De Nitti, Nicola; Zuazua, Enrique On the controllability of entropy solutions of scalar conservation laws at a junction via Lyapunov methods. (English) Zbl 1506.35123 Vietnam J. Math. 51, No. 1, 71-88 (2023). MSC: 35L65 35R02 90B20 93B05 PDF BibTeX XML Cite \textit{N. De Nitti} and \textit{E. Zuazua}, Vietnam J. Math. 51, No. 1, 71--88 (2023; Zbl 1506.35123) Full Text: DOI OpenURL
Li, Qiongyuan; Shang, Peipei Controllability for a highly re-entrant manufacturing system with local and nonlocal velocity. (English) Zbl 1497.93019 Eur. J. Control 67, Article ID 100716, 12 p. (2022). MSC: 93B05 93C20 35L65 PDF BibTeX XML Cite \textit{Q. Li} and \textit{P. Shang}, Eur. J. Control 67, Article ID 100716, 12 p. (2022; Zbl 1497.93019) Full Text: DOI OpenURL
Andreianov, Boris; Ghoshal, Shyam Sundar; Koumatos, Konstantinos Lack of controllability of the viscous Burgers equation. I: the \(\mathrm{L}^{\infty}\) setting. (English) Zbl 1497.93012 J. Evol. Equ. 22, No. 3, Paper No. 70, 24 p. (2022). MSC: 93B05 35L65 35D30 47J35 PDF BibTeX XML Cite \textit{B. Andreianov} et al., J. Evol. Equ. 22, No. 3, Paper No. 70, 24 p. (2022; Zbl 1497.93012) Full Text: DOI OpenURL
Ancona, Fabio; Nguyen, Khai T. On the global controllability of scalar conservation laws with boundary and source controls. (English) Zbl 1479.35561 SIAM J. Control Optim. 59, No. 6, 4314-4338 (2021). MSC: 35L65 93B05 93C20 PDF BibTeX XML Cite \textit{F. Ancona} and \textit{K. T. Nguyen}, SIAM J. Control Optim. 59, No. 6, 4314--4338 (2021; Zbl 1479.35561) Full Text: DOI arXiv OpenURL
Bayen, Alexandre; Coron, Jean-Michel; De Nitti, Nicola; Keimer, Alexander; Pflug, Lukas Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model. (English) Zbl 1471.35197 Vietnam J. Math. 49, No. 3, 957-985 (2021). MSC: 35L65 35L02 35L04 35L60 76A30 93C20 93B05 PDF BibTeX XML Cite \textit{A. Bayen} et al., Vietnam J. Math. 49, No. 3, 957--985 (2021; Zbl 1471.35197) Full Text: DOI OpenURL
Ancona, Fabio; Cesaroni, Annalisa; Coclite, Giuseppe M.; Garavello, Mauro On optimization of traffic flow performance for conservation laws on networks. (English) Zbl 1470.35229 Minimax Theory Appl. 6, No. 2, 205-226 (2021). MSC: 35L65 35D30 35L45 35Q93 35R02 76A30 PDF BibTeX XML Cite \textit{F. Ancona} et al., Minimax Theory Appl. 6, No. 2, 205--226 (2021; Zbl 1470.35229) Full Text: Link OpenURL
Coron, Jean-Michel; Xiang, Shengquan Small-time global stabilization of the viscous Burgers equation with three scalar controls. (English. French summary) Zbl 1467.93249 J. Math. Pures Appl. (9) 151, 212-256 (2021). MSC: 93D15 93D20 93C20 35K55 PDF BibTeX XML Cite \textit{J.-M. Coron} and \textit{S. Xiang}, J. Math. Pures Appl. (9) 151, 212--256 (2021; Zbl 1467.93249) Full Text: DOI HAL OpenURL
Colombo, Rinaldo M.; Perrollaz, Vincent Initial data identification in conservation laws and Hamilton-Jacobi equations. (English. French summary) Zbl 1439.35128 J. Math. Pures Appl. (9) 138, 1-27 (2020). MSC: 35F21 35L65 93B30 35R30 35D40 PDF BibTeX XML Cite \textit{R. M. Colombo} and \textit{V. Perrollaz}, J. Math. Pures Appl. (9) 138, 1--27 (2020; Zbl 1439.35128) Full Text: DOI arXiv OpenURL
Chu, Jixun; Shang, Peipei; Wang, Zhiqiang Controllability and stabilization of a conservation law modeling a highly re-entrant manufacturing system. (English) Zbl 1427.35300 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111577, 19 p. (2019). MSC: 35Q93 93B05 93D15 93C20 PDF BibTeX XML Cite \textit{J. Chu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111577, 19 p. (2019; Zbl 1427.35300) Full Text: DOI OpenURL
