Wang, Libin; Zhang, Mingming Simultaneous exact boundary controllability of final state and nodal profile for quasilinear hyperbolic systems. (English) Zbl 07822048 Appl. Math. Optim. 89, No. 2, Paper No. 43, 19 p. (2024). MSC: 93B05 93C20 35L50 PDFBibTeX XMLCite \textit{L. Wang} and \textit{M. Zhang}, Appl. Math. Optim. 89, No. 2, Paper No. 43, 19 p. (2024; Zbl 07822048) Full Text: DOI
Wang, Libin; Zhang, Yutao Exact boundary controllability of nodal profile for nonautonomous quasilinear hyperbolic systems. (English) Zbl 07797273 J. Dyn. Control Syst. 30, No. 1, Paper No. 6, 18 p. (2024). MSC: 35L50 35L60 37B55 93B05 93C20 PDFBibTeX XMLCite \textit{L. Wang} and \textit{Y. Zhang}, J. Dyn. Control Syst. 30, No. 1, Paper No. 6, 18 p. (2024; Zbl 07797273) Full Text: DOI
Li, Tatsien; Yu, Lei The exact boundary controllability of nodal profile for entropy solutions to 1-D quasilinear hyperbolic systems of conservation laws with linearly degenerate negative (resp., positive) characteristic fields. (English) Zbl 1522.35329 SIAM J. Control Optim. 61, No. 5, 2761-2776 (2023). MSC: 35L60 35B05 35L50 35L65 93B05 PDFBibTeX XMLCite \textit{T. Li} and \textit{L. Yu}, SIAM J. Control Optim. 61, No. 5, 2761--2776 (2023; Zbl 1522.35329) Full Text: DOI
Gugat, Martin; Herty, Michael Turnpike properties of optimal boundary control problems with random linear hyperbolic systems. (English) Zbl 1522.35432 ESAIM, Control Optim. Calc. Var. 29, Paper No. 55, 27 p. (2023). MSC: 35Q49 93E20 49K45 49J20 35R60 PDFBibTeX XMLCite \textit{M. Gugat} and \textit{M. Herty}, ESAIM, Control Optim. Calc. Var. 29, Paper No. 55, 27 p. (2023; Zbl 1522.35432) Full Text: DOI
Wang, Ke; Wang, Libin Exact boundary controllability of nodal profile for quasilinear hyperbolic systems and its asymptotic stability. (English) Zbl 1511.35237 SIAM J. Control Optim. 61, No. 1, 1-21 (2023). MSC: 35L50 35L60 37B55 93B05 93D20 PDFBibTeX XMLCite \textit{K. Wang} and \textit{L. Wang}, SIAM J. Control Optim. 61, No. 1, 1--21 (2023; Zbl 1511.35237) Full Text: DOI
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 PDFBibTeX XMLCite \textit{N. De Nitti} and \textit{E. Zuazua}, Vietnam J. Math. 51, No. 1, 71--88 (2023; Zbl 1506.35123) Full Text: DOI
Wang, Libin; Wang, Ke Global piecewise classical solutions to quasilinear hyperbolic systems on a tree-like network. (English) Zbl 1502.35188 J. Hyperbolic Differ. Equ. 19, No. 3, 523-548 (2022). MSC: 35R02 35A09 35L50 35L60 PDFBibTeX XMLCite \textit{L. Wang} and \textit{K. Wang}, J. Hyperbolic Differ. Equ. 19, No. 3, 523--548 (2022; Zbl 1502.35188) Full Text: DOI
Corli, Andrea; Razafison, Ulrich; Rosini, Massimiliano D. Coherence and flow-maximization of a one-way valve. (English) Zbl 1498.35357 ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1715-1739 (2022). MSC: 35L65 35L67 35Q31 76B75 PDFBibTeX XMLCite \textit{A. Corli} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1715--1739 (2022; Zbl 1498.35357) Full Text: DOI arXiv
Saraç, Yeşim; Zuazua, Enrique Sidewise profile control of 1-D waves. (English) Zbl 1489.35166 J. Optim. Theory Appl. 193, No. 1-3, 931-949 (2022). MSC: 35L20 93B05 93B07 PDFBibTeX XMLCite \textit{Y. Saraç} and \textit{E. Zuazua}, J. Optim. Theory Appl. 193, No. 1--3, 931--949 (2022; Zbl 1489.35166) Full Text: DOI arXiv
Wang, Yue; Li, Tatsien Exact boundary controllability of partial nodal profile for network of strings. (English) Zbl 1478.93068 Nonlinear Anal., Real World Appl. 62, Article ID 103383, 32 p. (2021). MSC: 93B05 93C20 35L50 35L20 35L60 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{T. Li}, Nonlinear Anal., Real World Appl. 62, Article ID 103383, 32 p. (2021; Zbl 1478.93068) Full Text: DOI
