Betts, John T. Practical methods for optimal control using nonlinear programming. 3rd revised edition. (English) Zbl 1451.49001 Advances in Design and Control 36. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-618-2/hbk; 978-1-61197-619-9/ebook). xiv, 733 p. (2020). Reviewer: Karel Zimmermann (Praha) MSC: 49-01 90-01 49M37 65L50 90C30 34H05 34A12 34K05 PDF BibTeX XML Cite \textit{J. T. Betts}, Practical methods for optimal control using nonlinear programming. 3rd revised edition. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2020; Zbl 1451.49001) Full Text: DOI
Jiao, Feng; Ren, Jian; Yu, Jianshe Analytical formula and dynamic profile of mRNA distribution. (English) Zbl 1429.92067 Discrete Contin. Dyn. Syst., Ser. B 25, No. 1, 241-257 (2020). MSC: 92C40 34F05 PDF BibTeX XML Cite \textit{F. Jiao} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 1, 241--257 (2020; Zbl 1429.92067) Full Text: DOI
Jauhari, Shaurya; Rizvi, S. A. M. A priori, de novo mathematical exploration of gene expression mechanism via regression viewpoint with briefly cataloged modeling antiquity. (English) Zbl 1352.62110 Int. J. Biomath. 10, No. 1, Article ID 1750006, 15 p. (2017). MSC: 62J05 92B05 PDF BibTeX XML Cite \textit{S. Jauhari} and \textit{S. A. M. Rizvi}, Int. J. Biomath. 10, No. 1, Article ID 1750006, 15 p. (2017; Zbl 1352.62110) Full Text: DOI
Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia C. Solving optimal control problems with control delays using direct transcription. (English) Zbl 1346.65033 Appl. Numer. Math. 108, 185-203 (2016). MSC: 65K10 49J15 49M37 PDF BibTeX XML Cite \textit{J. T. Betts} et al., Appl. Numer. Math. 108, 185--203 (2016; Zbl 1346.65033) Full Text: DOI
Betts, John T.; Campbell, Stephen L.; Thompson, Karmethia Lobatto IIIA methods, direct transcription, and DAEs with delays. (English) Zbl 1317.65162 Numer. Algorithms 69, No. 2, 291-300 (2015). MSC: 65L80 65L06 34A09 65L03 65L20 PDF BibTeX XML Cite \textit{J. T. Betts} et al., Numer. Algorithms 69, No. 2, 291--300 (2015; Zbl 1317.65162) Full Text: DOI
Davis, Lisa; Gedeon, Temáš; Thorenson, Jennifer Discontinuous Galerkin calculations for a nonlinear PDE model of DNA transcription with short, transient and frequent pausing. (English) Zbl 1324.92024 J. Comput. Math. 32, No. 6, 601-629 (2014). MSC: 92D20 65M60 90B20 PDF BibTeX XML Cite \textit{L. Davis} et al., J. Comput. Math. 32, No. 6, 601--629 (2014; Zbl 1324.92024) Full Text: DOI
Jiao, Feng; Tang, Moxun; Yu, Jianshe Distribution profiles and their dynamic transition in stochastic gene transcription. (English) Zbl 1273.34066 J. Differ. Equations 254, No. 8, 3307-3328 (2013). Reviewer: Romeo Negrea (Timisoara) MSC: 34F05 37H10 60J20 92D20 PDF BibTeX XML Cite \textit{F. Jiao} et al., J. Differ. Equations 254, No. 8, 3307--3328 (2013; Zbl 1273.34066) Full Text: DOI
Li, B.; Teo, K. L.; Zhao, G. H.; Duan, G. R. An efficient computational approach to a class of minmax optimal control problems with applications. (English) Zbl 1203.49034 ANZIAM J. 51, No. 2, 162-177 (2009). MSC: 49K35 49M30 PDF BibTeX XML Cite \textit{B. Li} et al., ANZIAM J. 51, No. 2, 162--177 (2009; Zbl 1203.49034) Full Text: DOI
Engelsone, Anna; Campbell, Stephen L. Adjoint estimation using direct transcription multipliers: compressed trapezoidal method. (English) Zbl 1219.49027 Optim. Eng. 9, No. 3, 291-305 (2008). MSC: 49M37 49M25 PDF BibTeX XML Cite \textit{A. Engelsone} and \textit{S. L. Campbell}, Optim. Eng. 9, No. 3, 291--305 (2008; Zbl 1219.49027) Full Text: DOI
Santillán, Moisés; Zeron, Eduardo S. Analytical study of the multiplicity of regulatory mechanisms in the tryptophan operon. (English) Zbl 1402.92184 Bull. Math. Biol. 70, No. 4, 1250 (2008). MSC: 92C40 92D10 PDF BibTeX XML Cite \textit{M. Santillán} and \textit{E. S. Zeron}, Bull. Math. Biol. 70, No. 4, 1250 (2008; Zbl 1402.92184) Full Text: DOI