Donadello, Carlotta; Perrollaz, Vincent Exact controllability to trajectories for entropy solutions to scalar conservation laws in several space dimensions. (Contrôlabilité exacte aux trajectoires pour des lois de conservation scalaires multidimensionnelles.) (English. French summary) Zbl 1414.93034 C. R., Math., Acad. Sci. Paris 357, No. 3, 263-271 (2019). MSC: 93B05 93C20 35L65 PDF BibTeX XML Cite \textit{C. Donadello} and \textit{V. Perrollaz}, C. R., Math., Acad. Sci. Paris 357, No. 3, 263--271 (2019; Zbl 1414.93034) Full Text: DOI arXiv OpenURL
Bastin, Georges; Coron, Jean-Michel; Hayat, Amaury; Shang, Peipei Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation. (English) Zbl 1418.35265 Math. Models Methods Appl. Sci. 29, No. 2, 271-316 (2019). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35L67 35L02 93D15 PDF BibTeX XML Cite \textit{G. Bastin} et al., Math. Models Methods Appl. Sci. 29, No. 2, 271--316 (2019; Zbl 1418.35265) Full Text: DOI OpenURL
Li, Tatsien; Yu, Lei Local exact one-sided boundary null controllability of entropy solutions to a class of hyperbolic systems of balance laws. (English) Zbl 1411.35202 SIAM J. Control Optim. 57, No. 1, 610-632 (2019). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35L65 35L60 93B05 35L50 PDF BibTeX XML Cite \textit{T. Li} and \textit{L. Yu}, SIAM J. Control Optim. 57, No. 1, 610--632 (2019; Zbl 1411.35202) Full Text: DOI arXiv OpenURL
Li, Tatsien; Yu, Lei Local exact boundary controllability of entropy solutions to linearly degenerate quasilinear hyperbolic systems of conservation laws. (English) Zbl 1403.93042 ESAIM, Control Optim. Calc. Var. 24, No. 2, 793-810 (2018). MSC: 93B05 35L60 93C05 93C20 PDF BibTeX XML Cite \textit{T. Li} and \textit{L. Yu}, ESAIM, Control Optim. Calc. Var. 24, No. 2, 793--810 (2018; Zbl 1403.93042) Full Text: DOI OpenURL
Ancona, Fabio; Cesaroni, Annalisa; Coclite, Giuseppe M.; Garavello, Mauro On the optimization of conservation law models at a junction with inflow and flow distribution controls. (English) Zbl 1403.35166 SIAM J. Control Optim. 56, No. 5, 3370-3403 (2018). MSC: 35L65 35F25 90B20 35Q93 35R02 35D30 PDF BibTeX XML Cite \textit{F. Ancona} et al., SIAM J. Control Optim. 56, No. 5, 3370--3403 (2018; Zbl 1403.35166) Full Text: DOI arXiv OpenURL
Göttlich, Simone; Schillen, Peter Numerical feedback stabilization with applications to networks. (English) Zbl 1370.93214 Discrete Dyn. Nat. Soc. 2017, Article ID 6896153, 11 p. (2017). MSC: 93D15 93C05 93C55 PDF BibTeX XML Cite \textit{S. Göttlich} and \textit{P. Schillen}, Discrete Dyn. Nat. Soc. 2017, Article ID 6896153, 11 p. (2017; Zbl 1370.93214) Full Text: DOI OpenURL
Andreianov, Boris P.; Donadello, Carlotta; Marson, Andrea On the attainable set for a scalar nonconvex conservation law. (English) Zbl 1373.35326 SIAM J. Control Optim. 55, No. 4, 2235-2270 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q93 35L65 PDF BibTeX XML Cite \textit{B. P. Andreianov} et al., SIAM J. Control Optim. 55, No. 4, 2235--2270 (2017; Zbl 1373.35326) Full Text: DOI OpenURL
Chen, Wenbin; Liu, Chang; Wang, Zhiqiang Global feedback stabilization for a class of nonlocal transport equations: the continuous and discrete case. (English) Zbl 1368.35177 SIAM J. Control Optim. 55, No. 2, 760-784 (2017). MSC: 35L65 93C20 93D15 65M12 PDF BibTeX XML Cite \textit{W. Chen} et al., SIAM J. Control Optim. 55, No. 2, 760--784 (2017; Zbl 1368.35177) Full Text: DOI OpenURL
