Edit Profile Gugat, Martin Compute Distance To: Compute Author ID: gugat.martin Published as: Gugat, M.; Gugat, Martin External Links: MGP · Wikidata · ORCID Documents Indexed: 99 Publications since 1992, including 1 Book Reviewing Activity: 31 Reviews all top 5 Co-Authors 40 single-authored 24 Leugering, Günter 13 Herty, Michael Matthias 7 Dick, Markus 4 Wintergerst, David 3 Hante, Falk M. 3 Klar, Axel 3 Schleper, Veronika 3 Schultz, Rüdiger 3 Schuster, Michael J. 3 Steffensen, Sonja 3 Zuazua, Enrique 2 Grimm, Volker 2 Keimer, Alexander 2 Martin, Alexander 2 Schmidt, E. J. P. Georg 2 Schmidt, Martin 2 Sirvent, Mathias 2 Tröltzsch, Fredi 2 Ulbrich, Stefan 1 Farshbaf-Shaker, Mohammad Hassan 1 Gerster, Stephan 1 Heitsch, Holger 1 Henrion, René 1 Hettich, Rainer 1 Hirsch-Dick, Markus 1 Mateos, Mariano 1 Müller, Siegfried 1 Perrollaz, Vincent 1 Pfeiffer, Barbara 1 Rosier, Lionel 1 Schittkowski, Klaus 1 Sigalotti, Mario 1 Sklyar, Grigory Mikhailovitch 1 Sokołowski, Jan 1 Tamasoiu, Simona Oana 1 Trélat, Emmanuel 1 Tucsnak, Marius 1 Wang, Ke 1 Wang, Ke 1 Wang, Zhi-Qiang 1 Weber, Gerhard-Wilhelm 1 Yu, Hui all top 5 Serials 9 SIAM Journal on Control and Optimization 6 Networks and Heterogeneous Media 5 Journal of Optimization Theory and Applications 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Systems & Control Letters 4 Optimization 3 Mathematical Methods in the Applied Sciences 3 Computational Optimization and Applications 3 Computational and Applied Mathematics 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Applicable Analysis 2 Control and Cybernetics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 IMA Journal of Mathematical Control and Information 2 Mathematical Programming. Series A. Series B 2 Mathematical Problems in Engineering 2 Mathematical Control and Related Fields 1 International Journal of Control 1 Journal of Mathematical Analysis and Applications 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Management Science 1 Networks 1 SIAM Journal on Numerical Analysis 1 Optimal Control Applications & Methods 1 Chinese Annals of Mathematics. Series B 1 Constructive Approximation 1 MCSS. Mathematics of Control, Signals, and Systems 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 Mathematical Methods of Operations Research 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Evolution Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Advanced Modeling and Optimization 1 Numerical Algebra, Control and Optimization 1 Arabian Journal of Mathematics 1 Pure and Applied Functional Analysis 1 SpringerBriefs in Electrical and Computer Engineering all top 5 Fields 55 Partial differential equations (35-XX) 47 Systems theory; control (93-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 29 Operations research, mathematical programming (90-XX) 23 Fluid mechanics (76-XX) 12 Numerical analysis (65-XX) 10 Mechanics of deformable solids (74-XX) 2 Approximations and expansions (41-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 650 times in 336 Documents Cited by ▼ Year ▼ Global boundary controllability of the de St. Venant equations between steady states. Zbl 1032.93030Gugat, M.; Leugering, G. 29 2003 Existence of classical solutions and feedback stabilization for the flow in gas networks. Zbl 1429.76090Gugat, Martin; Herty, Michaël 28 2011 Optimal control for traffic flow networks. Zbl 1079.49024Gugat, M.; Herty, M.; Klar, A.; Leugering, G. 25 2005 Gas flow in fan-shaped networks: classical solutions and feedback stabilization. Zbl 1237.35107Gugat, Martin; Dick, Markus; Leugering, Günter 24 2011 Stationary states in gas networks. Zbl 1332.93154Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter 22 2015 Global controllability between steady supercritical flows in channel networks. Zbl 1047.93028Gugat, Martin; Leugering, Günter; Schmidt, E. J. P. Georg 22 2004 Flow control in gas networks: exact controllability to a given demand. Zbl 