Fast, accurate, and small-scale direct trajectory optimization using a Gegenbauer transcription method-Reference-Cited by-同舟云学术

Fast, accurate, and small-scale direct trajectory optimization using a Gegenbauer transcription method

Published:2013-10 Issue: Volume:251 Page:93-116
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Elgindy Kareem T.,Smith-Miles Kate A.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference112 articles.

1. K.T. Elgindy, K.A. Smith-Miles, B. Miller, Solving optimal control problems using a Gegenbauer transcription method, in: The Proceedings of 2012 Australian Control Conference, AUCC 2012 (2012) (in press).

2. Connections between the covector mapping theorem and convergence of pseudospectral methods for optimal control;Gong;Computational Optimization and Applications,2008

3. A pseudospectral method for the optimal control of constrained feedback linearizable systems;Gong;IEEE Transactions on Automatic Control,2006

4. Spectral Methods for Time-Dependent Problems;Hesthaven,2007

5. Conversion of optimal control problems into parameter optimization problems;Hull;Journal of Guidance, Control and Dynamics,1997

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Direct integral pseudospectral and integral spectral methods for solving a class of infinite horizon optimal output feedback control problems using rational and exponential Gegenbauer polynomials;Mathematics and Computers in Simulation;2024-05

2. Fourier-Gegenbauer pseudospectral method for solving time-dependent one-dimensional fractional partial differential equations with variable coefficients and periodic solutions;Mathematics and Computers in Simulation;2024-04

3. New optimal periodic control policy for the optimal periodic performance of a chemostat using a Fourier–Gegenbauer-based predictor-corrector method;Journal of Process Control;2023-07

4. A direct integral pseudospectral method for solving a class of infinite-horizon optimal control problems using Gegenbauer polynomials and certain parametric maps;AIMS Mathematics;2023

5. A high-order embedded domain method combining a Predictor–Corrector-Fourier-Continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains;Journal of Computational and Applied Mathematics;2019-12