Antczak, Tadeusz; Treanţă, Savin Solving invex multitime control problems with first-order PDE constraints via the absolute value exact penalty method. (English) Zbl 07791483 Optim. Control Appl. Methods 44, No. 6, 3379-3395 (2023). MSC: 93C20 90C26 PDFBibTeX XMLCite \textit{T. Antczak} and \textit{S. Treanţă}, Optim. Control Appl. Methods 44, No. 6, 3379--3395 (2023; Zbl 07791483) Full Text: DOI
Wu, Hao; Wang, Kunsheng; Yiu, Ka-Fai Cedric An optimal PID tuning method for a two-link manipulator via an exact penalty function method. (English) Zbl 07759641 J. Ind. Manag. Optim. 19, No. 12, 8469-8482 (2023). MSC: 93B52 93C85 49J15 PDFBibTeX XMLCite \textit{H. Wu} et al., J. Ind. Manag. Optim. 19, No. 12, 8469--8482 (2023; Zbl 07759641) Full Text: DOI
Lv, Lu; Xiao, Long; Zou, Ruping; Wang, Wenhai; Chen, Shichao; Hui, Junpeng; Liu, Jiaqi; Liu, Xinggao A novel mesh discretization strategy for numerical solution of optimal control problems in aerospace engineering. (English) Zbl 07742756 J. Franklin Inst. 360, No. 14, 10433-10456 (2023). MSC: 65Kxx 49Mxx 76-XX PDFBibTeX XMLCite \textit{L. Lv} et al., J. Franklin Inst. 360, No. 14, 10433--10456 (2023; Zbl 07742756) Full Text: DOI
Liu, Chongyang; Yu, Changjun; Gong, Zhaohua; Cheong, Huey Tyng; Teo, Kok Lay Numerical computation of optimal control problems with Atangana-Baleanu fractional derivatives. (English) Zbl 1518.49037 J. Optim. Theory Appl. 197, No. 2, 798-816 (2023). MSC: 49M37 65K10 90C55 PDFBibTeX XMLCite \textit{C. Liu} et al., J. Optim. Theory Appl. 197, No. 2, 798--816 (2023; Zbl 1518.49037) Full Text: DOI
Wang, Song; Li, Wen; Liu, Chongyang On necessary optimality conditions and exact penalization for a constrained fractional optimal control problem. (English) Zbl 07754122 Optim. Control Appl. Methods 43, No. 4, 1096-1108 (2022). MSC: 49J15 34A08 PDFBibTeX XMLCite \textit{S. Wang} et al., Optim. Control Appl. Methods 43, No. 4, 1096--1108 (2022; Zbl 07754122) Full Text: DOI
Yu, Changjun; Yuan, Lei; Su, Shuxuan A new gradient computational formula for optimal control problems with time-delay. (English) Zbl 1524.49041 J. Ind. Manag. Optim. 18, No. 4, 2469-2482 (2022). MSC: 49K21 PDFBibTeX XMLCite \textit{C. Yu} et al., J. Ind. Manag. Optim. 18, No. 4, 2469--2482 (2022; Zbl 1524.49041) Full Text: DOI
Fathi, Z.; Bidabad, B.; Najafpour, M. An exact penalty function method for optimal control of a Dubins airplane in the presence of moving obstacles. (English) Zbl 1496.49003 Optim. Lett. 16, No. 4, 1197-1213 (2022). Reviewer: Uwe Prüfert (Freiberg) MSC: 49J10 PDFBibTeX XMLCite \textit{Z. Fathi} et al., Optim. Lett. 16, No. 4, 1197--1213 (2022; Zbl 1496.49003) Full Text: DOI
Teng, Jiao; An, Yi; Wang, Lei Time-optimal control problem for a linear parameter varying system with nonlinear item. (English) Zbl 1481.93048 J. Franklin Inst. 359, No. 2, 859-869 (2022). MSC: 93C05 49J15 90C59 PDFBibTeX XMLCite \textit{J. Teng} et al., J. Franklin Inst. 359, No. 2, 859--869 (2022; Zbl 1481.93048) Full Text: DOI
Fominyh, A. V. The quasidifferential descent method in a control problem with nonsmooth objective functional. (English) Zbl 1478.49012 Optim. Lett. 15, No. 8, 2773-2792 (2021). MSC: 49J52 PDFBibTeX XMLCite \textit{A. V. Fominyh}, Optim. Lett. 15, No. 8, 2773--2792 (2021; Zbl 1478.49012) Full Text: DOI
Liu, Chongyang; Gong, Zhaohua; Teo, Kok Lay; Wang, Song Modelling and optimal state-delay control in microbial batch process. (English) Zbl 1481.92088 Appl. Math. Modelling 89, Part 1, 792-801 (2021). MSC: 92C99 49N90 PDFBibTeX XMLCite \textit{C. Liu} et al., Appl. Math. Modelling 89, Part 1, 792--801 (2021; Zbl 1481.92088) Full Text: DOI