1394.76112Gugat, M.; Herty, M.; Schleper, V. 21 2011 Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059Dick, Markus; Gugat, Martin; Leugering, Günter 20 2010 Stars of vibrating strings: switching boundary feedback stabilization. Zbl 1258.93088Gugat, Martin; Sigalotti, Mario 15 2010 Global boundary controllability of the Saint-Venant system for sloped canals with friction. Zbl 1154.76009Gugat, M.; Leugering, G. 15 2009 Optimal switching boundary control of a string to rest in finite time. Zbl 1242.49008Gugat, Martin 14 2008 \(L^\infty\)-norm minimal control of the wave equation: on the weakness of the bang-bang principle. Zbl 1133.49006Gugat, Martin; Leugering, Gunter 14 2008 \(L^{p}\)-optimal boundary control for the wave equation. Zbl 1083.49017Gugat, M.; Leugering, G.; Sklyar, G. 14 2005 Prox-regularization methods for generalized fractional programming. Zbl 0973.90078Gugat, M. 14 1998 Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Zbl 1335.49012Gugat, Martin; Trélat, Emmanuel; Zuazua, Enrique 13 2016 Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks. Zbl 1335.49011Gugat, Martin; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang 13 2015 Boundary feedback stabilization by time delay for one-dimensional wave equations. Zbl 1198.93177Gugat, Martin 13 2010 The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations. Zbl 1201.90186Gugat, Martin; Herty, Michael 11 2010 Optimal boundary control and boundary stabilization of hyperbolic systems. Zbl 1328.49001Gugat, Martin 10 2015 Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika 10 2012 \(H^2\)-stabilization of the isothermal Euler equations: a Lyapunov function approach. Zbl 1253.76112Gugat, Martin; Leugering, Günter; Tamasoiu, Simona 10 2012 An example for the switching delay feedback stabilization of an infinite dimensional system: the boundary stabilization of a string. Zbl 1216.93084Gugat, Martin; Tucsnak, Marius 10 2011 Optimal nodal control of networked hyperbolic systems: evaluation of derivatives. Zbl 1165.49307Gugat, Martin 10 2005 Networks of pipelines for gas with nonconstant compressibility factor: stationary states. Zbl 1416.76253Gugat, Martin; Schultz, Rüdiger; Wintergerst, David 9 2018 MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. Zbl 1391.49040Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David 9 2018 Boundary feedback stabilization of the telegraph equation: decay rates for vanishing damping term. Zbl 1288.93066Gugat, Martin 9 2014 Approximation of semigroups and related operator functions by resolvent series. Zbl 1222.65052Grimm, Volker; Gugat, Martin 9 2010 Modelling, stabilization, and control of flow in networks of open channels. Zbl 0987.93056Gugat, Martin; Leugering, Günter; Schittkowski, Klaus; Schmidt, E. J. P. Georg 9 2001 A fast algorithm for a class of generalized fractional programs. Zbl 0881.90113Gugat, Martin 9 1996 One-sided derivatives for the value function in convex parametric programming. Zbl 0822.90130Gugat, M. 9 1994 Neumann boundary feedback stabilization for a nonlinear wave equation: A strict \(H^2\)-Lyapunov function. Zbl 1366.76079Gugat, Martin; Leugering, Günter; Wang, Ke 8 2017 Boundary feedback stabilization of the Schlögl system. Zbl 1309.93121Gugat, Martin; Tröltzsch, Fredi 8 2015 Optimal distributed control of the wave equation subject to state constraints. Zbl 1176.35176Gugat, Martin; Keimer, Alexander; Leugering, Günter 8 2009 Boundary controllability between sub- and supercritical flow. Zbl 1047.35087Gugat, Martin 8 2003 Controllability of a slowly rotating Timoshenko beam. Zbl 1031.93103Gugat, Martin 8 2001 A strict \(H^1\)-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction. Zbl 1242.76296Dick, Markus; Gugat, Martin; Leugering, Günter 7 2011 Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction. Zbl 1368.76010Gugat, Martin; Dick, Markus 7 2011 Penalty techniques for state constrained optimal control problems with the wave