstein Polynomials ◽

Control Problems ◽

Block Pulse Functions

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Numerical solution of nonlinear optimal control problems using nonlinear programming

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.09.074 ◽

2007 ◽

Vol 187 (2) ◽

pp. 1511-1519 ◽

Cited By ~ 8

Author(s):

K.P. Badakhshan ◽

A.V. Kamyad

Keyword(s):

Optimal Control ◽

Nonlinear Programming ◽

Numerical Solution ◽

Optimal Control Problems ◽

Nonlinear Optimal Control ◽

Control Problems

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An Efficient Numerical Solution of Fractional Optimal Control Problems by using the Ritz Method and Bernstein Operational Matrix

Asian Journal of Control ◽

10.1002/asjc.1321 ◽

2016 ◽

Vol 18 (6) ◽

pp. 2272-2282 ◽

Cited By ~ 24

Author(s):

Ali Nemati ◽

Sohrabali Yousefi ◽

Fahimeh Soltanian ◽

J.Saffar Ardabili

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Optimal Control Problems ◽

Ritz Method ◽

Operational Matrix ◽

Control Problems ◽

Fractional Optimal Control ◽

Fractional Optimal Control Problems

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A Method for the Numerical Solution of Singular Optimal Control Problems Using an Adaptive Radau Collocation Method

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-1456 ◽

2021 ◽

Author(s):

Elisha R. Pager ◽

Anil V. Rao

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Collocation Method ◽

Optimal Control Problems ◽

Control Problems ◽

Singular Optimal Control

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NUMERICAL SOLUTION OF TIME OPTIMAL CONTROL PROBLEMS BY A FINITE CHEBYSHEV SERIES, PART 1; COMPUTATION

Memoirs of the Faculty of Science Kyushu University Series A Mathematics ◽

10.2206/kyushumfs.34.195 ◽

1980 ◽

Vol 34 (2) ◽

pp. 195-232

Author(s):

Kumiko ITOH

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Optimal Control Problems ◽

Time Optimal Control ◽

Control Problems ◽

Chebyshev Series ◽

Time Optimal

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