Hammoudi, Abdelwahhab; Benharrat, Mohammed An exact penalty method for constrained optimal control problems. (English) Zbl 1462.49007 Rend. Circ. Mat. Palermo (2) 70, No. 1, 275-293 (2021). Reviewer: Sorin-Mihai Grad (Wien) MSC: 49J15 93C10 49J52 PDFBibTeX XMLCite \textit{A. Hammoudi} and \textit{M. Benharrat}, Rend. Circ. Mat. Palermo (2) 70, No. 1, 275--293 (2021; Zbl 1462.49007) Full Text: DOI
Fu, Jun; Tian, Fangyin Dynamic optimization of nonlinear systems with guaranteed feasibility of inequality-path-constraints. (English) Zbl 1464.90111 Automatica 127, Article ID 109516, 8 p. (2021). MSC: 90C39 90C34 PDFBibTeX XMLCite \textit{J. Fu} and \textit{F. Tian}, Automatica 127, Article ID 109516, 8 p. (2021; Zbl 1464.90111) Full Text: DOI
Niu, Teng; Zhai, Jingang; Yin, Hongchao; Feng, Enmin; Liu, Chongyang; Xiu, Zhilong Multi-objective optimisation of nonlinear switched systems in uncoupled fed-batch fermentation. (English) Zbl 1483.93257 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 10, 1798-1813 (2020). MSC: 93C30 93C10 90C29 92C75 PDFBibTeX XMLCite \textit{T. Niu} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 10, 1798--1813 (2020; Zbl 1483.93257) Full Text: DOI
Lee, H. W. J.; Lee, Y. C. E.; Wong, Kar Hung Differential equation approximation and enhancing control method for finding the PID gain of a quarter-car suspension model with state-dependent ODE. (English) Zbl 1476.49035 J. Ind. Manag. Optim. 16, No. 5, 2305-2330 (2020). MSC: 49M15 65M60 35Q92 PDFBibTeX XMLCite \textit{H. W. J. Lee} et al., J. Ind. Manag. Optim. 16, No. 5, 2305--2330 (2020; Zbl 1476.49035) Full Text: DOI
Zhang, Ning; Yu, Chang-Jun; Xie, Fu-Sheng The time-scaling transformation technique for optimal control problems with time-varying time-delay switched systems. (English) Zbl 1474.90456 J. Oper. Res. Soc. China 8, No. 4, 581-600 (2020). MSC: 90C30 49M37 PDFBibTeX XMLCite \textit{N. Zhang} et al., J. Oper. Res. Soc. China 8, No. 4, 581--600 (2020; Zbl 1474.90456) Full Text: DOI
He, Suqin; Hu, Chuxiong; Zhu, Yu; Tomizuka, Masayoshi Time optimal control of triple integrator with input saturation and full state constraints. (English) Zbl 1451.49011 Automatica 122, Article ID 109240, 9 p. (2020). MSC: 49J30 PDFBibTeX XMLCite \textit{S. He} et al., Automatica 122, Article ID 109240, 9 p. (2020; Zbl 1451.49011) Full Text: DOI
Molloy, Timothy L.; Ford, Jason J.; Perez, Tristan Online inverse optimal control for control-constrained discrete-time systems on finite and infinite horizons. (English) Zbl 1448.93185 Automatica 120, Article ID 109109, 8 p. (2020). MSC: 93C55 93C10 49J05 PDFBibTeX XMLCite \textit{T. L. Molloy} et al., Automatica 120, Article ID 109109, 8 p. (2020; Zbl 1448.93185) Full Text: DOI arXiv
Yang, Liu; Tong, Xiaojiao; Xiong, Yao; Shen, Feifei A smoothing SAA algorithm for a portfolio choice model based on second-order stochastic dominance measures. (English) Zbl 1449.90273 J. Ind. Manag. Optim. 16, No. 3, 1171-1185 (2020). MSC: 90C15 90C05 90C30 91G10 PDFBibTeX XMLCite \textit{L. Yang} et al., J. Ind. Manag. Optim. 16, No. 3, 1171--1185 (2020; Zbl 1449.90273) Full Text: DOI
Pang, Bo; Jiang, Zhong-Ping; Mareels, Iven Reinforcement learning for adaptive optimal control of continuous-time linear periodic systems. (English) Zbl 1447.93177 Automatica 118, Article ID 109035, 8 p. (2020). MSC: 93C40 93C05 49J15 PDFBibTeX XMLCite \textit{B. Pang} et al., Automatica 118, Article ID 109035, 8 p. (2020; Zbl 1447.93177) Full Text: DOI