equation. Zbl 1202.49037Gugat, Martin 7 2010 Weber problems with mixed distances and regional demand. Zbl 1146.90464Gugat, Martin; Pfeiffer, Barbara 7 2007 Optimal boundary feedback stabilization of a string with moving boundary. Zbl 1141.93047Gugat, Martin 6 2008 Solutions of \(L^p\)-norm-minimal control problems for the wave equation. Zbl 1119.90353Gugat, Martin; Leugering, G. 6 2002 Towards simulation based mixed integer optimization with differential equations. Zbl 1397.90308Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David 5 2018 The isothermal Euler equations for ideal gas with source term: product solutions, flow reversal and no blow up. Zbl 1372.35224Gugat, Martin; Ulbrich, Stefan 5 2017 Norm-minimal Neumann boundary control of the wave equation. Zbl 1314.35205Gugat, Martin 5 2015 Contamination source determination in water distribution networks. Zbl 1260.49005Gugat, Martin 5 2012 Analytic solutions of \(L^{\infty}\) optimal control problems for the wave equation. Zbl 1012.49025Gugat, M. 5 2002 Regularization of \(L^\infty\)-optimal control problems for distributed parameter systems. Zbl 1015.49020Gugat, M.; Leugering, G. 5 2002 Parametric disjunctive programming: One-sided differentiability of the value function. Zbl 0886.90113Gugat, M. 5 1997 Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms. Zbl 1421.35213Gugat, Martin; Perrollaz, Vincent; Rosier, Lionel 4 2018 Coupling conditions for the transition from supersonic to subsonic fluid states. Zbl 1379.35241Gugat, Martin; Herty, Michael; Müller, Siegfried 4 2017 Exponential stabilization of the wave equation by Dirichlet integral feedback. Zbl 1339.35156Gugat, Martin 4 2015 A note on the approximation of Dirichlet boundary control problems for the wave equation on curved domains. Zbl 1273.49009Gugat, M.; Sokolowski, J. 4 2013 Optimal boundary control of the wave equation with pointwise control constraints. Zbl 1226.49023Gugat, Martin; Grimm, Volker 4 2011 Optimal boundary control of a string to rest in finite time with continuous state. Zbl 1092.49020Gugat, Martin 4 2006 An algorithm for Chebyshev approximation by rationals with constrained denominators. Zbl 0886.41013Gugat, M. 4 1996 On the turnpike phenomenon for optimal boundary control problems with hyperbolic systems. Zbl 1418.35252Gugat, Martin; Hante, Falk M. 3 2019 Exact boundary controllability for free traffic flow with Lipschitz continuous state. Zbl 1400.90098Gugat, Martin 3 2016 Exact penalization of terminal constraints for optimal control problems. Zbl 1353.49005Gugat, Martin; Zuazua, Enrique 3 2016 Optimal energy control in finite time by varying the length of the string. Zbl 1144.49016Gugat, Martin 3 2007 Conservation law constrained optimization based upon Front-Tracking. Zbl 1116.65079Gugat, Martin; Herty, Michaël; Klar, Axel; Leugering, Gunter 3 2006 \(L^1\)-optimal boundary control of a string to rest in finite time. Zbl 1108.49017Gugat, Martin 3 2006 A Newton method for the computation of time-optimal boundary controls of one-dimensional vibrating systems. Zbl 0953.93042Gugat, Martin 3 2000 A parametric view on the Mangasarian-Fromovitz constraint qualification. Zbl 0976.90111Gugat, Martin 3 1999 Time-parametric control: Uniform convergence of the optimal value functions of discretized problems. Zbl 0951.49032Gugat, Martin 3 1999 The Newton differential correction algorithm for rational Chebyshev approximation with constrained denominators. Zbl 0860.65006Gugat, M. 3 1996 Optimization under functional constraints (semi-infinite programming) and applications. Zbl 0770.90070Hettich, Rainer; Gugat, Martin 3 1992 Stationary gas networks with compressor control and random loads: optimization with probabilistic constraints. Zbl 1427.76234Gugat, Martin; Schuster, Michael; Weber, Gerhard-Wilhelm 2 2018 Transient flow in gas networks: traveling waves. Zbl 1442.35316Gugat, Martin; Wintergerst, David 2 2018 Lipschitz continuity of the value function