vom Ende, Frederik; Malvetti, Emanuel; Dirr, Gunther; Schulte-Herbrüggen, Thomas Exploring the limits of controlled Markovian quantum dynamics with thermal resources. (English) Zbl 1527.81070 Open Syst. Inf. Dyn. 30, No. 1, Article ID 2350005, 53 p. (2023). MSC: 81Q93 62M07 37A50 22A20 80A10 81S22 81P65 PDFBibTeX XMLCite \textit{F. vom Ende} et al., Open Syst. Inf. Dyn. 30, No. 1, Article ID 2350005, 53 p. (2023; Zbl 1527.81070) Full Text: DOI arXiv
Glöckner, Helge; Hilgert, Joachim Aspects of control theory on infinite-dimensional Lie groups and \(G\)-manifolds. (English) Zbl 1522.22008 J. Differ. Equations 343, 186-232 (2023). MSC: 22E65 34H05 93B27 93B03 93B25 PDFBibTeX XMLCite \textit{H. Glöckner} and \textit{J. Hilgert}, J. Differ. Equations 343, 186--232 (2023; Zbl 1522.22008) Full Text: DOI arXiv
Podobryaev, A. V. Attainable set for rank 3 step 2 free Carnot group with positive controls. arXiv:2203.02267 Preprint, arXiv:2203.02267 [math.OC] (2022). MSC: 93B03 49K15 35R03 22E25 20M05 BibTeX Cite \textit{A. V. Podobryaev}, ``Attainable set for rank 3 step 2 free Carnot group with positive controls'', Preprint, arXiv:2203.02267 [math.OC] (2022) Full Text: DOI arXiv OA License
Diez-Machío, H.; Clotet, J.; García-Planas, M. I.; Magret, M. D.; Montoro, M. E. Singular switched linear systems: some geometric aspects. (English) Zbl 1260.93070 Int. J. Mod. Phys. B 26, No. 25, Article ID 1246006, 10 p. (2012). MSC: 93C05 34C15 93C15 22E70 PDFBibTeX XMLCite \textit{H. Diez-Machío} et al., Int. J. Mod. Phys. B 26, No. 25, Article ID 1246006, 10 p. (2012; Zbl 1260.93070) Full Text: DOI
Lawson, Jimmie; Lim, Yongdo A Birkhoff contraction formula with applications to Riccati equations. (English) Zbl 1357.49132 SIAM J. Control Optim. 46, No. 3, 930-951 (2007). MSC: 49N10 93B03 22E15 PDFBibTeX XMLCite \textit{J. Lawson} and \textit{Y. Lim}, SIAM J. Control Optim. 46, No. 3, 930--951 (2007; Zbl 1357.49132) Full Text: DOI
Lawson, Jimmie; Lim, Yongdo The symplectic semigroup and Riccati differential equations. (English) Zbl 1118.49029 J. Dyn. Control Syst. 12, No. 1, 49-77 (2006). MSC: 49N10 93B27 93B03 22E15 PDFBibTeX XMLCite \textit{J. Lawson} and \textit{Y. Lim}, J. Dyn. Control Syst. 12, No. 1, 49--77 (2006; Zbl 1118.49029) Full Text: DOI
Gichev, V. M. Attainable sets for left invariant control systems and Carnot–Caratheodory metrics on nilpotent Lie groups. (English) Zbl 0984.22004 Vodop’yanov, S. K. (ed.), Proceedings on analysis and geometry. International conference in honor of the 70th birthday of Professor Yu. G. Reshetnyak, Novosibirsk, Russia, August 30-September 3, 1999. Novosibirsk: Izdatel’stvo Instituta Matematiki Im. S. L. Soboleva SO RAN. 173-185 (2000). MSC: 22E25 93B03 06F15 49N35 PDFBibTeX XMLCite \textit{V. M. Gichev}, in: Trudy po analizu i geometrii. Novosibirsk: Izdatel'stvo Instituta Matematiki Im. S. L. Soboleva SO RAN. 173--185 (2000; Zbl 0984.22004) Full Text: arXiv
Chae, Younki; Choi, Keunbae Reachable sets in Lie groups. (English) Zbl 1153.93326 Tsukuba J. Math. 21, No. 3, 763-772 (1997). MSC: 93B03 22E60 PDFBibTeX XMLCite \textit{Y. Chae} and \textit{K. Choi}, Tsukuba J. Math. 21, No. 3, 763--772 (1997; Zbl 1153.93326) Full Text: DOI
Mittenhuber, Dirk The classification of global Lie wedges in \({\mathfrak {sl}} (2)\). (English) Zbl 0848.22015 Manuscr. Math. 88, No. 4, 479-495 (1995). Reviewer: J.Hilgert (Clausthal) MSC: 22E15 22A15 PDFBibTeX XMLCite \textit{D. Mittenhuber}, Manuscr. Math. 88, No. 4, 479--495 (1995; Zbl 0848.22015) Full Text: DOI EuDML
