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## Betts, John T.

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 Author ID: betts.john-t Published as: Betts, J. T.; Betts, John T.
 Documents Indexed: 41 Publications since 1972, including 3 Books
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#### Co-Authors

 19 single-authored 11 Campbell, Stephen LaVern 7 Huffman, William P. 3 Biehn, Neil 3 Thompson, Karmethia C. 2 Engelsone, Anna 2 Frank, Paul D. 1 Citron, Stephen J. 1 Cramer, Evin J. 1 Digirolamo, Claire 1 Eldersveld, Samuel K. 1 Erb, Sven O. 1 Gherman, Ilia 1 Lewis, John Gregg 1 Schulz, Volker H.
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#### Serials

 6 Journal of Guidance, Control and Dynamics 5 Journal of Optimization Theory and Applications 3 Journal of Computational and Applied Mathematics 3 Advances in Design and Control 2 AIAA Journal 2 ACM Transactions on Mathematical Software 2 Applied Numerical Mathematics 2 Numerical Algorithms 1 Optimal Control Applications & Methods 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Optimization Methods & Software 1 Optimization and Engineering 1 SIAM Journal on Applied Dynamical Systems 1 Numerical Algebra, Control and Optimization
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#### Fields

 27 Calculus of variations and optimal control; optimization (49-XX) 24 Numerical analysis (65-XX) 24 Operations research, mathematical programming (90-XX) 6 Ordinary differential equations (34-XX) 6 Mechanics of particles and systems (70-XX) 4 Systems theory; control (93-XX) 2 Computer science (68-XX) 1 Partial differential equations (35-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH

35 Publications have been cited 571 times in 428 Documents Cited by Year
Survey of numerical methods for trajectory optimization. Zbl 1158.49303
Betts, John T.
1998
Practical methods for optimal control using nonlinear programming. Zbl 0995.49017
Betts, John T.
2001
Practical methods for optimal control and estimation using nonlinear programming. 2nd ed. Zbl 1189.49001
Betts, John T.
2010
Solving the nonlinear least square problem: Application of a general method. Zbl 0304.49024
Betts, J. T.
1976
Optimal low thrust trajectories to the Moon. Zbl 1088.49500
Betts, John T.; Erb, Sven O.
2003
Issues in the direct transcription of optimal control problems to sparse nonlinear programs. Zbl 0797.49028
Betts, John T.
1994
Path-constrained trajectory optimization using sparse sequential quadratic programming. Zbl 0781.49019
Betts, John T.; Huffman, William P.
1993
An accelerated multiplier method for nonlinear programming. Zbl 0325.65027
Betts, J. T.
1977
Direct transcription solution of optimal control problems with higher-order state constraints: theory vs practice. Zbl 1170.49311
Betts, J. T.; Campbell, S. L.; Engelsone, A.
2007
Direct transcription solution of higher-index optimal control problems and the virtual index. Zbl 1113.65066
Engelsone, A.; Campbell, S. L.; Betts, J. T.
2007
Convergence of nonconvergent IRK discretizations of optimal control problems with state inequality constraints. Zbl 1009.49025
Betts, J. T.; Biehn, N.; Campbell, S. L.
2002
A sparse nonlinear optimization algorithm. Zbl 0843.90106
Betts, J. T.; Frank, P. D.
1994
Application of sparse nonlinear programming to trajectory optimization. Zbl 0751.90069
Betts, John T.; Huffman, William P.
1992
Discretize then optimize. Zbl 1197.49032
Betts, John T.; Campbell, Stephen L.
2005
Compensating for order variation in mesh refinement for direct transcription methods. Zbl 0971.65075
Betts, John T.; Biehn, Neil; Campbell, Stephen L.; Huffman, William P.
2000
Trajectory optimization on a parallel processor. Zbl 0800.90768
Betts, John T.; Huffman, William P.
1991
An improved penalty function method for solving constrained parameter optimization problems. Zbl 0281.90065
Betts, J. T.
1975
Approximate optimal control of distributed parameter systems. Zbl 0227.49015
Betts, John T.; Citron, Stephen J.
1972
Compensating for order variation in mesh refinement for direct transcription methods. II: Computational experience. Zbl 1006.65088
Betts, J. T.; Biehn, N.; Campbell, S. L.; Huffman, W. P.
2002
Very low-thrust trajectory optimization using a direct SQP method. Zbl 0970.65072
Betts, John T.
2000
Trajectory optimization using sparse sequential quadratic programming. Zbl 0794.49029
Betts, John T.
1993
Optimal control of a delay PDE. Zbl 1317.49032
Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia C.
2012
Application of direct transcription to commercial aircraft trajectory optimization. Zbl 0826.93050
Betts, John T.; Cramer, Evin J.
1995
A gradient projection-multiplier method for nonlinear programming. Zbl 0351.90066
Betts, J. T.
1978
Solving optimal control problems with control delays using direct transcription. Zbl 1346.65033
Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia C.
2016
Lobatto IIIA methods, direct transcription, and DAEs with delays. Zbl 1317.65162
Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia
2015
Sparse Jacobian updates in the collocation method for optimal control problems. Zbl 0704.49026
Betts, John T.
1990
Comments on direct transcription solution of DAE constrained optimal control problems with two discretization approaches. Zbl 1353.65060
Campbell, Stephen L.; Betts, John T.
2016
Large scale parameter estimation using sparse nonlinear programming methods. Zbl 1043.49036
Betts, John T.; Huffman, William P.
2003
Exploiting sparsity in the direct transcription method for optimal control. Zbl 0937.49018
Betts, John T.; Huffman, William P.
1999
Optimal low-thrust orbit transfers with eclipsing. Zbl 1311.49080
Betts, John T.
2015
An interior-point algorithm for large scale optimization. Zbl 1062.65061
Betts, John T.; Eldersveld, Samuel K.; Frank, Paul D.; Lewis, John G.
2003
The application of sparse least squares in aerospace design problems. Zbl 0834.90137
Betts, John T.
1995
A compact algorithm for computing the stationary point of a quadratic function subject to linear constraints. Zbl 0434.65040
Betts, J. T.
1980
Optimal three-burn orbit transfer. Zbl 0363.70029
Betts, J. T.
1977
Solving optimal control problems with control delays using direct transcription. Zbl 1346.65033
Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia C.
2016
Comments on direct transcription solution of DAE constrained optimal control problems with two discretization approaches. Zbl 1353.65060
Campbell, Stephen L.; Betts, John T.
2016
Lobatto IIIA methods, direct transcription, and DAEs with delays. Zbl 1317.65162
Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia
2015
Optimal low-thrust orbit transfers with eclipsing. Zbl 1311.49080
Betts, John T.
2015
Optimal control of a delay PDE. Zbl 1317.49032
Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia C.
2012
Practical methods for optimal control and estimation using nonlinear programming. 2nd ed. Zbl 1189.49001
Betts, John T.
2010
Direct transcription solution of optimal control problems with higher-order state constraints: theory vs practice. Zbl 1170.49311
Betts, J. T.; Campbell, S. L.; Engelsone, A.
2007
Direct transcription solution of higher-index optimal control problems and the virtual index. Zbl 1113.65066
Engelsone, A.; Campbell, S. L.; Betts, J. T.
2007
Discretize then optimize. Zbl 1197.49032
Betts, John T.; Campbell, Stephen L.
2005
Optimal low thrust trajectories to the Moon. Zbl 1088.49500
Betts, John T.; Erb, Sven O.
2003
Large scale parameter estimation using sparse nonlinear programming methods. Zbl 1043.49036
Betts, John T.; Huffman, William P.
2003
An interior-point algorithm for large scale optimization. Zbl 1062.65061
Betts, John T.; Eldersveld, Samuel K.; Frank, Paul D.; Lewis, John G.
2003
Convergence of nonconvergent IRK discretizations of optimal control problems with state inequality constraints. Zbl 1009.49025
Betts, J. T.; Biehn, N.; Campbell, S. L.
2002
Compensating for order variation in mesh refinement for direct transcription methods. II: Computational experience. Zbl 1006.65088
Betts, J. T.; Biehn, N.; Campbell, S. L.; Huffman, W. P.
2002
Practical methods for optimal control using nonlinear programming. Zbl 0995.49017
Betts, John T.
2001
Compensating for order variation in mesh refinement for direct transcription methods. Zbl 0971.65075
Betts, John T.; Biehn, Neil; Campbell, Stephen L.; Huffman, William P.
2000
Very low-thrust trajectory optimization using a direct SQP method. Zbl 0970.65072
Betts, John T.
2000
Exploiting sparsity in the direct transcription method for optimal control. Zbl 0937.49018
Betts, John T.; Huffman, William P.
1999
Survey of numerical methods for trajectory optimization. Zbl 1158.49303
Betts, John T.
1998
Application of direct transcription to commercial aircraft trajectory optimization. Zbl 0826.93050
Betts, John T.; Cramer, Evin J.
1995
The application of sparse least squares in aerospace design problems. Zbl 0834.90137
Betts, John T.
1995
Issues in the direct transcription of optimal control problems to sparse nonlinear programs. Zbl 0797.49028
Betts, John T.
1994
A sparse nonlinear optimization algorithm. Zbl 0843.90106
Betts, J. T.; Frank, P. D.
1994
Path-constrained trajectory optimization using sparse sequential quadratic programming. Zbl 0781.49019
Betts, John T.; Huffman, William P.
1993
Trajectory optimization using sparse sequential quadratic programming. Zbl 0794.49029
Betts, John T.
1993
Application of sparse nonlinear programming to trajectory optimization. Zbl 0751.90069
Betts, John T.; Huffman, William P.
1992
Trajectory optimization on a parallel processor. Zbl 0800.90768
Betts, John T.; Huffman, William P.
1991
Sparse Jacobian updates in the collocation method for optimal control problems. Zbl 0704.49026
Betts, John T.
1990
A compact algorithm for computing the stationary point of a quadratic function subject to linear constraints. Zbl 0434.65040
Betts, J. T.
1980
A gradient projection-multiplier method for nonlinear programming. Zbl 0351.90066
Betts, J. T.
1978
An accelerated multiplier method for nonlinear programming. Zbl 0325.65027
Betts, J. T.
1977
Optimal three-burn orbit transfer. Zbl 0363.70029
Betts, J. T.
1977
Solving the nonlinear least square problem: Application of a general method. Zbl 0304.49024
Betts, J. T.
1976
An improved penalty function method for solving constrained parameter optimization problems. Zbl 0281.90065
Betts, J. T.
1975
Approximate optimal control of distributed parameter systems. Zbl 0227.49015
Betts, John T.; Citron, Stephen J.
1972
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#### Cited by 826 Authors