in mixed-integer optimal control problems. Zbl 1439.49047Gugat, Martin; Hante, Falk M. 2 2017 Erratum to: “Flow control in gas networks: exact controllability to a given demand”. Zbl 06430991Gugat, M.; Herty, M.; Schleper, V. 2 2015 Stabilization of networked hyperbolic systems with boundary feedback. Zbl 1327.93312Dick, Markus; Gugat, Martin; Herty, Michael; Leugering, Günter; Steffensen, Sonja; Wang, Ke 2 2014 Stabilization of the gas flow in star-shaped networks by feedback controls with varying delay. Zbl 1264.93206Gugat, Martin; Dick, Markus; Leugering, Günter 2 2013 A smoothed penalty iteration for state constrained optimal control problems for partial differential equations. Zbl 1290.90072Gugat, Martin; Herty, Michael 2 2013 Lavrentiev-prox-regularization for optimal control of PDEs with state constraints. Zbl 1200.65051Gugat, Martin 2 2009 Optimal boundary control in flood management. Zbl 1239.49030Gugat, Martin 2 2007 Error bounds for infinite systems of convex inequalities without Slater’s condition. Zbl 0997.90090Gugat, Martin 2 2000 Convex semi-infinite parametric programming: Uniform convergence of the optimal value functions of discretized problems. Zbl 0956.90054Gugat, M. 2 1999 Computation of lower bounds for spectra via fractional semi-infinite programming. Zbl 0841.65091Gugat, Martin 2 1995 A turnpike result for convex hyperbolic optimal boundary control problems. Zbl 1458.35259Gugat, Martin 1 2019 On the limits of stabilizability for networks of strings. Zbl 1425.93229Gugat, Martin; Gerster, Stephan 1 2019 On the relaxation approximation for \(2\times 2\) hyperbolic balance laws. Zbl 1407.65105Gugat, Martin; Herty, Michael; Yu, Hui 1 2018 Lipschitz solutions of initial boundary value problems for balance laws. Zbl 1394.35261Gugat, Martin; Ulbrich, Stefan 1 2018 On the relaxation approximation of boundary control of the isothermal Euler equations. Zbl 1253.93110Dick, M.; Gugat, M.; Herty, M.; Steffensen, S. 1 2012 Lavrentiev prox-regularization methods for optimal control problems with pointwise state constraints. Zbl 1197.49042Gugat, Martin 1 2009 Nodal control of conservation laws on networks. Sensitivity calculations for the control of systems of conservation laws with source terms on networks. Zbl 1097.65071Gugat, Martin 1 2005 Parametric convex optimization: One-sided derivatives of the value function in singular parameters. Zbl 0961.90114Gugat, Martin 1 1998 Semi-infinite terminal problems: A Newton type method. Zbl 0916.65066Gugat, Martin 1 1998 Corrigendum: One-sided derivatives for the value function in convex parametric programming. Zbl 0864.90113Gugat, M. 1 1996 On the turnpike phenomenon for optimal boundary control problems with hyperbolic systems. Zbl 1418.35252Gugat, Martin; Hante, Falk M. 3 2019 A turnpike result for convex hyperbolic optimal boundary control problems. Zbl 1458.35259Gugat, Martin 1 2019 On the limits of stabilizability for networks of strings. Zbl 1425.93229Gugat, Martin; Gerster, Stephan 1 2019 Networks of pipelines for gas with nonconstant compressibility factor: stationary states. Zbl 1416.76253Gugat, Martin; Schultz, Rüdiger; Wintergerst, David 9 2018 MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. Zbl 1391.49040Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David 9 2018 Towards simulation based mixed integer optimization with differential equations. Zbl 1397.90308Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David 5 2018 Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms. Zbl 1421.35213Gugat, Martin; Perrollaz, Vincent; Rosier, Lionel 4 2018 Stationary gas networks with compressor control and random loads: optimization with probabilistic constraints. Zbl 1427.76234Gugat, Martin; Schuster, Michael; Weber, Gerhard-Wilhelm 2 2018 Transient flow in gas networks: traveling waves. Zbl 1442.35316Gugat, Martin; Wintergerst, David 2 2018 On the relaxation approximation for \(2\times 2\) hyperbolic