Leugering, Günter; Rodriguez, Charlotte; Wang, Yue Nodal profile control for networks of geometrically exact beams. (English. French summary) Zbl 1478.35201 J. Math. Pures Appl. (9) 155, 111-139 (2021). MSC: 35Q74 35L50 35R02 93B05 93C20 74K10 35A01 35A02 PDFBibTeX XMLCite \textit{G. Leugering} et al., J. Math. Pures Appl. (9) 155, 111--139 (2021; Zbl 1478.35201) Full Text: DOI arXiv
Vergara-Hermosilla, G.; Leugering, G.; Wang, Y. Boundary controllability of a system modelling a partially immersed obstacle. (English) Zbl 1473.35358 ESAIM, Control Optim. Calc. Var. 27, Paper No. 80, 15 p. (2021). MSC: 35L50 35L65 93B05 93C20 PDFBibTeX XMLCite \textit{G. Vergara-Hermosilla} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. 80, 15 p. (2021; Zbl 1473.35358) Full Text: DOI
Stoll, Martin; Winkler, Max Optimal Dirichlet control of partial differential equations on networks. (English) Zbl 1473.49002 ETNA, Electron. Trans. Numer. Anal. 54, 392-419 (2021). MSC: 49J20 49M25 65L10 05C82 90B10 65M60 PDFBibTeX XMLCite \textit{M. Stoll} and \textit{M. Winkler}, ETNA, Electron. Trans. Numer. Anal. 54, 392--419 (2021; Zbl 1473.49002) Full Text: DOI arXiv Link
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 PDFBibTeX XMLCite \textit{A. Bayen} et al., Vietnam J. Math. 49, No. 3, 957--985 (2021; Zbl 1471.35197) Full Text: DOI
Li, Tatsien; Zhuang, Kaili A cut-off method to realize the exact boundary controllability of nodal profile for Saint-Venant systems on general networks with loops. (English. French summary) Zbl 1467.35214 J. Math. Pures Appl. (9) 151, 1-27 (2021). MSC: 35L50 35L60 35R02 93B05 93C20 PDFBibTeX XMLCite \textit{T. Li} and \textit{K. Zhuang}, J. Math. Pures Appl. (9) 151, 1--27 (2021; Zbl 1467.35214) Full Text: DOI
Gugat, Martin; Schuster, Michael; Zuazua, Enrique The finite-time turnpike phenomenon for optimal control problems: stabilization by non-smooth tracking terms. (English) Zbl 1461.91188 Sklyar, Grigory (ed.) et al., Stabilization of distributed parameter systems: design methods and applications. Selected papers based on the presentations of the mini-symposium at ICIAM 2019, Valencia, Spain, July 15–19, 2019. Cham: Springer. SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 2, 17-41 (2021). MSC: 91B62 49N10 49J15 93B05 PDFBibTeX XMLCite \textit{M. Gugat} et al., SEMA SIMAI Springer Ser. ICIAM 2019 SEMA SIMAI Springer Ser. 2, 17--41 (2021; Zbl 1461.91188) Full Text: DOI arXiv
Wang, Libin; Wang, Ke Asymptotic stability of the exact boundary controllability of nodal profile for quasilinear hyperbolic systems. (English) Zbl 1450.35070 ESAIM, Control Optim. Calc. Var. 26, Paper No. 67, 25 p. (2020). MSC: 35B40 35L50 35L60 93B05 PDFBibTeX XMLCite \textit{L. Wang} and \textit{K. Wang}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 67, 25 p. (2020; Zbl 1450.35070) Full Text: DOI
Hintermüller, Michael; Strogies, Nikolai Identification of the friction function in a semilinear system for gas transport through a network. (English) Zbl 1443.35188 Optim. Methods Softw. 35, No. 3, 576-617 (2020). MSC: 35R30 35Q35 49M05 49N45 76N15 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{N. Strogies}, Optim. Methods Softw. 35, No. 3, 576--617 (2020; Zbl 1443.35188) Full Text: DOI
Strecker, Timm; Aamo, Ole Morten; Cantoni, Michael Output feedback boundary control of heterodirectional semilinear hyperbolic systems. (English) Zbl 1442.93017 Automatica 117, Article ID 108990, 12 p. (2020). MSC: 93C20 93B52 35L71 93B53 PDFBibTeX XMLCite \textit{T. Strecker} et al., Automatica 117, Article ID 108990, 12 p. (2020; Zbl 1442.93017) Full Text: DOI