Jiang, Canghua; Guo, Zhiqiang; Li, Xin; Wang, Hai; Yu, Ming An efficient adjoint computational method based on lifted IRK integrator and exact penalty function for optimal control problems involving continuous inequality constraints. (English) Zbl 1434.65205 Discrete Contin. Dyn. Syst., Ser. S 13, No. 6, 1845-1865 (2020). MSC: 65M70 49M15 90C30 PDFBibTeX XMLCite \textit{C. Jiang} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 6, 1845--1865 (2020; Zbl 1434.65205) Full Text: DOI
Li, Bin; Guo, Xiaolong; Zeng, Xiaodong; Dian, Songyi; Guo, Minhua An optimal PID tuning method for a single-link manipulator based on the control parametrization technique. (English) Zbl 1444.90112 Discrete Contin. Dyn. Syst., Ser. S 13, No. 6, 1813-1823 (2020). MSC: 90C30 PDFBibTeX XMLCite \textit{B. Li} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 6, 1813--1823 (2020; Zbl 1444.90112) Full Text: DOI
Liu, Chongyang; Han, Meijia Time-delay optimal control of a fed-batch production involving multiple feeds. (English) Zbl 1439.49009 Discrete Contin. Dyn. Syst., Ser. S 13, No. 6, 1697-1709 (2020). MSC: 49J21 49M37 34K34 PDFBibTeX XMLCite \textit{C. Liu} and \textit{M. Han}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 6, 1697--1709 (2020; Zbl 1439.49009) Full Text: DOI
Yu, Changjun; Wang, Yujing; Li, Linna Smoothing spline via optimal control under uncertainty. (English) Zbl 1480.49029 Appl. Math. Modelling 58, 203-216 (2018). MSC: 49M20 41A15 PDFBibTeX XMLCite \textit{C. Yu} et al., Appl. Math. Modelling 58, 203--216 (2018; Zbl 1480.49029) Full Text: DOI
Fominyh, A. V.; Karelin, V. V.; Polyakova, L. N. Application of the hypodifferential descent method to the problem of constructing an optimal control. (English) Zbl 1414.49025 Optim. Lett. 12, No. 8, 1825-1839 (2018). MSC: 49K15 49J52 PDFBibTeX XMLCite \textit{A. V. Fominyh} et al., Optim. Lett. 12, No. 8, 1825--1839 (2018; Zbl 1414.49025) Full Text: DOI
Dolgopolik, M. V. A unified approach to the global exactness of penalty and augmented Lagrangian functions. II: Extended exactness. (English) Zbl 1461.65144 J. Optim. Theory Appl. 176, No. 3, 745-762 (2018). MSC: 65K05 90C30 90C22 PDFBibTeX XMLCite \textit{M. V. Dolgopolik}, J. Optim. Theory Appl. 176, No. 3, 745--762 (2018; Zbl 1461.65144) Full Text: DOI arXiv
Dolgopolik, Maksim V. Smooth exact penalty functions. II: A reduction to standard exact penalty functions. (English) Zbl 1379.90037 Optim. Lett. 10, No. 7, 1541-1560 (2016). MSC: 90C30 PDFBibTeX XMLCite \textit{M. V. Dolgopolik}, Optim. Lett. 10, No. 7, 1541--1560 (2016; Zbl 1379.90037) Full Text: DOI arXiv
Dolgopolik, M. V. A unifying theory of exactness of linear penalty functions. (English) Zbl 1341.65021 Optimization 65, No. 6, 1167-1202 (2016). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{M. V. Dolgopolik}, Optimization 65, No. 6, 1167--1202 (2016; Zbl 1341.65021) Full Text: DOI arXiv
Dolgopolik, Maksim V. Smooth exact penalty functions: a general approach. (English) Zbl 1349.90762 Optim. Lett. 10, No. 3, 635-648 (2016). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 90C30 PDFBibTeX XMLCite \textit{M. V. Dolgopolik}, Optim. Lett. 10, No. 3, 635--648 (2016; Zbl 1349.90762) Full Text: DOI arXiv
Malisani, P.; Chaplais, F.; Petit, N. An interior penalty method for optimal control problems with state and input constraints of nonlinear systems. (English) Zbl 1336.49038 Optim. Control Appl. Methods 37, No. 1, 3-33 (2016). MSC: 49M30 90C51 93C10 93C35 PDFBibTeX XMLCite \textit{P. Malisani} et al., Optim. Control Appl. Methods 37, No. 1, 3--33 (2016; Zbl 1336.49038) Full Text: DOI
