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## Gugat, Martin

Compute Distance To:
 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
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#### 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
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#### 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
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#### 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)

#### 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 1032.93030
Gugat, M.; Leugering, G.
2003
Existence of classical solutions and feedback stabilization for the flow in gas networks. Zbl 1429.76090
Gugat, Martin; Herty, Michaël
2011
Optimal control for traffic flow networks. Zbl 1079.49024
Gugat, M.; Herty, M.; Klar, A.; Leugering, G.
2005
Gas flow in fan-shaped networks: classical solutions and feedback stabilization. Zbl 1237.35107
Gugat, Martin; Dick, Markus; Leugering, Günter
2011
Stationary states in gas networks. Zbl 1332.93154
Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter
2015
Global controllability between steady supercritical flows in channel networks. Zbl 1047.93028
Gugat, Martin; Leugering, Günter; Schmidt, E. J. P. Georg
2004
Flow control in gas networks: exact controllability to a given demand. Zbl 1394.76112
Gugat, M.; Herty, M.; Schleper, V.
2011
Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059
Dick, Markus; Gugat, Martin; Leugering, Günter
2010
Stars of vibrating strings: switching boundary feedback stabilization. Zbl 1258.93088
Gugat, Martin; Sigalotti, Mario
2010
Global boundary controllability of the Saint-Venant system for sloped canals with friction. Zbl 1154.76009
Gugat, M.; Leugering, G.
2009
Optimal switching boundary control of a string to rest in finite time. Zbl 1242.49008
Gugat, Martin
2008
$$L^\infty$$-norm minimal control of the wave equation: on the weakness of the bang-bang principle. Zbl 1133.49006
Gugat, Martin; Leugering, Gunter
2008
$$L^{p}$$-optimal boundary control for the wave equation. Zbl 1083.49017
Gugat, M.; Leugering, G.; Sklyar, G.
2005
Prox-regularization methods for generalized fractional programming. Zbl 0973.90078
Gugat, M.
1998
Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Zbl 1335.49012
Gugat, Martin; Trélat, Emmanuel; Zuazua, Enrique
2016
Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks. Zbl 1335.49011
Gugat, Martin; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang
2015
Boundary feedback stabilization by time delay for one-dimensional wave equations. Zbl 1198.93177
Gugat, Martin
2010
The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations. Zbl 1201.90186
Gugat, Martin; Herty, Michael
2010
Optimal boundary control and boundary stabilization of hyperbolic systems. Zbl 1328.49001
Gugat, Martin
2015
Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004
Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika
2012
$$H^2$$-stabilization of the isothermal Euler equations: a Lyapunov function approach. Zbl 1253.76112
Gugat, Martin; Leugering, Günter; Tamasoiu, Simona
2012
An example for the switching delay feedback stabilization of an infinite dimensional system: the boundary stabilization of a string. Zbl 1216.93084
Gugat, Martin; Tucsnak, Marius
2011
Optimal nodal control of networked hyperbolic systems: evaluation of derivatives. Zbl 1165.49307
Gugat, Martin
2005
Networks of pipelines for gas with nonconstant compressibility factor: stationary states. Zbl 1416.76253
Gugat, Martin; Schultz, Rüdiger; Wintergerst, David
2018
MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. Zbl 1391.49040
Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David
2018
Boundary feedback stabilization of the telegraph equation: decay rates for vanishing damping term. Zbl 1288.93066
Gugat, Martin
2014
Approximation of semigroups and related operator functions by resolvent series. Zbl 1222.65052
Grimm, Volker; Gugat, Martin
2010
Modelling, stabilization, and control of flow in networks of open channels. Zbl 0987.93056
Gugat, Martin; Leugering, Günter; Schittkowski, Klaus; Schmidt, E. J. P. Georg
2001
A fast algorithm for a class of generalized fractional programs. Zbl 0881.90113
Gugat, Martin
1996
One-sided derivatives for the value function in convex parametric programming. Zbl 0822.90130
Gugat, M.