balance laws. Zbl 1407.65105Gugat, Martin; Herty, Michael; Yu, Hui 1 2018 Lipschitz solutions of initial boundary value problems for balance laws. Zbl 1394.35261Gugat, Martin; Ulbrich, Stefan 1 2018 Neumann boundary feedback stabilization for a nonlinear wave equation: A strict \(H^2\)-Lyapunov function. Zbl 1366.76079Gugat, Martin; Leugering, Günter; Wang, Ke 8 2017 The isothermal Euler equations for ideal gas with source term: product solutions, flow reversal and no blow up. Zbl 1372.35224Gugat, Martin; Ulbrich, Stefan 5 2017 Coupling conditions for the transition from supersonic to subsonic fluid states. Zbl 1379.35241Gugat, Martin; Herty, Michael; Müller, Siegfried 4 2017 Lipschitz continuity of the value function in mixed-integer optimal control problems. Zbl 1439.49047Gugat, Martin; Hante, Falk M. 2 2017 Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Zbl 1335.49012Gugat, Martin; Trélat, Emmanuel; Zuazua, Enrique 13 2016 Exact boundary controllability for free traffic flow with Lipschitz continuous state. Zbl 1400.90098Gugat, Martin 3 2016 Exact penalization of terminal constraints for optimal control problems. Zbl 1353.49005Gugat, Martin; Zuazua, Enrique 3 2016 Stationary states in gas networks. Zbl 1332.93154Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter 22 2015 Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks. Zbl 1335.49011Gugat, Martin; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang 13 2015 Optimal boundary control and boundary stabilization of hyperbolic systems. Zbl 1328.49001Gugat, Martin 10 2015 Boundary feedback stabilization of the Schlögl system. Zbl 1309.93121Gugat, Martin; Tröltzsch, Fredi 8 2015 Norm-minimal Neumann boundary control of the wave equation. Zbl 1314.35205Gugat, Martin 5 2015 Exponential stabilization of the wave equation by Dirichlet integral feedback. Zbl 1339.35156Gugat, Martin 4 2015 Erratum to: “Flow control in gas networks: exact controllability to a given demand”. Zbl 06430991Gugat, M.; Herty, M.; Schleper, V. 2 2015 Boundary feedback stabilization of the telegraph equation: decay rates for vanishing damping term. Zbl 1288.93066Gugat, Martin 9 2014 Stabilization of networked hyperbolic systems with boundary feedback. Zbl 1327.93312Dick, Markus; Gugat, Martin; Herty, Michael; Leugering, Günter; Steffensen, Sonja; Wang, Ke 2 2014 A note on the approximation of Dirichlet boundary control problems for the wave equation on curved domains. Zbl 1273.49009Gugat, M.; Sokolowski, J. 4 2013 Stabilization of the gas flow in star-shaped networks by feedback controls with varying delay. Zbl 1264.93206Gugat, Martin; Dick, Markus; Leugering, Günter 2 2013 A smoothed penalty iteration for state constrained optimal control problems for partial differential equations. Zbl 1290.90072Gugat, Martin; Herty, Michael 2 2013 Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika 10 2012 \(H^2\)-stabilization of the isothermal Euler equations: a Lyapunov function approach. Zbl 1253.76112Gugat, Martin; Leugering, Günter; Tamasoiu, Simona 10 2012 Contamination source determination in water distribution networks. Zbl 1260.49005Gugat, Martin 5 2012 On the relaxation approximation of boundary control of the isothermal Euler equations. Zbl 1253.93110Dick, M.; Gugat, M.; Herty, M.; Steffensen, S. 1 2012 Existence of classical solutions and feedback stabilization for the flow in gas networks. Zbl 1429.76090Gugat, Martin; Herty, Michaël 28 2011 Gas flow in fan-shaped networks: classical solutions and feedback stabilization. Zbl 1237.35107Gugat, Martin; Dick, Markus; Leugering, Günter 24 2011 Flow control in gas networks: exact controllability to a given demand. Zbl 1394.76112Gugat, M.; Herty, M.; Schleper, V. 21 2011 An example for the switching delay feedback stabilization of an infinite dimensional system: the boundary stabilization of a string. Zbl 1216.93084Gugat, Martin; Tucsnak, Marius 10 2011 A strict \(H^1\)-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction. Zbl 1242.76296Dick, Markus; Gugat, Martin; Leugering, Günter 7 2011 Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction. Zbl 1368.76010Gugat, Martin; Dick, Markus 7 2011 Optimal boundary control of the wave equation with pointwise control constraints. Zbl 1226.49023Gugat, Martin; Grimm, Volker 4 2011 Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059Dick, Markus; Gugat, Martin; Leugering, Günter 20 2010 Stars of vibrating strings: switching boundary feedback stabilization. Zbl 1258.93088Gugat, Martin; Sigalotti, Mario 15 2010 Boundary feedback stabilization by time delay for one-dimensional wave equations. Zbl 1198.93177Gugat, Martin 13 2010 The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations. Zbl 1201.90186Gugat, Martin; Herty, Michael 11 2010 Approximation of semigroups and related operator functions by resolvent series. Zbl 1222.65052Grimm, Volker; Gugat, Martin 9 2010 Penalty techniques for state constrained optimal control problems with the wave equation. Zbl 1202.49037Gugat, Martin 7 2010 Global boundary controllability of the Saint-Venant system for sloped canals with friction. Zbl 1154.76009Gugat, M.; Leugering, G. 15 2009 Optimal distributed control of the wave equation subject to state constraints. Zbl 1176.35176Gugat, Martin; Keimer, Alexander; Leugering, Günter 8 2009 Lavrentiev-prox-regularization for optimal control of PDEs with state constraints. Zbl 1200.65051Gugat, Martin 2 2009 Lavrentiev prox-regularization methods for optimal control problems with pointwise state constraints. Zbl 1197.49042Gugat, Martin 1 2009 Optimal switching boundary control of a string to rest in finite time. Zbl 1242.49008Gugat, Martin 14 2008 \(L^\infty\)-norm minimal control of the wave equation: on the weakness of the bang-bang principle. Zbl 1133.49006Gugat, Martin; Leugering, Gunter 14 2008 Optimal boundary feedback stabilization of a string with moving boundary. Zbl 1141.93047Gugat, Martin 6 2008 Weber problems with mixed distances and regional demand. Zbl 1146.90464Gugat, Martin; Pfeiffer, Barbara 7 2007 Optimal energy control in finite time by varying the length of the string. Zbl 1144.49016Gugat, Martin 3 2007 Optimal boundary control in flood management. Zbl 1239.49030Gugat, Martin 2 2007 Optimal boundary control of a string to rest in finite time with continuous state. Zbl 1092.49020Gugat, Martin 4 2006 Conservation law constrained optimization based upon Front-Tracking. Zbl 1116.65079Gugat, Martin; Herty, Michaël; Klar, Axel; Leugering, Gunter 3 2006 \(L^1\)-optimal boundary control of a string to rest in finite time. Zbl 1108.49017Gugat, Martin 3 2006 Optimal control for traffic flow networks. Zbl 1079.49024Gugat, M.; Herty, M.; Klar, A.; Leugering, G. 25 2005 \(L^{p}\)-optimal boundary control for the wave equation. Zbl 1083.49017Gugat, M.; Leugering, G.; Sklyar, G. 14 2005 Optimal nodal control of networked hyperbolic systems: evaluation of derivatives. Zbl 1165.49307Gugat, Martin 10 2005 Nodal control of conservation laws on networks. Sensitivity calculations for the control of systems of conservation laws with source terms on networks. Zbl 1097.65071Gugat, Martin 1 2005 Global controllability between steady supercritical flows in channel networks. Zbl 1047.93028Gugat, Martin; Leugering, Günter; Schmidt, E. J. P. Georg 22 2004 Global boundary controllability of the de St. Venant equations between steady states. Zbl 1032.93030Gugat, M.; Leugering, G. 29 2003 Boundary controllability between sub- and supercritical flow. Zbl 1047.35087Gugat, Martin 8 2003 Solutions of \(L^p\)-norm-minimal control problems for the wave equation. Zbl 1119.90353Gugat, Martin; Leugering, G. 6 2002 Analytic solutions of \(L^{\infty}\) optimal control problems for the wave equation. Zbl 1012.49025Gugat, M. 5 2002 Regularization of \(L^\infty\)-optimal control problems for distributed parameter systems. Zbl 1015.49020Gugat, M.; Leugering, G. 