Pakniyat, Ali; Caines, Peter E. The minimum principle of hybrid optimal control theory. (English) Zbl 07801140 Math. Control Signals Syst. 36, No. 1, 21-70 (2024). MSC: 93C30 93C10 49J20 PDFBibTeX XMLCite \textit{A. Pakniyat} and \textit{P. E. Caines}, Math. Control Signals Syst. 36, No. 1, 21--70 (2024; Zbl 07801140) Full Text: DOI
Margolis, Benjamin W. L. A sweeping gradient method for ordinary differential equations with events. (English) Zbl 1526.49017 J. Optim. Theory Appl. 199, No. 2, 600-638 (2023). MSC: 49K15 49K40 90C31 65K10 34H05 PDFBibTeX XMLCite \textit{B. W. L. Margolis}, J. Optim. Theory Appl. 199, No. 2, 600--638 (2023; Zbl 1526.49017) Full Text: DOI
Fu, Jun; Li, Huan Dynamic optimization of state-dependent switched systems with free switching sequences. (English) Zbl 1507.93113 Automatica 148, Article ID 110747, 12 p. (2023). MSC: 93C30 49J15 35Q93 PDFBibTeX XMLCite \textit{J. Fu} and \textit{H. Li}, Automatica 148, Article ID 110747, 12 p. (2023; Zbl 1507.93113) Full Text: DOI
Azhmyakov, Vadim; Fernández-Gutiérrez, Juan P.; Verriest, Erik I.; Pickl, Stefan W. A separation based optimization approach to dynamic maximal covering location problems with switched structure. (English) Zbl 1474.90247 J. Ind. Manag. Optim. 17, No. 2, 669-686 (2021). MSC: 90B80 90C10 90C30 PDFBibTeX XMLCite \textit{V. Azhmyakov} et al., J. Ind. Manag. Optim. 17, No. 2, 669--686 (2021; Zbl 1474.90247) Full Text: DOI
Liu, Chongyang; Loxton, Ryan; Lin, Qun; Teo, Kok Lay Dynamic optimization for switched time-delay systems with state-dependent switching conditions. (English) Zbl 1400.49042 SIAM J. Control Optim. 56, No. 5, 3499-3523 (2018). MSC: 49M37 34K34 65K10 PDFBibTeX XMLCite \textit{C. Liu} et al., SIAM J. Control Optim. 56, No. 5, 3499--3523 (2018; Zbl 1400.49042) Full Text: DOI
Blanchard, Eunice; Loxton, Ryan; Rehbock, Volker Dynamic optimization of dual-mode hybrid systems with state-dependent switching conditions. (English) Zbl 1390.49039 Optim. Methods Softw. 33, No. 2, 297-310 (2018). MSC: 49M37 65K10 90C30 92C50 PDFBibTeX XMLCite \textit{E. Blanchard} et al., Optim. Methods Softw. 33, No. 2, 297--310 (2018; Zbl 1390.49039) Full Text: DOI Link
Wu, Xiang; Zhang, Kanjian; Cheng, Ming Computational method for optimal control of switched systems with input and state constraints. (English) Zbl 1378.49033 Nonlinear Anal., Hybrid Syst. 26, 1-18 (2017). MSC: 49M30 PDFBibTeX XMLCite \textit{X. Wu} et al., Nonlinear Anal., Hybrid Syst. 26, 1--18 (2017; Zbl 1378.49033) Full Text: DOI
Goncharova, E. V.; Staritsyn, M. V. Optimal impulsive control problem with state and mixed constraints: the case of vector-valued measure. (English. Russian original) Zbl 1323.49022 Autom. Remote Control 76, No. 3, 377-384 (2015); translation from Avtom. Telemekh. 2015, No. 3, 13-21 (2015). MSC: 49N25 PDFBibTeX XMLCite \textit{E. V. Goncharova} and \textit{M. V. Staritsyn}, Autom. Remote Control 76, No. 3, 377--384 (2015; Zbl 1323.49022); translation from Avtom. Telemekh. 2015, No. 3, 13--21 (2015) Full Text: DOI