1994
Neumann boundary feedback stabilization for a nonlinear wave equation: A strict $$H^2$$-Lyapunov function. Zbl 1366.76079
Gugat, Martin; Leugering, Günter; Wang, Ke
2017
Boundary feedback stabilization of the Schlögl system. Zbl 1309.93121
Gugat, Martin; Tröltzsch, Fredi
2015
Optimal distributed control of the wave equation subject to state constraints. Zbl 1176.35176
Gugat, Martin; Keimer, Alexander; Leugering, Günter
2009
Boundary controllability between sub- and supercritical flow. Zbl 1047.35087
Gugat, Martin
2003
Controllability of a slowly rotating Timoshenko beam. Zbl 1031.93103
Gugat, Martin
2001
A strict $$H^1$$-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction. Zbl 1242.76296
Dick, Markus; Gugat, Martin; Leugering, Günter
2011
Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction. Zbl 1368.76010
Gugat, Martin; Dick, Markus
2011
Penalty techniques for state constrained optimal control problems with the wave equation. Zbl 1202.49037
Gugat, Martin
2010
Weber problems with mixed distances and regional demand. Zbl 1146.90464
Gugat, Martin; Pfeiffer, Barbara
2007
Optimal boundary feedback stabilization of a string with moving boundary. Zbl 1141.93047
Gugat, Martin
2008
Solutions of $$L^p$$-norm-minimal control problems for the wave equation. Zbl 1119.90353
Gugat, Martin; Leugering, G.
2002
Towards simulation based mixed integer optimization with differential equations. Zbl 1397.90308
Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David
2018
The isothermal Euler equations for ideal gas with source term: product solutions, flow reversal and no blow up. Zbl 1372.35224
Gugat, Martin; Ulbrich, Stefan
2017
Norm-minimal Neumann boundary control of the wave equation. Zbl 1314.35205
Gugat, Martin
2015
Contamination source determination in water distribution networks. Zbl 1260.49005
Gugat, Martin
2012
Analytic solutions of $$L^{\infty}$$ optimal control problems for the wave equation. Zbl 1012.49025
Gugat, M.
2002
Regularization of $$L^\infty$$-optimal control problems for distributed parameter systems. Zbl 1015.49020
Gugat, M.; Leugering, G.
2002
Parametric disjunctive programming: One-sided differentiability of the value function. Zbl 0886.90113
Gugat, M.
1997
Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms. Zbl 1421.35213
Gugat, Martin; Perrollaz, Vincent; Rosier, Lionel
2018
Coupling conditions for the transition from supersonic to subsonic fluid states. Zbl 1379.35241
Gugat, Martin; Herty, Michael; Müller, Siegfried
2017
Exponential stabilization of the wave equation by Dirichlet integral feedback. Zbl 1339.35156
Gugat, Martin
2015
A note on the approximation of Dirichlet boundary control problems for the wave equation on curved domains. Zbl 1273.49009
Gugat, M.; Sokolowski, J.
2013
Optimal boundary control of the wave equation with pointwise control constraints. Zbl 1226.49023
Gugat, Martin; Grimm, Volker
2011
Optimal boundary control of a string to rest in finite time with continuous state. Zbl 1092.49020
Gugat, Martin
2006
An algorithm for Chebyshev approximation by rationals with constrained denominators. Zbl 0886.41013
Gugat, M.
1996
On the turnpike phenomenon for optimal boundary control problems with hyperbolic systems. Zbl 1418.35252
Gugat, Martin; Hante, Falk M.
2019
Exact boundary controllability for free traffic flow with Lipschitz continuous state. Zbl 1400.90098
Gugat, Martin
2016
Exact penalization of terminal constraints for optimal control problems. Zbl 1353.49005
Gugat, Martin; Zuazua, Enrique
2016
Optimal energy control in finite time by varying the length of the string. Zbl 1144.49016
Gugat, Martin
2007
Conservation law constrained optimization based upon Front-Tracking. Zbl 1116.65079
Gugat, Martin; Herty, Michaël; Klar, Axel; Leugering, Gunter
2006
$$L^1$$-optimal boundary control of a string to rest in finite time. Zbl 1108.49017
Gugat, Martin
2006
A Newton method for the computation of time-optimal boundary controls of one-dimensional vibrating systems. Zbl 0953.93042
Gugat, Martin
2000
A parametric view on the Mangasarian-Fromovitz constraint qualification. Zbl 0976.90111
Gugat, Martin
1999
Time-parametric control: Uniform convergence of the optimal value functions of discretized problems. Zbl 0951.49032
Gugat, Martin
1999
The Newton differential correction algorithm for rational Chebyshev approximation with constrained denominators. Zbl 0860.65006
Gugat, M.