5 2002 Modelling, stabilization, and control of flow in networks of open channels. Zbl 0987.93056Gugat, Martin; Leugering, Günter; Schittkowski, Klaus; Schmidt, E. J. P. Georg 9 2001 Controllability of a slowly rotating Timoshenko beam. Zbl 1031.93103Gugat, Martin 8 2001 A Newton method for the computation of time-optimal boundary controls of one-dimensional vibrating systems. Zbl 0953.93042Gugat, Martin 3 2000 Error bounds for infinite systems of convex inequalities without Slater’s condition. Zbl 0997.90090Gugat, Martin 2 2000 A parametric view on the Mangasarian-Fromovitz constraint qualification. Zbl 0976.90111Gugat, Martin 3 1999 Time-parametric control: Uniform convergence of the optimal value functions of discretized problems. Zbl 0951.49032Gugat, Martin 3 1999 Convex semi-infinite parametric programming: Uniform convergence of the optimal value functions of discretized problems. Zbl 0956.90054Gugat, M. 2 1999 Prox-regularization methods for generalized fractional programming. Zbl 0973.90078Gugat, M. 14 1998 Parametric convex optimization: One-sided derivatives of the value function in singular parameters. Zbl 0961.90114Gugat, Martin 1 1998 Semi-infinite terminal problems: A Newton type method. Zbl 0916.65066Gugat, Martin 1 1998 Parametric disjunctive programming: One-sided differentiability of the value function. Zbl 0886.90113Gugat, M. 5 1997 A fast algorithm for a class of generalized fractional programs. Zbl 0881.90113Gugat, Martin 9 1996 An algorithm for Chebyshev approximation by rationals with constrained denominators. Zbl 0886.41013Gugat, M. 4 1996 The Newton differential correction algorithm for rational Chebyshev approximation with constrained denominators. Zbl 0860.65006Gugat, M. 3 1996 Corrigendum: One-sided derivatives for the value function in convex parametric programming. Zbl 0864.90113Gugat, M. 1 1996 Computation of lower bounds for spectra via fractional semi-infinite programming. Zbl 0841.65091Gugat, Martin 2 1995 One-sided derivatives for the value function in convex parametric programming. Zbl 0822.90130Gugat, M. 9 1994 Optimization under functional constraints (semi-infinite programming) and applications. Zbl 0770.90070Hettich, Rainer; Gugat, Martin 3 1992 all cited Publications top 5 cited Publications all top 5 Cited by 442 Authors 53 Gugat, Martin 20 Leugering, Günter 18 Herty, Michael Matthias 10 Keimer, Alexander 10 Roubi, Ahmed 9 Kunisch, Karl 9 Prieur, Christophe 8 Coron, Jean-Michel 8 Göttlich, Simone 8 Hante, Falk M. 8 Schmidt, Martin 6 Pflug, Lukas 6 Zuazua, Enrique 5 Bastin, Georges 5 Krstić, Miroslav 5 Li, Tatsien 4 Bermúdez, Alfredo 4 Boufi, Karima 4 Clason, Christian 4 Grimm, Volker 4 Grüne, Lars 4 Gu, Qilong 4 Klar, Axel 4 López, Xián 4 Nicaise, Serge 4 Piccoli, Benedetto 4 Pignotti, Cristina 4 Schewe, Lars 4 Shang, Peipei 4 Trélat, Emmanuel 4 Vázquez-Cendón, María Elena 4 Wang, Zhi-Qiang 4 Wang, Zhiqiang 4 Xu, Huifu 3 Aamo, Ole Morten 3 Alvarez-Vázquez, Lino Jose 3 D’Apice, Ciro 3 Delle Monache, Maria Laura 3 El Haffari, Mostafa 3 Garavello, Mauro 3 Girard, Antoine 3 Goatin, Paola 3 Hayat, Amaury 3 Kröner, Axel 3 Manita, Larissa A. 3 Martin, Alexander 3 Martinez, Aurea 3 Schillen, Peter 3 Schleper, Veronika 3 Schultz, Rüdiger 3 Schuster, Michael J. 3 Sirvent, Mathias 3 Spinola, Michele 3 Steinbach, Marc Christian 3 Sun, Hailin 3 Tröltzsch, Fredi 3 Ulbrich, Stefan 3 Wintergerst, David 3 Xu, Gen-Qi 3 Zelikin, Mikhail Il’ich 3 Zhang, Liguo 2 Addoune, Smail 2 Ammar, Elsaid Ebrahim 2 Banda, Mapundi Kondwani 2 Barnard, Richard C. 2 Bayen, Alexandre M. 2 Borsche, Raul 2 Boutoulout, Ali 2 Bressan, Alberto 2 Briani, Maya 2 Chang, Ching-Ter 2 Chitour, Yacine 2 Colombo, Rinaldo M. 2 Corli, Andrea 2 Crouzeix, Jean-Pierre 2 El Alami, Abdessamad 2 Elosmani, Mohamed 2 Espejo, Inmaculada 2 Fardigola, Larissa V. 2 Ferland, Jacques A. 2 García-Chan, Néstor 2 Gerdts, Matthias 2 Gerster, Stephan 2 Glass, Olivier 2 Göckler, Tanja 2 