Zhao, Na; Lv, Jianfeng; Yang, Jinlin; Liu, Xinzhi Viability discrimination of a class of control systems on a nonsmooth region. (English) Zbl 1419.93006 Discrete Dyn. Nat. Soc. 2014, Article ID 127185, 6 p. (2014). MSC: 93B03 93C30 34A60 PDFBibTeX XMLCite \textit{N. Zhao} et al., Discrete Dyn. Nat. Soc. 2014, Article ID 127185, 6 p. (2014; Zbl 1419.93006) Full Text: DOI
Wu, Xiang; Zhang, Kanjian; Sun, Changyin Constrained optimal control of switched systems based on modified BFGS algorithm and filled function method. (English) Zbl 1304.49060 Int. J. Comput. Math. 91, No. 8, 1713-1729 (2014). MSC: 49M30 49J15 49K15 93C30 93C15 PDFBibTeX XMLCite \textit{X. Wu} et al., Int. J. Comput. Math. 91, No. 8, 1713--1729 (2014; Zbl 1304.49060) Full Text: DOI
Wu, Xiang; Zhang, Kanjian; Sun, Changyin Numerical algorithm for a class of constrained optimal control problems of switched systems. (English) Zbl 1306.65222 Numer. Algorithms 67, No. 4, 771-792 (2014). Reviewer: Bülent Karasözen (Ankara) MSC: 65K10 49J15 49M15 PDFBibTeX XMLCite \textit{X. Wu} et al., Numer. Algorithms 67, No. 4, 771--792 (2014; Zbl 1306.65222) Full Text: DOI
Coogan, Samuel; Arcak, Murat A computational approach to synthesizing guards for hybrid systems. (English) Zbl 1297.93100 Syst. Control Lett. 73, 25-32 (2014). MSC: 93C30 93B40 PDFBibTeX XMLCite \textit{S. Coogan} and \textit{M. Arcak}, Syst. Control Lett. 73, 25--32 (2014; Zbl 1297.93100) Full Text: DOI arXiv
Corona, Daniele; Giua, Alessandro; Seatzu, Carla Stabilization of switched systems via optimal control. (English) Zbl 1291.93278 Nonlinear Anal., Hybrid Syst. 11, 1-10 (2014). MSC: 93D21 93D30 93C30 49N10 PDFBibTeX XMLCite \textit{D. Corona} et al., Nonlinear Anal., Hybrid Syst. 11, 1--10 (2014; Zbl 1291.93278) 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
Margellos, Kostas; Lygeros, John Viable set computation for hybrid systems. (English) Zbl 1291.93122 Nonlinear Anal., Hybrid Syst. 10, 45-62 (2013). MSC: 93B40 93B28 49L25 90C39 47N10 PDFBibTeX XMLCite \textit{K. Margellos} and \textit{J. Lygeros}, Nonlinear Anal., Hybrid Syst. 10, 45--62 (2013; Zbl 1291.93122) Full Text: DOI arXiv
Lin, Qun; Loxton, Ryan; Teo, Kok Lay Optimal control of nonlinear switched systems: computational methods and applications. (English) Zbl 1277.49044 J. Oper. Res. Soc. China 1, No. 3, 275-311 (2013). MSC: 49M37 65K10 90C30 93C10 PDFBibTeX XMLCite \textit{Q. Lin} et al., J. Oper. Res. Soc. China 1, No. 3, 275--311 (2013; Zbl 1277.49044) Full Text: DOI
Verriest, Erik I. Pseudo-continuous multi-dimensional multi-mode systems: behavior, structure and optimal control. (English) Zbl 1242.93062 Discrete Event Dyn. Syst. 22, No. 1, 27-59 (2012). MSC: 93C30 93C35 93B10 93B25 49K15 PDFBibTeX XMLCite \textit{E. I. Verriest}, Discrete Event Dyn. Syst. 22, No. 1, 27--59 (2012; Zbl 1242.93062) Full Text: DOI