Heitsch, Holger; Strogies, Nikolai Consequences of uncertain friction for the transport of natural gas through passive networks of pipelines. (English) Zbl 1442.90036 Hintermüller, Michael (ed.) et al., Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO’17, Lisbon, Portugal, December 6–8, 2017. Cham: Springer. CIM Ser. Math. Sci, 211-238 (2019). MSC: 90B15 35R60 35L65 76N15 90C15 49J20 PDFBibTeX XMLCite \textit{H. Heitsch} and \textit{N. Strogies}, in: Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO'17, Lisbon, Portugal, December 6--8, 2017. Cham: Springer. 211--238 (2019; Zbl 1442.90036) Full Text: DOI
Zhuang, Kaili; Leugering, Günter; Li, Tatsien Exact boundary controllability of nodal profile for Saint-Venant system on a network with loops. (English. French summary) Zbl 1423.35245 J. Math. Pures Appl. (9) 129, 34-60 (2019). MSC: 35L50 35L65 93B05 93C20 35L02 PDFBibTeX XMLCite \textit{K. Zhuang} et al., J. Math. Pures Appl. (9) 129, 34--60 (2019; Zbl 1423.35245) Full Text: DOI
Gugat, Martin; Hante, Falk M. On the turnpike phenomenon for optimal boundary control problems with hyperbolic systems. (English) Zbl 1418.35252 SIAM J. Control Optim. 57, No. 1, 264-289 (2019). Reviewer: Kaïs Ammari (Monastir) MSC: 35L04 49K20 90C46 PDFBibTeX XMLCite \textit{M. Gugat} and \textit{F. M. Hante}, SIAM J. Control Optim. 57, No. 1, 264--289 (2019; Zbl 1418.35252) Full Text: DOI arXiv
Gugat, Martin; Steffensen, Sonja Dynamic boundary control games with networks of strings. (English) Zbl 1415.49026 ESAIM, Control Optim. Calc. Var. 24, No. 4, 1789-1813 (2018). Reviewer: George Stoica (Saint John) MSC: 49N70 91A23 PDFBibTeX XMLCite \textit{M. Gugat} and \textit{S. Steffensen}, ESAIM, Control Optim. Calc. Var. 24, No. 4, 1789--1813 (2018; Zbl 1415.49026) Full Text: DOI
Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. (English) Zbl 1391.49040 Comput. Optim. Appl. 70, No. 1, 267-294 (2018). MSC: 49K20 49J15 49J20 76B75 90C11 90C35 PDFBibTeX XMLCite \textit{M. Gugat} et al., Comput. Optim. Appl. 70, No. 1, 267--294 (2018; Zbl 1391.49040) Full Text: DOI
Corli, Andrea; Figiel, Magdalena; Futa, Anna; Rosini, Massimiliano D. Coupling conditions for isothermal gas flow and applications to valves. (English) Zbl 1382.35214 Nonlinear Anal., Real World Appl. 40, 403-427 (2018). MSC: 35Q35 76N15 35L65 PDFBibTeX XMLCite \textit{A. Corli} et al., Nonlinear Anal., Real World Appl. 40, 403--427 (2018; Zbl 1382.35214) Full Text: DOI arXiv
Bermúdez, Alfredo; López, Xián; Vázquez-Cendón, M. Elena Treating network junctions in finite volume solution of transient gas flow models. (English) Zbl 1380.76050 J. Comput. Phys. 344, 187-209 (2017). MSC: 76M12 35L40 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., J. Comput. Phys. 344, 187--209 (2017; Zbl 1380.76050) Full Text: DOI
Zhuang, Kaili Exact internal controllability of nodal profile for first order quasilinear hyperbolic systems. (English) Zbl 1377.35194 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 165, 18-32 (2017). MSC: 35L50 93B05 PDFBibTeX XMLCite \textit{K. Zhuang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 165, 18--32 (2017; Zbl 1377.35194) Full Text: DOI
Engel, Klaus-Jochen; Kramar Fijavž, Marjeta Exact and positive controllability of boundary control systems. (English) Zbl 1364.93064 Netw. Heterog. Media 12, No. 2, 319-337 (2017). MSC: 93B05 47N70 35R02 PDFBibTeX XMLCite \textit{K.-J. Engel} and \textit{M. Kramar Fijavž}, Netw. Heterog. Media 12, No. 2, 319--337 (2017; Zbl 1364.93064) Full Text: DOI arXiv
Bermúdez, Alfredo; López, Xián; Vázquez-Cendón, M. Elena Numerical solution of non-isothermal non-adiabatic flow of real gases in pipelines. (English) Zbl 1415.76463 J. Comput. Phys. 323, 126-148 (2016). MSC: 76M12 76N15 65M08 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., J. Comput. Phys. 323, 126--148 (2016; Zbl 1415.76463) Full Text: DOI