Yang, Feng; Teo, Kok Lay; Loxton, Ryan; Rehbock, Volker; Li, Bin; Yu, Changjun; Jennings, Leslie Visual MISER: an efficient user-friendly visual program for solving optimal control problems. (English) Zbl 1325.49038 J. Ind. Manag. Optim. 12, No. 2, 781-810 (2016). MSC: 49M37 49M25 65K05 90C30 PDFBibTeX XMLCite \textit{F. Yang} et al., J. Ind. Manag. Optim. 12, No. 2, 781--810 (2016; Zbl 1325.49038) Full Text: DOI
Wang, Fengjun; Zhang, Qingling; Li, Bin; Liu, Wanquan Optimal investment strategy on advertisement in duopoly. (English) Zbl 1406.91248 J. Ind. Manag. Optim. 12, No. 2, 625-636 (2016). MSC: 91B54 90B60 PDFBibTeX XMLCite \textit{F. Wang} et al., J. Ind. Manag. Optim. 12, No. 2, 625--636 (2016; Zbl 1406.91248) Full Text: DOI
Gong, Zhaohua; Teo, Kok Lay; Liu, Chongyang; Feng, Enmin Horizontal well’s path planning: an optimal switching control approach. (English) Zbl 1443.49044 Appl. Math. Modelling 39, No. 14, 4022-4032 (2015). MSC: 49N90 PDFBibTeX XMLCite \textit{Z. Gong} et al., Appl. Math. Modelling 39, No. 14, 4022--4032 (2015; Zbl 1443.49044) Full Text: DOI
Fu, Jun; Faust, Johannes M. M.; Chachuat, Benoît; Mitsos, Alexander Local optimization of dynamic programs with guaranteed satisfaction of path constraints. (English) Zbl 1330.49036 Automatica 62, 184-192 (2015). MSC: 49M37 90C30 90C34 90C39 PDFBibTeX XMLCite \textit{J. Fu} et al., Automatica 62, 184--192 (2015; Zbl 1330.49036) Full Text: DOI Link
Sun, Songtao; Zhang, Qiuhua; Loxton, Ryan; Li, Bin Numerical solution of a pursuit-evasion differential game involving two spacecraft in low earth orbit. (English) Zbl 1315.49015 J. Ind. Manag. Optim. 11, No. 4, 1127-1147 (2015). MSC: 49M37 49N75 49N90 91-08 91A05 91A25 PDFBibTeX XMLCite \textit{S. Sun} et al., J. Ind. Manag. Optim. 11, No. 4, 1127--1147 (2015; Zbl 1315.49015) Full Text: DOI
Gao, Xiangyu; Zhang, Xian; Wang, Yantao A simple exact penalty function method for optimal control problem with continuous inequality constraints. (English) Zbl 1474.49067 Abstr. Appl. Anal. 2014, Article ID 752854, 12 p. (2014). MSC: 49M37 49M05 65K10 PDFBibTeX XMLCite \textit{X. Gao} et al., Abstr. Appl. Anal. 2014, Article ID 752854, 12 p. (2014; Zbl 1474.49067) Full Text: DOI
Harris, Matthew W.; Açıkmeşe, Behçet Lossless convexification of non-convex optimal control problems for state constrained linear systems. (English) Zbl 1297.49045 Automatica 50, No. 9, 2304-2311 (2014). MSC: 49M20 90C51 90C25 PDFBibTeX XMLCite \textit{M. W. Harris} and \textit{B. Açıkmeşe}, Automatica 50, No. 9, 2304--2311 (2014; Zbl 1297.49045) Full Text: DOI
Lin, Qun; Loxton, Ryan; Teo, Kok Lay The control parameterization method for nonlinear optimal control: a survey. (English) Zbl 1276.49025 J. Ind. Manag. Optim. 10, No. 1, 275-309 (2014). MSC: 49M37 65K10 65P99 90C30 93C15 PDFBibTeX XMLCite \textit{Q. Lin} et al., J. Ind. Manag. Optim. 10, No. 1, 275--309 (2014; Zbl 1276.49025) Full Text: DOI
Yu, Changjun; Li, Bin; Loxton, Ryan; Teo, Kok Lay Optimal discrete-valued control computation. (English) Zbl 1272.49067 J. Glob. Optim. 56, No. 2, 503-518 (2013). MSC: 49M30 PDFBibTeX XMLCite \textit{C. Yu} et al., J. Glob. Optim. 56, No. 2, 503--518 (2013; Zbl 1272.49067) Full Text: DOI Link
Wong, K. H.; Lee, H. W. J.; Chan, C. K.; Myburgh, C. Control parametrization and finite element method for controlling multi-species reactive transport in an underground channel. (English) Zbl 1266.49057 J. Optim. Theory Appl. 157, No. 1, 168-187 (2013). MSC: 49M25 49N90 90C31 90C90 92D40 PDFBibTeX XMLCite \textit{K. H. Wong} et al., J. Optim. Theory Appl. 157, No. 1, 168--187 (2013; Zbl 1266.49057) Full Text: DOI