Goncharova, E. V.; Staritsyn, M. V. Time reparameterization in problems of optimal control of impulsive hybrid systems. (English. Russian original) Zbl 1270.49034 J. Comput. Syst. Sci. Int. 50, No. 3, 392-402 (2011); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2011, No. 3, 41-51 (2011). MSC: 49N25 93C30 93B17 PDFBibTeX XMLCite \textit{E. V. Goncharova} and \textit{M. V. Staritsyn}, J. Comput. Syst. Sci. Int. 50, No. 3, 392--402 (2011; Zbl 1270.49034); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2011, No. 3, 41--51 (2011) 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 PDFBibTeX XMLCite \textit{B. Li} et al., ANZIAM J. 51, No. 2, 162--177 (2009; Zbl 1203.49034) Full Text: DOI
Taringoo, Farzin; Caines, Peter E. The sensitivity of hybrid systems optimal cost functions with respect to switching manifold parameters. (English) Zbl 1237.49035 Majumdar, Rupak (ed.) et al., Hybrid systems: Computation and control. 12th international conference, HSCC 2009, San Francisco, CA, USA, April 13–15, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-00601-2/pbk). Lecture Notes in Computer Science 5469, 475-479 (2009). MSC: 49K40 93C30 PDFBibTeX XMLCite \textit{F. Taringoo} and \textit{P. E. Caines}, Lect. Notes Comput. Sci. 5469, 475--479 (2009; Zbl 1237.49035) Full Text: DOI
Axelsson, H.; Boccadoro, M.; Egerstedt, M.; Valigi, P.; Wardi, Y. Optimal mode-switching for hybrid systems with varying initial states. (English) Zbl 1215.49033 Nonlinear Anal., Hybrid Syst. 2, No. 3, 765-772 (2008). MSC: 49K35 49N35 93B52 49K40 34H05 PDFBibTeX XMLCite \textit{H. Axelsson} et al., Nonlinear Anal., Hybrid Syst. 2, No. 3, 765--772 (2008; Zbl 1215.49033) Full Text: DOI
Sanfelice, Ricardo G.; Goebel, Rafal; Teel, Andrew R. Generalized solutions to hybrid dynamical systems. (English) Zbl 1147.93032 ESAIM, Control Optim. Calc. Var. 14, No. 4, 699-724 (2008). MSC: 93C73 34A37 93C65 35B35 PDFBibTeX XMLCite \textit{R. G. Sanfelice} et al., ESAIM, Control Optim. Calc. Var. 14, No. 4, 699--724 (2008; Zbl 1147.93032) Full Text: DOI EuDML
Schild, Axel; Lunze, Jan Switching surface design for periodically operated discretely controlled continuous systems. (English) Zbl 1144.93315 Egerstedt, Magnus (ed.) et al., Hybrid systems: Computation and control. 11th international workshop, HSCC 2008, St. Louis, MO, USA, April 22–24, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-78928-4/pbk). Lecture Notes in Computer Science 4981, 471-485 (2008). MSC: 93B51 93C30 PDFBibTeX XMLCite \textit{A. Schild} and \textit{J. Lunze}, Lect. Notes Comput. Sci. 4981, 471--485 (2008; Zbl 1144.93315) Full Text: DOI
Boccadoro, M.; Wardi, Y.; Egerstedt, M.; Verriest, E. Optimal control of switching surfaces in hybrid dynamical systems. (English) Zbl 1101.93054 Discrete Event Dyn. Syst. 15, No. 4, 433-448 (2005). MSC: 93C85 PDFBibTeX XMLCite \textit{M. Boccadoro} et al., Discrete Event Dyn. Syst. 15, No. 4, 433--448 (2005; Zbl 1101.93054) Full Text: DOI