1996
Optimization under functional constraints (semi-infinite programming) and applications. Zbl 0770.90070
Hettich, Rainer; Gugat, Martin
1992
Stationary gas networks with compressor control and random loads: optimization with probabilistic constraints. Zbl 1427.76234
Gugat, Martin; Schuster, Michael; Weber, Gerhard-Wilhelm
2018
Transient flow in gas networks: traveling waves. Zbl 1442.35316
Gugat, Martin; Wintergerst, David
2018
Lipschitz continuity of the value function in mixed-integer optimal control problems. Zbl 1439.49047
Gugat, Martin; Hante, Falk M.
2017
Erratum to: “Flow control in gas networks: exact controllability to a given demand”. Zbl 06430991
Gugat, M.; Herty, M.; Schleper, V.
2015
Stabilization of networked hyperbolic systems with boundary feedback. Zbl 1327.93312
Dick, Markus; Gugat, Martin; Herty, Michael; Leugering, Günter; Steffensen, Sonja; Wang, Ke
2014
Stabilization of the gas flow in star-shaped networks by feedback controls with varying delay. Zbl 1264.93206
Gugat, Martin; Dick, Markus; Leugering, Günter
2013
A smoothed penalty iteration for state constrained optimal control problems for partial differential equations. Zbl 1290.90072
Gugat, Martin; Herty, Michael
2013
Lavrentiev-prox-regularization for optimal control of PDEs with state constraints. Zbl 1200.65051
Gugat, Martin
2009
Optimal boundary control in flood management. Zbl 1239.49030
Gugat, Martin
2007
Error bounds for infinite systems of convex inequalities without Slater’s condition. Zbl 0997.90090
Gugat, Martin
2000
Convex semi-infinite parametric programming: Uniform convergence of the optimal value functions of discretized problems. Zbl 0956.90054
Gugat, M.
1999
Computation of lower bounds for spectra via fractional semi-infinite programming. Zbl 0841.65091
Gugat, Martin
1995
A turnpike result for convex hyperbolic optimal boundary control problems. Zbl 1458.35259
Gugat, Martin
2019
On the limits of stabilizability for networks of strings. Zbl 1425.93229
Gugat, Martin; Gerster, Stephan
2019
On the relaxation approximation for $$2\times 2$$ hyperbolic balance laws. Zbl 1407.65105
Gugat, Martin; Herty, Michael; Yu, Hui
2018
Lipschitz solutions of initial boundary value problems for balance laws. Zbl 1394.35261
Gugat, Martin; Ulbrich, Stefan
2018
On the relaxation approximation of boundary control of the isothermal Euler equations. Zbl 1253.93110
Dick, M.; Gugat, M.; Herty, M.; Steffensen, S.
2012
Lavrentiev prox-regularization methods for optimal control problems with pointwise state constraints. Zbl 1197.49042
Gugat, Martin
2009
Nodal control of conservation laws on networks. Sensitivity calculations for the control of systems of conservation laws with source terms on networks. Zbl 1097.65071
Gugat, Martin
2005
Parametric convex optimization: One-sided derivatives of the value function in singular parameters. Zbl 0961.90114
Gugat, Martin
1998
Semi-infinite terminal problems: A Newton type method. Zbl 0916.65066
Gugat, Martin
1998
Corrigendum: One-sided derivatives for the value function in convex parametric programming. Zbl 0864.90113
Gugat, M.
1996
On the turnpike phenomenon for optimal boundary control problems with hyperbolic systems. Zbl 1418.35252
Gugat, Martin; Hante, Falk M.
