A hybrid method for variable-order fractional 2D optimal control problems on an unbounded domain

Control Problems ◽

Variable Order

A new hybrid method for two dimensional nonlinear variable order fractional optimal control problems

Asian Journal of Control ◽

10.1002/asjc.2351 ◽

2020 ◽

Author(s):

Hossein Hassani ◽

Zakieh Avazzadeh ◽

José António Tenreiro Machado ◽

Eskandar Naraghirad

Keyword(s):

Optimal Control ◽

Hybrid Method ◽

Control Problems ◽

Variable Order ◽

Two Dimensional ◽

Transcendental Bernstein series for solving nonlinear variable order fractional optimal control problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124563 ◽

2019 ◽

Vol 362 ◽

pp. 124563 ◽

Cited By ~ 4

Author(s):

Hossein Hassani ◽

Zakieh Avazzadeh

Keyword(s):

Optimal Control ◽

Control Problems ◽

Variable Order ◽

Numerical study of nonlinear 2D optimal control problems with multi-term variable-order fractional derivatives in the Atangana-Baleanu-Caputo sense

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2020.109695 ◽

2020 ◽

Vol 134 ◽

pp. 109695 ◽

Cited By ~ 1

Author(s):

Kim-Hung Pho ◽

M.H. Heydari ◽

Bui Anh Tuan ◽

Mohammad Reza Mahmoudi

Keyword(s):

Optimal Control ◽

Fractional Derivatives ◽

Variable Order Fractional Derivatives

Numerical Study ◽

Control Problems ◽

Variable Order ◽

A direct method based on the Chebyshev polynomials for a new class of nonlinear variable-order fractional 2D optimal control problems

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2019.07.012 ◽

2019 ◽

Vol 356 (15) ◽

pp. 8216-8236 ◽

Cited By ~ 15

Author(s):

M.H. Heydari

Keyword(s):

Optimal Control ◽

Chebyshev Polynomials ◽

Direct Method ◽

Control Problems ◽

Variable Order ◽

New Class ◽

A Direct Method

2015 2nd International Conference on Knowledge-Based Engineering and Innovation (KBEI) ◽

Developing a hybrid method for solving optimal control problems of the musculoskeletal system of the human body: Combination of linear and angular actuators

10.1109/kbei.2015.7436052 ◽

2015 ◽

Author(s):

Sarah Honarvar ◽

Hossein Ehsani ◽

Mostafa Rostami

Keyword(s):

Optimal Control ◽

Musculoskeletal System ◽

Human Body ◽

Hybrid Method ◽

Control Problems

A new direct method based on the Chebyshev cardinal functions for variable-order fractional optimal control problems

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2018.05.025 ◽

2018 ◽

Vol 355 (12) ◽

pp. 4970-4995 ◽

Cited By ~ 40

Author(s):

Mohammad Hossein Heydari

Keyword(s):

Optimal Control ◽

Direct Method ◽

Control Problems ◽

Variable Order ◽

Fractional Optimal Control Problems ◽

Cardinal Functions

A direct computational method for nonlinear variable‐order fractional delay optimal control problems

Asian Journal of Control ◽

10.1002/asjc.2408 ◽

2020 ◽

Author(s):

Mohammad Hossein Heydari ◽

Zakieh Avazzadeh

Keyword(s):

Optimal Control ◽

Computational Method ◽

Control Problems ◽

Variable Order ◽

Fractional Delay

Non standard finite difference method for solving variable order fractional optimal control problems

Journal of Vibration and Control ◽

10.1177/1077546315586646 ◽

2016 ◽

Vol 23 (6) ◽

pp. 948-958 ◽

Cited By ~ 23

Author(s):

WK Zahra ◽

MM Hikal

Keyword(s):

Optimal Control ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Control Problems ◽

Variable Order ◽

Orthonormal shifted discrete Hahn polynomials for a new category of nonlinear variable‐order fractional 2D optimal control problems

Asian Journal of Control ◽

10.1002/asjc.2573 ◽

2021 ◽

Author(s):

Mohammad Hossein Heydari ◽

Zakieh Avazzadeh ◽

Carlo Cattani

Keyword(s):

Optimal Control ◽

Control Problems ◽

Variable Order ◽

Hahn Polynomials

Novel operational matrices for solving 2-dim nonlinear variable order fractional optimal control problems via a new set of basis functions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.03.015 ◽

2021 ◽

Author(s):

H. Hassani ◽

Z. Avazzadeh

Keyword(s):

Optimal Control ◽

Basis Functions ◽

Control Problems ◽

Operational Matrices ◽

Variable Order ◽