Santillán, Moisés; Zeronb, Eduardo S. Analytical study of the multiplicity of regulatory mechanisms in the tryptophan operon. (English) Zbl 1334.92162 Bull. Math. Biol. 68, No. 2, 343-359 (2006). MSC: 92C42 92C40 PDF BibTeX XML Cite \textit{M. Santillán} and \textit{E. S. Zeronb}, Bull. Math. Biol. 68, No. 2, 343--359 (2006; Zbl 1334.92162) Full Text: DOI
Bottasso, Carlo L.; Croce, Alessandro; Ghezzi, Luca; Faure, Paolo On the solution of inverse dynamics and trajectory optimization problems for multibody systems. (English) Zbl 1068.70011 Multibody Syst. Dyn. 11, No. 1, 1-22 (2004). MSC: 70E55 70Q05 PDF BibTeX XML Cite \textit{C. L. Bottasso} et al., Multibody Syst. Dyn. 11, No. 1, 1--22 (2004; Zbl 1068.70011) Full Text: DOI
Betts, J. T.; Biehn, N.; Campbell, S. L.; Huffman, W. P. Compensating for order variation in mesh refinement for direct transcription methods. II: Computational experience. (English) Zbl 1006.65088 J. Comput. Appl. Math. 143, No. 2, 237-261 (2002). Reviewer: Werner M.Seiler (Mannheim) MSC: 65L80 34A09 65K10 49J15 65L06 65L50 PDF BibTeX XML Cite \textit{J. T. Betts} et al., J. Comput. Appl. Math. 143, No. 2, 237--261 (2002; Zbl 1006.65088) Full Text: DOI
Betts, John T. Practical methods for optimal control using nonlinear programming. (English) Zbl 0995.49017 Advances in Design and Control. 3. Philadelphia, PA: SIAM. x, 190 p. (2001). Reviewer: Joseph Frédéric Bonnans (Le Chesnay) MSC: 49M37 90C30 65L50 PDF BibTeX XML Cite \textit{J. T. Betts}, Practical methods for optimal control using nonlinear programming. Philadelphia, PA: SIAM (2001; Zbl 0995.49017)
Betts, John T.; Biehn, Neil; Campbell, Stephen L.; Huffman, William P. Compensating for order variation in mesh refinement for direct transcription methods. (English) Zbl 0971.65075 J. Comput. Appl. Math. 125, No. 1-2, 147-158 (2000). Reviewer: Werner M.Seiler (Mannheim) MSC: 65L80 34A09 34A30 49J15 65L06 65L50 65K10 PDF BibTeX XML Cite \textit{J. T. Betts} et al., J. Comput. Appl. Math. 125, No. 1--2, 147--158 (2000; Zbl 0971.65075) Full Text: DOI
Boussaa, Djaffar Optimizing a compositionally graded interlayer to reduce thermal stresses in a coated tube. (English. Abridged French version) Zbl 1001.74093 C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. 328, No. 3, 209-215 (2000). MSC: 74P10 74F05 PDF BibTeX XML Cite \textit{D. Boussaa}, C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. 328, No. 3, 209--215 (2000; Zbl 1001.74093)
Betts, John T. Very low-thrust trajectory optimization using a direct SQP method. (English) Zbl 0970.65072 J. Comput. Appl. Math. 120, No. 1-2, 27-40 (2000). Reviewer: Ping-Qi Pan (Nanjing) MSC: 65K05 70M20 90B06 90C90 90C55 PDF BibTeX XML Cite \textit{J. T. Betts}, J. Comput. Appl. Math. 120, No. 1--2, 27--40 (2000; Zbl 0970.65072) Full Text: DOI
Betts, John T.; Cramer, Evin J. Application of direct transcription to commercial aircraft trajectory optimization. (English) Zbl 0826.93050 J. Guid. Control Dyn. 18, No. 1, 151-159 (1995). MSC: 93C95 90C30 90C90 90C20 PDF BibTeX XML Cite \textit{J. T. Betts} and \textit{E. J. Cramer}, J. Guid. Control Dyn. 18, No. 1, 151--159 (1995; Zbl 0826.93050) Full Text: DOI
Yang, Huijie; Zhuo, Yizhong; Wu, Xizhen Investigation of thermal denaturation of DNA molecules based on non-equilibrium transport approach. (English) Zbl 0838.92012 J. Phys. A, Math. Gen. 27, No. 18, 6147-6156 (1994). MSC: 92C40 82C70 PDF BibTeX XML Cite \textit{H. Yang} et al., J. Phys. A, Math. Gen. 27, No. 18, 6147--6156 (1994; Zbl 0838.92012) Full Text: DOI
Betts, John T. Trajectory optimization using sparse sequential quadratic programming. (English) Zbl 0794.49029 Bulirsch, R. (ed.) et al., Optimal control. Calculus of variations, optimal control theory and numerical methods. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 111, 115-128 (1993). MSC: 49M37 49J15 90C20 PDF BibTeX XML Cite \textit{J. T. Betts}, ISNM, Int. Ser. Numer. Math. 111, 115--128 (1993; Zbl 0794.49029)