Li, Tatsien; Yu, Lei One-sided exact boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws. (English. French summary) Zbl 1368.35180 J. Math. Pures Appl. (9) 107, No. 1, 1-40 (2017). MSC: 35L65 35L60 93B05 PDF BibTeX XML Cite \textit{T. Li} and \textit{L. Yu}, J. Math. Pures Appl. (9) 107, No. 1, 1--40 (2017; Zbl 1368.35180) Full Text: DOI OpenURL
Corghi, Marco; Marson, Andrea On the attainable set for scalar balance laws with distributed control. (English) Zbl 1335.35155 ESAIM, Control Optim. Calc. Var. 22, No. 1, 236-266 (2016). MSC: 35L65 35Q93 PDF BibTeX XML Cite \textit{M. Corghi} and \textit{A. Marson}, ESAIM, Control Optim. Calc. Var. 22, No. 1, 236--266 (2016; Zbl 1335.35155) Full Text: DOI OpenURL
Hu, Long; Wang, Zhiqiang On boundary control of a hyperbolic system with a vanishing characteristic speed. (English) Zbl 1336.93031 ESAIM, Control Optim. Calc. Var. 22, No. 1, 134-147 (2016). MSC: 93B05 93D15 35L04 93C20 93D20 93B60 PDF BibTeX XML Cite \textit{L. Hu} and \textit{Z. Wang}, ESAIM, Control Optim. Calc. Var. 22, No. 1, 134--147 (2016; Zbl 1336.93031) Full Text: DOI Link OpenURL
Lecaros, Rodrigo; Zuazua, Enrique Control of 2D scalar conservation laws in the presence of shocks. (English) Zbl 1336.35239 Math. Comput. 85, No. 299, 1183-1224 (2016). MSC: 35L67 49J20 90C31 49M30 35L65 35Q93 65M06 PDF BibTeX XML Cite \textit{R. Lecaros} and \textit{E. Zuazua}, Math. Comput. 85, No. 299, 1183--1224 (2016; Zbl 1336.35239) Full Text: DOI Link OpenURL
Andreianov, Boris; Donadello, Carlotta; Ghoshal, Shyam Sundar; Razafison, Ulrich On the attainable set for a class of triangular systems of conservation laws. (English) Zbl 1336.35231 J. Evol. Equ. 15, No. 3, 503-532 (2015). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35R30 47J35 PDF BibTeX XML Cite \textit{B. Andreianov} et al., J. Evol. Equ. 15, No. 3, 503--532 (2015; Zbl 1336.35231) Full Text: DOI HAL OpenURL
Pfaff, Sebastian; Ulbrich, Stefan Optimal boundary control of nonlinear hyperbolic conservation laws with switched boundary data. (English) Zbl 1318.49043 SIAM J. Control Optim. 53, No. 3, 1250-1277 (2015). MSC: 49K20 35L65 49J50 35R05 PDF BibTeX XML Cite \textit{S. Pfaff} and \textit{S. Ulbrich}, SIAM J. Control Optim. 53, No. 3, 1250--1277 (2015; Zbl 1318.49043) Full Text: DOI Link OpenURL
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa Exact controllability of scalar conservation laws with strict convex flux. (English) Zbl 1310.35232 Math. Control Relat. Fields 4, No. 4, 401-449 (2014). MSC: 35Q93 35L65 PDF BibTeX XML Cite \textit{Adimurthi} et al., Math. Control Relat. Fields 4, No. 4, 401--449 (2014; Zbl 1310.35232) Full Text: DOI OpenURL
Adimurthi; Sundar Ghoshal, Shyam; Veerappa Gowda, G. D. Optimal controllability for scalar conservation laws with convex flux. (English) Zbl 1311.35151 J. Hyperbolic Differ. Equ. 11, No. 3, 477-491 (2014). Reviewer: Yuanyuan Ke (Beijing) MSC: 35L65 49J20 49M30 93B05 PDF BibTeX XML Cite \textit{Adimurthi} et al., J. Hyperbolic Differ. Equ. 11, No. 3, 477--491 (2014; Zbl 1311.35151) Full Text: DOI OpenURL
Marbach, Frédéric Small time global null controllability for a viscous Burgers’ equation despite the presence of a boundary layer. (English) Zbl 1291.93043 J. Math. Pures Appl. (9) 102, No. 2, 364-384 (2014). MSC: 93B05 93C20 35Q53 PDF BibTeX XML Cite \textit{F. Marbach}, J. Math. Pures Appl. (9) 102, No. 2, 364--384 (2014; Zbl 1291.93043) Full Text: DOI arXiv OpenURL