Goudiaby, Mouhamadou Samsidy 2 Grossmann, Christian 2 Guglielmi, Roberto 2 Heitsch, Holger 2 Hu, Long 2 Jiang, Bin 2 Jiao, Hongwei 2 Kmit, Irina 2 Kolb, Oliver 2 Kreiss, Gunilla 2 Lamare, Pierre-Olivier 2 Liu, Qian 2 Liu, Yongchao 2 López-Cerdá, Marco Antonio 2 Maksimov, Vyacheslav Ivanovich ...and 342 more Authors all top 5 Cited in 106 Serials 19 Automatica 18 SIAM Journal on Control and Optimization 18 Systems & Control Letters 14 Networks and Heterogeneous Media 13 Journal of Optimization Theory and Applications 11 Optimization 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 Mathematical Methods in the Applied Sciences 9 Mathematical Control and Related Fields 8 Computational Optimization and Applications 7 Journal of Computational and Applied Mathematics 7 Journal of Differential Equations 7 SIAM Journal on Scientific Computing 5 Journal of Mathematical Analysis and Applications 5 European Journal of Operational Research 5 Mathematical Programming. Series A. Series B 4 International Journal of Control 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Chinese Annals of Mathematics. Series B 4 Journal of Global Optimization 4 European Journal of Control 4 Vietnam Journal of Mathematics 4 Mathematical Methods of Operations Research 3 Computers & Mathematics with Applications 3 Journal of Computational Physics 3 MCSS. Mathematics of Control, Signals, and Systems 3 Journal of Scientific Computing 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Mathematical Analysis 3 Top 3 Mathematical Problems in Engineering 3 International Journal of Applied Mathematics and Computer Science 3 Optimization and Engineering 3 Journal of Hyperbolic Differential Equations 2 Computers and Fluids 2 Ukrainian Mathematical Journal 2 Applied Mathematics and Computation 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Numerical Analysis 2 Optimal Control Applications & Methods 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Computers & Operations Research 2 Journal of Dynamics and Differential Equations 2 SIAM Journal on Optimization 2 Journal of Mathematical Sciences (New York) 2 Discrete and Continuous Dynamical Systems 2 Optimization Methods & Software 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Dynamical and Control Systems 2 RAIRO. Operations Research 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 1 Applicable Analysis 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Optimization 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Journal of Approximation Theory 1 Mathematics and Computers in Simulation 1 Opsearch 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Constructive Approximation 1 Numerical Methods for Partial Differential Equations 1 Asia-Pacific Journal of Operational Research 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Pattern Recognition 1 SIAM Journal on Applied Mathematics 1 Journal of Computer and Systems Sciences International 1 Set-Valued Analysis 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Discrete Dynamics in Nature and Society 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics and Computing 1 SIAM Journal on Applied Dynamical Systems 1 4OR 1 Journal of Industrial and Management Optimization 1 GAMM-Mitteilungen 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Nonlinear Analysis. Hybrid Systems ...and 6 more Serials all top 5 Cited in 32 Fields 171 Partial differential equations (35-XX) 146 Systems theory; control (93-XX) 109 Operations research, mathematical programming (90-XX) 96 Calculus of variations and optimal control; optimization (49-XX) 55 Numerical analysis (65-XX) 43 Fluid mechanics (76-XX) 12 Mechanics of deformable solids (74-XX) 8 Operator theory (47-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 4 Ordinary differential equations (34-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Probability theory and stochastic processes (60-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.