Novella Rodriguez, David Fernando; Witrant, Emmanuel; Sename, Olivier Control-oriented modeling of fluid networks: a time-delay approach. (English) Zbl 1384.93060 Karafyllis, Iasson (ed.) et al., Recent results on nonlinear delay control systems. In honor of Miroslav Krstic. Cham: Springer (ISBN 978-3-319-18071-7/hbk; 978-3-319-36760-6/pbk; 978-3-319-18072-4/ebook). Advances in Delays and Dynamics 4, 275-289 (2016). MSC: 93C20 35R02 35L50 93A30 PDFBibTeX XMLCite \textit{D. F. Novella Rodriguez} et al., Adv. Delays Dyn. 4, 275--289 (2016; Zbl 1384.93060) Full Text: DOI
Li, TaTsien From phenomena of synchronization to exact synchronization and approximate synchronization for hyperbolic systems. (English) Zbl 1339.93026 Sci. China, Math. 59, No. 1, 1-18 (2016). MSC: 93B05 93B07 93C20 35L53 PDFBibTeX XMLCite \textit{T. Li}, Sci. China, Math. 59, No. 1, 1--18 (2016; Zbl 1339.93026) Full Text: DOI
Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter Stationary states in gas networks. (English) Zbl 1332.93154 Netw. Heterog. Media 10, No. 2, 295-320 (2015). MSC: 93C20 93C15 PDFBibTeX XMLCite \textit{M. Gugat} et al., Netw. Heterog. Media 10, No. 2, 295--320 (2015; Zbl 1332.93154) Full Text: DOI
Gugat, M.; Herty, M.; Schleper, V. Erratum to: “Flow control in gas networks: exact controllability to a given demand”. (English) Zbl 1464.76183 Math. Methods Appl. Sci. 38, No. 5, 1001-1004 (2015). MSC: 76N25 35L50 93C20 PDFBibTeX XMLCite \textit{M. Gugat} et al., Math. Methods Appl. Sci. 38, No. 5, 1001--1004 (2015; Zbl 1464.76183) Full Text: DOI
Dick, Markus; Gugat, Martin; Herty, Michael; Leugering, Günter; Steffensen, Sonja; Wang, Ke Stabilization of networked hyperbolic systems with boundary feedback. (English) Zbl 1327.93312 Leugering, Günter (ed.) et al., Trends in PDE constrained optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-05082-9/hbk; 978-3-319-05083-6/ebook). ISNM. International Series of Numerical Mathematics 165, 487-504 (2014). MSC: 93D15 35L50 93C20 PDFBibTeX XMLCite \textit{M. Dick} et al., ISNM, Int. Ser. Numer. Math. 165, 487--504 (2014; Zbl 1327.93312) Full Text: DOI
Pfaff, Sebastian; Ulbrich, Stefan; Leugering, Günter Optimal control of nonlinear hyperbolic conservation laws with switching. (English) Zbl 1327.49014 Leugering, Günter (ed.) et al., Trends in PDE constrained optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-05082-9/hbk; 978-3-319-05083-6/ebook). ISNM. International Series of Numerical Mathematics 165, 109-131 (2014). MSC: 49J20 PDFBibTeX XMLCite \textit{S. Pfaff} et al., ISNM, Int. Ser. Numer. Math. 165, 109--131 (2014; Zbl 1327.49014) Full Text: DOI
Wang, Ke; Gu, Qilong Exact boundary controllability of nodal profile for quasilinear wave equations in a planar tree-like network of strings. (English) Zbl 1295.35333 Math. Methods Appl. Sci. 37, No. 8, 1206-1218 (2014). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35L72 93B05 35L20 PDFBibTeX XMLCite \textit{K. Wang} and \textit{Q. Gu}, Math. Methods Appl. Sci. 37, No. 8, 1206--1218 (2014; Zbl 1295.35333) Full Text: DOI
Gugat, Martin; Leugering, Günter; Tamasoiu, Simona \(H^2\)-stabilization of the isothermal Euler equations: a Lyapunov function approach. (English) Zbl 1253.76112 Chin. Ann. Math., Ser. B 33, No. 4, 479-500 (2012). MSC: 76N25 35L50 93C20 PDFBibTeX XMLCite \textit{M. Gugat} et al., Chin. Ann. Math., Ser. B 33, No. 4, 479--500 (2012; Zbl 1253.76112) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J.-M. Coron} and \textit{Z. Wang}, J. Differ. Equations 252, No. 1, 181--201 (2012; Zbl 1243.35165) Full Text: DOI
Wang, Ke Exact boundary controllability of nodal profile for 1-D quasilinear wave equations. (English) Zbl 1284.35255 Front. Math. China 6, No. 3, 545-555 (2011). MSC: 35L20 35L72 93B05 PDFBibTeX XMLCite \textit{K. Wang}, Front. Math. China 6, No. 3, 545--555 (2011; Zbl 1284.35255) Full Text: DOI