2019
A turnpike result for convex hyperbolic optimal boundary control problems. Zbl 1458.35259
Gugat, Martin
2019
On the limits of stabilizability for networks of strings. Zbl 1425.93229
Gugat, Martin; Gerster, Stephan
2019
Networks of pipelines for gas with nonconstant compressibility factor: stationary states. Zbl 1416.76253
Gugat, Martin; Schultz, Rüdiger; Wintergerst, David
2018
MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. Zbl 1391.49040
Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David
2018
Towards simulation based mixed integer optimization with differential equations. Zbl 1397.90308
Gugat, Martin; Leugering, Günter; Martin, Alexander; Schmidt, Martin; Sirvent, Mathias; Wintergerst, David
2018
Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms. Zbl 1421.35213
Gugat, Martin; Perrollaz, Vincent; Rosier, Lionel
2018
Stationary gas networks with compressor control and random loads: optimization with probabilistic constraints. Zbl 1427.76234
Gugat, Martin; Schuster, Michael; Weber, Gerhard-Wilhelm
2018
Transient flow in gas networks: traveling waves. Zbl 1442.35316
Gugat, Martin; Wintergerst, David
2018
On the relaxation approximation for $$2\times 2$$ hyperbolic balance laws. Zbl 1407.65105
Gugat, Martin; Herty, Michael; Yu, Hui
2018
Lipschitz solutions of initial boundary value problems for balance laws. Zbl 1394.35261
Gugat, Martin; Ulbrich, Stefan
2018
Neumann boundary feedback stabilization for a nonlinear wave equation: A strict $$H^2$$-Lyapunov function. Zbl 1366.76079
Gugat, Martin; Leugering, Günter; Wang, Ke
2017
The isothermal Euler equations for ideal gas with source term: product solutions, flow reversal and no blow up. Zbl 1372.35224
Gugat, Martin; Ulbrich, Stefan
2017
Coupling conditions for the transition from supersonic to subsonic fluid states. Zbl 1379.35241
Gugat, Martin; Herty, Michael; Müller, Siegfried
2017
Lipschitz continuity of the value function in mixed-integer optimal control problems. Zbl 1439.49047
Gugat, Martin; Hante, Falk M.
2017
Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property. Zbl 1335.49012
Gugat, Martin; Trélat, Emmanuel; Zuazua, Enrique
2016
Exact boundary controllability for free traffic flow with Lipschitz continuous state. Zbl 1400.90098
Gugat, Martin
2016
Exact penalization of terminal constraints for optimal control problems. Zbl 1353.49005
Gugat, Martin; Zuazua, Enrique
2016
Stationary states in gas networks. Zbl 1332.93154
Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter
2015
Analysis of a system of nonlocal conservation laws for multi-commodity flow on networks. Zbl 1335.49011
Gugat, Martin; Keimer, Alexander; Leugering, Günter; Wang, Zhiqiang
2015
Optimal boundary control and boundary stabilization of hyperbolic systems. Zbl 1328.49001
Gugat, Martin
2015
Boundary feedback stabilization of the Schlögl system. Zbl 1309.93121
Gugat, Martin; Tröltzsch, Fredi
2015
Norm-minimal Neumann boundary control of the wave equation. Zbl 1314.35205
Gugat, Martin
2015
Exponential stabilization of the wave equation by Dirichlet integral feedback. Zbl 1339.35156
Gugat, Martin
2015
Erratum to: “Flow control in gas networks: exact controllability to a given demand”. Zbl 06430991
Gugat, M.; Herty, M.; Schleper, V.
2015
Boundary feedback stabilization of the telegraph equation: decay rates for vanishing damping term. Zbl 1288.93066
Gugat, Martin
2014
Stabilization of networked hyperbolic systems with boundary feedback. Zbl 1327.93312
Dick, Markus; Gugat, Martin; Herty, Michael; Leugering, Günter; Steffensen, Sonja; Wang, Ke
2014
A note on the approximation of Dirichlet boundary control problems for the wave equation on curved domains. Zbl 1273.49009
Gugat, M.; Sokolowski, J.
2013
Stabilization of the gas flow in star-shaped networks by feedback controls with varying delay. Zbl 1264.93206
Gugat, Martin; Dick, Markus; Leugering, Günter
2013
A smoothed penalty iteration for state constrained optimal control problems for partial differential equations. Zbl 1290.90072
Gugat, Martin; Herty, Michael
2013
Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004
Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika
2012
$$H^2$$-stabilization of the isothermal Euler equations: a Lyapunov function approach. Zbl 1253.76112
Gugat, Martin; Leugering, Günter; Tamasoiu, Simona
2012
Contamination source determination in water distribution networks. Zbl 1260.49005
Gugat, Martin
2012
On the relaxation approximation of boundary control of the isothermal Euler equations. Zbl 1253.93110
Dick, M.; Gugat, M.; Herty, M.; Steffensen, S.
2012
Existence of classical solutions and feedback stabilization for the flow in gas networks. Zbl 1429.76090
Gugat, Martin; Herty, Michaël
2011
Gas flow in fan-shaped networks: classical solutions and feedback stabilization. Zbl 1237.35107
Gugat, Martin; Dick, Markus; Leugering, Günter
2011
Flow control in gas networks: exact controllability to a given demand. Zbl 1394.76112
Gugat, M.; Herty, M.; Schleper, V.