Chae, Younki; Lim, Yongdo Non-overlapping control systems on Aff(R). (English) Zbl 0914.93007 Bull. Korean Math. Soc. 32, No. 2, 163-170 (1995). Reviewer: J.D.Lawson (Baton Rouge) MSC: 93B03 22E25 54H15 93B29 PDFBibTeX XMLCite \textit{Y. Chae} and \textit{Y. Lim}, Bull. Korean Math. Soc. 32, No. 2, 163--170 (1995; Zbl 0914.93007)
Mittenhuber, Dirk Semigroups in the simply connected covering of \(SL(2)\). (English) Zbl 0776.22001 Semigroup Forum 46, No. 3, 379-387 (1993). Reviewer: K.-H.Neeb (Darmstadt) MSC: 22A15 53B30 93B03 22E15 PDFBibTeX XMLCite \textit{D. Mittenhuber}, Semigroup Forum 46, No. 3, 379--387 (1993; Zbl 0776.22001) Full Text: DOI EuDML
Chon, I.; Lawson, J. D. Problems on semigroups and control. (English) Zbl 0707.93004 Semigroup Forum 41, No. 2, 245-252 (1990). Reviewer: J.Hilgert MSC: 93B03 93C25 22A15 PDFBibTeX XMLCite \textit{I. Chon} and \textit{J. D. Lawson}, Semigroup Forum 41, No. 2, 245--252 (1990; Zbl 0707.93004) Full Text: DOI EuDML
Cao, Li; Zheng, Yufan On the reachable semigroup of bilinear control systems on Lie group. (English) Zbl 0698.93039 Chin. Ann. Math., Ser. B 10, No. 4, 462-471 (1989). MSC: 93C10 58B25 22E65 PDFBibTeX XMLCite \textit{L. Cao} and \textit{Y. Zheng}, Chin. Ann. Math., Ser. B 10, No. 4, 462--471 (1989; Zbl 0698.93039)
Li, Cao; Zheng, Yu Fan Some topological properties of reachable semigroup of the systems on Lie group. (English) Zbl 0673.93030 Analysis and control of nonlinear systems, Sel. Pap. 8th Int. Symp. Math. Networks Syst., Phoenix/Ariz. 1987, 149-154 (1988). MSC: 93C10 93B25 22A15 22E99 93B03 PDFBibTeX XML
Crouch, P. E.; Byrnes, C. I. Local accessibility, local reachability, and representations of compact groups. (English) Zbl 0664.93006 Math. Syst. Theory 19, 43-65 (1986). Reviewer: A.Bacciotti MSC: 93B05 93B03 93C10 22C05 22E99 57R27 93C15 PDFBibTeX XMLCite \textit{P. E. Crouch} and \textit{C. I. Byrnes}, Math. Syst. Theory 19, 43--65 (1986; Zbl 0664.93006) Full Text: DOI
Crouch, P. E.; Byrnes, C. I. Symmetries and local controllability. (English) Zbl 0607.93010 Algebraic and geometric methods in nonlinear control theory, Proc. Conf., Paris 1985, Math. Appl., D. Reidel Publ. Co. 29, 55-75 (1986). Reviewer: A.Bacciotti MSC: 93B05 22E99 93C10 93B03 57R27 PDFBibTeX XML
Ghraiba, Mohamed Semi-groupes intégraux de SL(2,\({\mathbb{R}})\). Application à la théorie du contrôle. (Integral semigroups on SL(2,\({\mathbb{R}})\). Application to control theory). (French) Zbl 0602.93005 Publ. Dép. Math., Nouv. Sér., Univ. Claude Bernard, Lyon 3/A, 58-96 (1985). Reviewer: A.Bacciotti MSC: 93B05 93B03 93C10 22E99 PDFBibTeX XMLCite \textit{M. Ghraiba}, Publ. Dép. Math., Nouv. Sér., Univ. Claude Bernard, Lyon 3/A, 58--96 (1985; Zbl 0602.93005)
Silva Leite, M. F. On the uniform controllability of systems evolving on Lie groups. (English) Zbl 0591.93011 Geometric theory of nonlinear control systems, Int. Conf. Bierutowice/Pol. 1984, Pr. Nauk. Politech. Wrocław., Inst. Tech. Cybern. 70, Conf. 29, 207-218 (1985). Reviewer: Rosa Maria Bianchini (Firenze) MSC: 93B05 22E99 93B25 93B03 PDFBibTeX XML
Agrachev, A. A.; Vakhrameev, S. A.; Gamkrelidze, R. V. Differential-geometric and group-theoretical methods in optimal control theory. (English) Zbl 0558.93057 J. Sov. Math. 28, 145-182 (1985). MSC: 93C99 22E15 93C10 22E65 93B03 53C05 57R27 57R25 93B05 93C15 93D20 PDFBibTeX XMLCite \textit{A. A. Agrachev} et al., J. Sov. Math. 28, 145--182 (1985; Zbl 0558.93057) Full Text: DOI