Glass, Olivier On the controllability of the non-isentropic 1-D Euler equation. (English) Zbl 1293.35227 J. Differ. Equations 257, No. 3, 638-719 (2014). MSC: 35Q31 35Q93 93B05 76N15 35D30 PDF BibTeX XML Cite \textit{O. Glass}, J. Differ. Equations 257, No. 3, 638--719 (2014; Zbl 1293.35227) Full Text: DOI arXiv OpenURL
Perrollaz, Vincent Asymptotic stabilization of entropy solutions to scalar conservation laws through a stationary feedback law. (English) Zbl 1417.93270 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 5, 879-915 (2013). MSC: 93D20 93C20 93B52 PDF BibTeX XML Cite \textit{V. Perrollaz}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 5, 879--915 (2013; Zbl 1417.93270) Full Text: DOI OpenURL
Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika Well-posedness of networked hyperbolic systems of balance laws. (English) Zbl 1356.49004 Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 123-146 (2012). MSC: 49J20 49K40 35L65 49N90 PDF BibTeX XML Cite \textit{M. Gugat} et al., ISNM, Int. Ser. Numer. Math. 160, 123--146 (2012; Zbl 1356.49004) Full Text: DOI OpenURL
Coron, Jean-Michel; Wang, Zhiqiang Controllability for a scalar conservation law with nonlocal velocity. (English) Zbl 1243.35165 J. Differ. Equations 252, No. 1, 181-201 (2012). Reviewer: Yuanyuan Ke (Beijing) MSC: 35Q93 35L65 93B05 93C20 PDF BibTeX XML Cite \textit{J.-M. Coron} and \textit{Z. Wang}, J. Differ. Equations 252, No. 1, 181--201 (2012; Zbl 1243.35165) Full Text: DOI OpenURL
Shang, Peipei; Wang, Zhiqiang Analysis and control of a scalar conservation law modeling a highly re-entrant manufacturing system. (English) Zbl 1211.35192 J. Differ. Equations 250, No. 2, 949-982 (2011). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 35L65 49J20 93C20 PDF BibTeX XML Cite \textit{P. Shang} and \textit{Z. Wang}, J. Differ. Equations 250, No. 2, 949--982 (2011; Zbl 1211.35192) Full Text: DOI arXiv OpenURL
Glass, Olivier A complex-analytic approach to the problem of uniform controllability of a transport equation in the vanishing viscosity limit. (English) Zbl 1180.93015 J. Funct. Anal. 258, No. 3, 852-868 (2010). MSC: 93B05 35B27 35K20 49L25 PDF BibTeX XML Cite \textit{O. Glass}, J. Funct. Anal. 258, No. 3, 852--868 (2010; Zbl 1180.93015) Full Text: DOI OpenURL
Horsin, Thierry Local exact Lagrangian controllability of the Burgers viscous equation. (English) Zbl 1145.35330 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 2, 219-230 (2008). MSC: 35B30 35Q35 93B05 35K60 PDF BibTeX XML Cite \textit{T. Horsin}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 2, 219--230 (2008; Zbl 1145.35330) Full Text: DOI EuDML OpenURL
Guerrero, S.; Imanuvilov, O. Yu. Remarks on global controllability for the Burgers equation with two control forces. (English) Zbl 1248.93024 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 6, 897-906 (2007). MSC: 93B05 35Q53 93C20 PDF BibTeX XML Cite \textit{S. Guerrero} and \textit{O. Yu. Imanuvilov}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 6, 897--906 (2007; Zbl 1248.93024) Full Text: DOI Numdam EuDML OpenURL
Glass, Olivier On the constrollability of the 1-D isentropic Euler equation. (English) Zbl 1139.35014 J. Eur. Math. Soc. (JEMS) 9, No. 3, 427-486 (2007). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 35B37 93B05 35L65 PDF BibTeX XML Cite \textit{O. Glass}, J. Eur. Math. Soc. (JEMS) 9, No. 3, 427--486 (2007; Zbl 1139.35014) Full Text: DOI OpenURL