 15 Betts, John T. 15 Campbell, Stephen LaVern 10 Trélat, Emmanuel 9 Shamsi, Mostafa 8 Maurer, Helmut 7 Gerdts, Matthias 6 Ober-Blöbaum, Sina 6 Rao, Anil V. 6 Topputo, Francesco 5 Bai, Zhongzhi 5 Bonnans, Joseph Frédéric 5 Bottasso, Carlo L. 5 Marzban, Hamid-Reza 5 Mingotti, Giorgio 5 Peng, Haijun 5 Teo, Kok Lay 5 Zhang, Guofeng 5 Zheng, Qingqing 4 Bernelli-Zazzera, Franco 4 Biegler, Lorenz T. 4 Büskens, Christof 4 Cerf, Max 4 Chachuat, Benoît 4 Fan, Hongtao 4 Hoseini, Sayyed Mohammad 4 Ma, Changfeng 4 Martinon, Pierre 4 Olivares, Alberto E. 4 Shen, Lincheng 4 Staffetti, Ernesto 4 Zheng, Bing 3 Azhmyakov, Vadim 3 Biehn, Neil 3 Croce, Alessandro 3 de Pinho, Maria do Rosário 3 Dehghan Takht Fooladi, Mehdi 3 Duan, Guangren 3 Dutra, Dimas Abreu Archanjo 3 Engelsone, Anna 3 Foroozandeh, Zahra 3 Gong, Qi 3 Gros, Sebastien 3 Houska, Boris 3 Kang, Wei 3 Karamzin, Dmitry Yu. 3 Lenhart, Suzanne M. 3 Li, Jing 3 Lobo Pereira, Fernando 3 Lukšan, Ladislav 3 Mohammad, Hassan 3 Prasad, Bandhu 3 Psiaki, Mark L. 3 Royset, Johannes O. 3 Sager, Sebastian 3 Tohidi, Emran 3 Williams, Paul T. 3 Wu, Zhigang 3 Zhu, Jiamin 3 Zuazua, Enrique 2 Abualrub, Taher A. 2 Abukhaled, Marwan I. 2 Açıkmeşe, Behçet 2 Aguirre, Luis Antonio 2 Armellin, Roberto 2 Aronna, María Soledad 2 Arora, Jasbir S. 2 Baoyin, Hexi 2 Berger, André 2 Bertolazzi, Enrico 2 Bidabadi, Narges 2 Boccia, Andrea 2 Bonnard, Bernard 2 Brüls, Olivier 2 Campos, Cédric Martínez 2 Chaplais, François 2 Chatterjee, Debasish 2 Chen, Biaosong 2 Chettibi, T. 2 Claeys, Mathieu 2 Conway, Bruce A. 2 Cots, Olivier 2 Dębski, Roman 2 Delavarkhalafi, Ali 2 Dellnitz, Michael 2 Dennis, John E. jun. 2 Diehl, Moritz Mathias 2 Effati, Sohrab 2 Fabien, Brian C. 2 Fahroo, Fariba 2 Flaßkamp, Kathrin 2 Fliege, Jörg 2 Fontes, Fernando A. C. C. 2 Gao, Xingbao 2 Gregory, John W. 2 Grigoriev, Alexander 2 Hager, William W. 2 Hanchi, Samir 2 Hermant, Audrey 2 Heydari, Aghileh 2 Hock, Willi ...and 726 more Authors
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#### Cited in 130 Serials

