GPOPS swMATH ID: 5853 Software Authors: Rao AV, Benson DA, Huntington GT, Francolin C, Darby CL, Patterson MA Description: GPOPS-II - MATLAB Optimal Control Software. GPOPS-II is the next-generation of general purpose optimal control software. GPOPS-II is a new MATLAB software intended to solve general nonlinear optimal control problems (that is, problems where it is desired to optimize systems defined by differential-algebraic equations). GPOPS-II implements the new class of variable-order Gaussian quadrature methods. Using GPOPS-II, the continuous-time optimal control problem is transcribed to a nonlinear programming problem (NLP). The NLP is then solved using either the NLP solver SNOPT or the NLP solver IPOPT. GPOPS-II has been written by Michael A. Patterson and Anil V. Rao and represents a major advancement in the numerical solution of optimal control problems. GPOPS-II is available at NO CHARGE TO MEMBERS OF THE UNIVERSITY OF FLORIDA OR ANY U.S. FEDERAL GOVERNMENT INSTITUTION. All others are required to pay a licensing fee for using GPOPS-II. See also: Algorithm 902: GPOPS, A MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method. Homepage: http://www.gpops2.com/ Dependencies: Matlab Keywords: Scientific/Engineering; Physics; Astronomy; Mathematics Related Software: Matlab; SOCS; SNOPT; Ipopt; OTIS; ACADO; DIDO; CasADi; Python; PROPT; DIRCOL; PSOPT; ADiGator; ICLOCS; KNITRO; bvp4c; MA57; OPQ; Optimization Toolbox; Chebfun Cited in: 93 Publications Further Publications: http://www.gpops2.com/Publications/Publications.html Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year \(\mathbb{GPOPS}-\mathbb{II}\): a MATLAB software for solving multiple-phase optimal control problems using \(hp\)-adaptive Gaussian quadrature collocation methods and sparse nonlinear programming. Zbl 1369.65201Patterson, Michael A.; Rao, Anil V. 2014 Algorithm 902: GPOPS: a MATLAB software for solving multiple-phase optimal control problems using the Gauss pseudospectral method. Zbl 1364.65131Rao, Anil V.; Benson, David A.; Darby, Christopher; Patterson, Michael A.; Francolin, Camila; Sanders, Ilyssa; Huntington, Geoffrey T. 2010 all top 5 Cited by 199 Authors 15 Rao, Anil V. 9 Hager, William W. 6 Campbell, Stephen LaVern 6 Patterson, Michael A. 4 Benson, David A. 4 Betts, John T. 3 Cardona-Salgado, Daiver 3 Choi, Han-Lim 3 Darby, Christopher L. 3 Françolin, Camila C. 3 Goverde, Rob M. P. 3 Ha, Jung-Su 3 Huntington, Geoffrey T. 3 McPhee, John J. 3 Peng, Haijun 3 Shen, Lincheng 3 Vasilieva, Olga Olegovna 2 Digirolamo, Claire 2 Elgindy, Kareem T. 2 Garg, Divya 2 Jansen, Conor 2 Kunkel, Peter 2 Ledzewicz, Urszula 2 Li, Jie 2 McNally, William 2 Mehrpouya, Mohammad Ali 2 Sanders, Ilyssa 2 Schättler, Heinz Michael 2 Scheepmaker, Gerben M. 2 Shamsi, Mostafa 2 Svinin, Mikhail M. 2 Wang, Pengling 2 Wang, Xinwei 1 Agamawi, Yunus M. 1 Aghaee, Mahya 1 An, Honglei 1 Arias-Castro, Juddy Heliana 1 Aykutlug, Erkut 1 Azhmyakov, Vadim 1 Baker, William P. 1 Becerra, Victor M. 1 Benhadj Braiek, Naceur 1 Berret, Bastien 1 Bertolazzi, Enrico 1 Bhasin, Shubhendu 1 Bichiou, Salim 1 Biegler, Lorenz T. 1 Biral, Francesco 1 Bouafoura, Mohamed Karim 1 Campo-Duarte, Doris Elena 1 Cannataro, Begüm Şenses 1 Chae, Hyeok-Joo 1 Chang, Xiaofei 1 Chen, Biaosong 1 Chen, Jing 1 Chen, Shaofei 1 Cobb, Richard G. 1 Collar, Andrés Fraguela 1 Cui, Yi 1 Daoutidis, Prodromos 1 Davis, Timothy Alden 1 Dehghan Takht Fooladi, Mehdi 1 Deng, Xiaobo 1 Diehl, Moritz Mathias 1 Dinh, Huyen T. 1 Dixon, Warren E. 1 Duarte-Mermoud, Manuel Armando 1 Eide, Joseph D. 1 Eisa, Sameh Abdelwahab Nasr 1 Fabien, Brian C. 1 Fang, Bin 1 Fang, Xintong 1 Fernández, Luis Alberto 1 Fontanelli, Daniele 1 Frazzoli, Emilio 1 Frego, Marco 1 Friswell, Michael Ian 1 Gao, Qiang 1 Geček, Sunčana 1 Genesio, Roberto 1 Grant, Michael James 1 Gros, Sebastien 1 Harmon, Frederick G. 1 He, Fengshou 1 Hou, Hongyan 1 Houska, Boris 1 Hsiang, Simon M. 1 Hu, Xiaochuan 1 Hwang, Feng-Tai 1 Hwang, Fengnan 1 Inkol, Keaton A. 1 Jang, Sophia R.-J. 1 Jean, Frédéric 1 Jones, Colin Neil 1 Jönsson, Ulf T. 1 Kamalapurkar, Rushikesh 1 Ke, Guoyi 1 Kelly, Matthew A. 1 Kragelund, Martin 1 Kroon, Leo G. ...and 99 more Authors all top 5 Cited in 41 Serials 9 Automatica 8 Optimal Control Applications & Methods 8 Mathematical Problems in Engineering 6 Journal of Optimization Theory and Applications 5 ACM Transactions on Mathematical Software 4 Applied Mathematical Modelling 3 Journal of the Franklin Institute 3 European Journal of Operational Research 3 Computational Optimization and Applications 3 Multibody System Dynamics 3 Journal of Industrial and Management Optimization 3 Numerical Algebra, Control and Optimization 2 Biological Cybernetics 2 Journal of Mathematical Biology 2 Numerical Algorithms 2 Mathematical Programming Computation 1 International Journal of Control 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Bulletin of Mathematical Biology 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Applied Numerical Mathematics 1 Neural Networks 1 SIAM Review 1 Journal of Nonlinear Science 1 ETNA. Electronic Transactions on Numerical Analysis 1 European Journal of Control 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Communications in Nonlinear Science and Numerical Simulation 1 Optimization and Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Mathematical Biosciences and Engineering 1 Games 1 Journal of Theoretical Biology 1 International Journal of Systems Science. Principles and Applications of Systems and Integration all top 5 Cited in 13 Fields 74 Calculus of variations and optimal control; optimization (49-XX) 30 Numerical analysis (65-XX) 25 Systems theory; control (93-XX) 22 Operations research, mathematical programming (90-XX) 16 Biology and other natural sciences (92-XX) 11 Mechanics of particles and systems (70-XX) 7 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year