Fernández-Cara, Enrique; Guerrero, Sergio Null controllability of the Burgers system with distributed controls. (English) Zbl 1130.93015 Syst. Control Lett. 56, No. 5, 366-372 (2007). MSC: 93B05 93C20 93C10 35B37 PDF BibTeX XML Cite \textit{E. Fernández-Cara} and \textit{S. Guerrero}, Syst. Control Lett. 56, No. 5, 366--372 (2007; Zbl 1130.93015) Full Text: DOI OpenURL
Chapouly, Marianne Global controllability of nonviscous Burgers type equations. (English) Zbl 1107.93008 C. R., Math., Acad. Sci. Paris 344, No. 4, 241-246 (2007). MSC: 93B05 93C20 93C10 35Q53 PDF BibTeX XML Cite \textit{M. Chapouly}, C. R., Math., Acad. Sci. Paris 344, No. 4, 241--246 (2007; Zbl 1107.93008) Full Text: DOI OpenURL
Ancona, Fabio; Coclite, Giuseppe Maria On the boundary controllability of first-order hyperbolic systems. (English) Zbl 1224.93010 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, e1955-e1966 (2005). MSC: 93B05 93C20 PDF BibTeX XML Cite \textit{F. Ancona} and \textit{G. M. Coclite}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5--7, e1955--e1966 (2005; Zbl 1224.93010) Full Text: DOI OpenURL
Colombo, Rinaldo M. Wave front tracking in systems of conservation laws. (English) Zbl 1099.35063 Appl. Math., Praha 49, No. 6, 501-537 (2004). MSC: 35L65 35A35 35B35 35D05 PDF BibTeX XML Cite \textit{R. M. Colombo}, Appl. Math., Praha 49, No. 6, 501--537 (2004; Zbl 1099.35063) Full Text: DOI EuDML Link OpenURL
Lou, H. W. On the attainable sets of control systems with \(p\)-integrable controls. (English) Zbl 1070.93007 J. Optimization Theory Appl. 123, No. 1, 123-147 (2004). Reviewer: Jerzy Klamka (Gliwice) MSC: 93B03 93B05 93C10 PDF BibTeX XML Cite \textit{H. W. Lou}, J. Optim. Theory Appl. 123, No. 1, 123--147 (2004; Zbl 1070.93007) Full Text: DOI OpenURL
Colombo, R. M.; Groli, A. Minimising stop and go waves to optimise traffic flow. (English) Zbl 1058.49011 Appl. Math. Lett. 17, No. 6, 697-701 (2004). MSC: 49J45 35L65 49J10 90B20 PDF BibTeX XML Cite \textit{R. M. Colombo} and \textit{A. Groli}, Appl. Math. Lett. 17, No. 6, 697--701 (2004; Zbl 1058.49011) Full Text: DOI OpenURL
Colombo, Rinaldo M.; Groli, Alessandro On the initial boundary value problem for Temple systems. (English) Zbl 1058.35150 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 56, No. 4, 569-589 (2004). Reviewer: Vladimir Shelukhin (Novosibirsk) MSC: 35L60 35L50 PDF BibTeX XML Cite \textit{R. M. Colombo} and \textit{A. Groli}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 56, No. 4, 569--589 (2004; Zbl 1058.35150) Full Text: DOI OpenURL
Colombo, Rinaldo M.; Groli, Alessandro On the optimization of the initial boundary value problem for a conservation law. (English) Zbl 1041.35037 J. Math. Anal. Appl. 291, No. 1, 82-99 (2004). Reviewer: Alexandr Doktor (Praha) MSC: 35L65 35L50 PDF BibTeX XML Cite \textit{R. M. Colombo} and \textit{A. Groli}, J. Math. Anal. Appl. 291, No. 1, 82--99 (2004; Zbl 1041.35037) Full Text: DOI OpenURL
Ancona, Fabio; Marson, Andrea Scalar nonlinear conservation laws with integrable boundary data. (English) Zbl 0919.35081 Nonlinear Anal., Theory Methods Appl. 35, No. 6, A, 687-710 (1999). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 93C20 PDF BibTeX XML Cite \textit{F. Ancona} and \textit{A. Marson}, Nonlinear Anal., Theory Methods Appl. 35, No. 6, 687--710 (1999; Zbl 0919.35081) Full Text: DOI OpenURL
Horsin, T. On the controllability of the Burger equation. (English) Zbl 0897.93034 ESAIM, Control Optim. Calc. Var. 3, 83-95 (1998). Reviewer: V.Komkov (Roswell) MSC: 93C20 93B05 35Q30 35Q53 PDF BibTeX XML Cite \textit{T. Horsin}, ESAIM, Control Optim. Calc. Var. 3, 83--95 (1998; Zbl 0897.93034) Full Text: DOI EuDML OpenURL