 45 Journal of Optimization Theory and Applications 23 Optimal Control Applications & Methods 21 Journal of Computational and Applied Mathematics 20 Automatica 15 Celestial Mechanics and Dynamical Astronomy 12 Multibody System Dynamics 11 Applied Mathematics and Computation 11 Mathematical Problems in Engineering 10 International Journal of Control 10 Journal of the Franklin Institute 10 Computational Optimization and Applications 8 Applied Mathematical Modelling 7 Computers & Mathematics with Applications 7 Numerical Algorithms 7 Optimization and Engineering 5 European Journal of Operational Research 5 Mathematical Programming. Series A. Series B 5 Computational and Applied Mathematics 5 Nonlinear Dynamics 4 BIT 4 Systems & Control Letters 4 Optimization 4 Computers & Operations Research 4 Journal of Vibration and Control 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Optimization Methods & Software 3 Mathematical Biosciences 3 International Journal for Numerical Methods in Engineering 3 Kybernetika 3 Mathematics and Computers in Simulation 3 Applied Numerical Mathematics 3 Mathematical and Computer Modelling 3 International Journal of Applied Mathematics and Computer Science 3 Nonlinear Analysis. Hybrid Systems 3 Asian Journal of Control 3 Numerical Algebra, Control and Optimization 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal of Systems Science 2 Journal of Mathematical Biology 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Optimization 2 Computing 2 SIAM Journal on Control and Optimization 2 Acta Applicandae Mathematicae 2 Physica D 2 Journal of Intelligent & Robotic Systems 2 Journal of Global Optimization 2 International Journal of Computer Mathematics 2 Linear Algebra and its Applications 2 Journal of Nonlinear Science 2 Discrete and Continuous Dynamical Systems 2 Science in China. Series E 2 European Journal of Control 2 Abstract and Applied Analysis 2 Discrete Dynamics in Nature and Society 2 European Journal of Mechanics. A. Solids 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Machine Learning Research (JMLR) 2 Journal of Applied Mathematics and Computing 2 Structural and Multidisciplinary Optimization 2 Inverse Problems in Science and Engineering 2 Science China. Information Sciences 2 East Asian Journal on Applied Mathematics 1 Biological Cybernetics 1 Computer Physics Communications 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 Fuzzy Sets and Systems 1 Journal of Differential Equations 1 Journal of Soviet Mathematics 1 Mathematics of Operations Research 1 Meccanica 1 Naval Research Logistics 1 Numerische Mathematik 1 Operations Research Letters 1 Applied Mathematics and Mechanics. (English Edition) 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computer Aided Geometric Design 1 Computational Mechanics 1 Journal of Economic Dynamics & Control 1 SIAM Journal on Matrix Analysis and Applications 1 Real-Time Systems 1 Japan Journal of Industrial and Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Automation and Remote Control 1 Communications in Statistics. Simulation and Computation 1 Communications in Statistics. Theory and Methods 1 SIAM Review 1 Computational Statistics and Data Analysis 1 International Journal of Robust and Nonlinear Control 1 SIAM Journal on Optimization 1 Archives of Control Sciences 1 Journal of Computer and Systems Sciences International 1 ETNA. Electronic Transactions on Numerical Analysis ...and 30 more Serials
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#### Cited in 29 Fields

 248 Calculus of variations and optimal control; optimization (49-XX) 154 Numerical analysis (65-XX) 129 Operations research, mathematical programming (90-XX) 107 Systems theory; control (93-XX) 87 Mechanics of particles and systems (70-XX) 35 Ordinary differential equations (34-XX) 21 Biology and other natural sciences (92-XX) 18 Partial differential equations (35-XX) 16 Computer science (68-XX) 13 Mechanics of deformable solids (74-XX) 11 Dynamical systems and ergodic theory (37-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Fluid mechanics (76-XX) 4 Statistics (62-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)