Bonnard, Bernard Contrôlabilité de systèmes mécaniques sur les groupes de Lie. (French) Zbl 0549.93009 SIAM J. Control Optimization 22, 711-722 (1984). Reviewer: A.Bacciotti MSC: 93B05 70G45 93C10 93B03 70E15 57R27 22E99 PDFBibTeX XMLCite \textit{B. Bonnard}, SIAM J. Control Optim. 22, 711--722 (1984; Zbl 0549.93009) Full Text: DOI
Agrachev, A. A.; Vakhrameev, S. A.; Gamkrelidze, R. V. Differential-geometric and group-theoretic methods in the theory of optimal control. (Russian) Zbl 0542.93045 Itogi Nauki Tekh., Ser. Probl. Geom. 14, 3-56 (1983). Reviewer: K.Tchon MSC: 93C99 22E65 57R27 22E15 57R25 93C15 93B03 93B05 93D20 53C05 93C10 PDFBibTeX XML
Fliess, Michel; Kupka, Ivan A finiteness criterion for nonlinear input-output differential systems. (English) Zbl 0529.93031 SIAM J. Control Optimization 21, 721-728 (1983). MSC: 93C10 93B15 16W60 22E45 93B03 53B05 55R25 57R25 58A20 93B17 93C15 PDFBibTeX XMLCite \textit{M. Fliess} and \textit{I. Kupka}, SIAM J. Control Optim. 21, 721--728 (1983; Zbl 0529.93031) Full Text: DOI
Andreev, Yu. N. Differential-geometric methods in control theory. (English. Russian original) Zbl 0521.93003 Autom. Remote Control 43, 1231-1265 (1983); translation from Avtom. Telemekh. 1982, No. 10, 5-46 (1982). MSC: 93-02 17B99 93C10 22E60 93B03 57R27 37C80 93B05 93B07 93B15 93B20 93B35 93C15 93D15 34A34 PDFBibTeX XMLCite \textit{Yu. N. Andreev}, Autom. Remote Control 43, 1231--1265 (1982; Zbl 0521.93003); translation from Avtom. Telemekh. 1982, No. 10, 5--46 (1982)
Bonnard, B.; Jurdjevic, V.; Kupka, I.; Sallet, G. Transitivity of families of invariant vector fields on the semidirect products of Lie groups. (English) Zbl 0519.49023 Trans. Am. Math. Soc. 271, 525-535 (1982). MSC: 93B03 53A04 93B05 17B99 22E60 57R25 57R27 PDFBibTeX XMLCite \textit{B. Bonnard} et al., Trans. Am. Math. Soc. 271, 525--535 (1982; Zbl 0519.49023) Full Text: DOI
Sussmann, H. J. Time-optimal control in the plane. (English) Zbl 0516.93025 Feedback control of linear and nonlinear systems, Proc. Joint Workshop, Bielefeld/Rome 1981, Lect. Notes Contr. Inf. Sci. 39, 244-260 (1982). MSC: 93C10 93B03 93C15 22E99 57R27 93B05 PDFBibTeX XML
Bonnard, B. Contrôle de l’attitude d’un satellite rigide. (French) Zbl 0483.93022 RAIRO, Autom. Syst. Anal. Control 16, 85-93 (1982). MSC: 93B05 93C10 70M20 22E70 70G10 93B03 PDFBibTeX XMLCite \textit{B. Bonnard}, RAIRO, Autom. Syst. Anal. Control 16, 85--93 (1982; Zbl 0483.93022)
Jurdjevic, V.; Kupka, I. Control systems subordinated to a group action: Accessibility. (English) Zbl 0531.93008 J. Differ. Equations 39, 186-211 (1981). Reviewer: R.M.Bianchini MSC: 93B05 57R27 93B03 57R25 22E60 93C10 PDFBibTeX XMLCite \textit{V. Jurdjevic} and \textit{I. Kupka}, J. Differ. Equations 39, 186--211 (1981; Zbl 0531.93008) Full Text: DOI
Alekseev, N. K.; Rettiev, N. S. Dependence of a controllability set on a parameter. (English) Zbl 0401.49034 Differ. Equations 14, 1201-1202 (1978). MSC: 93B05 22E99 93B03 PDFBibTeX XMLCite \textit{N. K. Alekseev} and \textit{N. S. Rettiev}, Differ. Equations 14, 1201--1202 (1978; Zbl 0401.49034)
Alekseev, N. K.; Rettiev, N. S. Über die Abhängigkeit einer Regelungsmenge von einem Parameter. (Russian) Zbl 0389.49023 Differ. Uravn. 14, 1687-1688 (1978). MSC: 93B05 22E99 93B03 PDFBibTeX XMLCite \textit{N. K. Alekseev} and \textit{N. S. Rettiev}, Differ. Uravn. 14, 1687--1688 (1978; Zbl 0389.49023)