2011
An example for the switching delay feedback stabilization of an infinite dimensional system: the boundary stabilization of a string. Zbl 1216.93084
Gugat, Martin; Tucsnak, Marius
2011
A strict $$H^1$$-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction. Zbl 1242.76296
Dick, Markus; Gugat, Martin; Leugering, Günter
2011
Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction. Zbl 1368.76010
Gugat, Martin; Dick, Markus
2011
Optimal boundary control of the wave equation with pointwise control constraints. Zbl 1226.49023
Gugat, Martin; Grimm, Volker
2011
Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059
Dick, Markus; Gugat, Martin; Leugering, Günter
2010
Stars of vibrating strings: switching boundary feedback stabilization. Zbl 1258.93088
Gugat, Martin; Sigalotti, Mario
2010
Boundary feedback stabilization by time delay for one-dimensional wave equations. Zbl 1198.93177
Gugat, Martin
2010
The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations. Zbl 1201.90186
Gugat, Martin; Herty, Michael
2010
Approximation of semigroups and related operator functions by resolvent series. Zbl 1222.65052
Grimm, Volker; Gugat, Martin
2010
Penalty techniques for state constrained optimal control problems with the wave equation. Zbl 1202.49037
Gugat, Martin
2010
Global boundary controllability of the Saint-Venant system for sloped canals with friction. Zbl 1154.76009
Gugat, M.; Leugering, G.
2009
Optimal distributed control of the wave equation subject to state constraints. Zbl 1176.35176
Gugat, Martin; Keimer, Alexander; Leugering, Günter
2009
Lavrentiev-prox-regularization for optimal control of PDEs with state constraints. Zbl 1200.65051
Gugat, Martin
2009
Lavrentiev prox-regularization methods for optimal control problems with pointwise state constraints. Zbl 1197.49042
Gugat, Martin
2009
Optimal switching boundary control of a string to rest in finite time. Zbl 1242.49008
Gugat, Martin
2008
$$L^\infty$$-norm minimal control of the wave equation: on the weakness of the bang-bang principle. Zbl 1133.49006
Gugat, Martin; Leugering, Gunter
2008
Optimal boundary feedback stabilization of a string with moving boundary. Zbl 1141.93047
Gugat, Martin
2008
Weber problems with mixed distances and regional demand. Zbl 1146.90464
Gugat, Martin; Pfeiffer, Barbara
2007
Optimal energy control in finite time by varying the length of the string. Zbl 1144.49016
Gugat, Martin
2007
Optimal boundary control in flood management. Zbl 1239.49030
Gugat, Martin
2007
Optimal boundary control of a string to rest in finite time with continuous state. Zbl 1092.49020
Gugat, Martin
2006
Conservation law constrained optimization based upon Front-Tracking. Zbl 1116.65079
Gugat, Martin; Herty, Michaël; Klar, Axel; Leugering, Gunter
2006
$$L^1$$-optimal boundary control of a string to rest in finite time. Zbl 1108.49017
Gugat, Martin
2006
Optimal control for traffic flow networks. Zbl 1079.49024
Gugat, M.; Herty, M.; Klar, A.; Leugering, G.
2005
$$L^{p}$$-optimal boundary control for the wave equation. Zbl 1083.49017
Gugat, M.; Leugering, G.; Sklyar, G.
2005
Optimal nodal control of networked hyperbolic systems: evaluation of derivatives. Zbl 1165.49307
Gugat, Martin
2005
Nodal control of conservation laws on networks. Sensitivity calculations for the control of systems of conservation laws with source terms on networks. Zbl 1097.65071
Gugat, Martin
2005
Global controllability between steady supercritical flows in channel networks. Zbl 1047.93028
Gugat, Martin; Leugering, Günter; Schmidt, E. J. P. Georg
2004
Global boundary controllability of the de St. Venant equations between steady states. Zbl 1032.93030
Gugat, M.; Leugering, G.
2003
Boundary controllability between sub- and supercritical flow. Zbl 1047.35087
Gugat, Martin
2003
Solutions of $$L^p$$-norm-minimal control problems for the wave equation. Zbl 1119.90353
Gugat, Martin; Leugering, G.
2002
Analytic solutions of $$L^{\infty}$$ optimal control problems for the wave equation. Zbl 1012.49025
Gugat, M.
2002
Regularization of $$L^\infty$$-optimal control problems for distributed parameter systems. Zbl 1015.49020
Gugat, M.; Leugering, G.
2002
Modelling, stabilization, and control of flow in networks of open channels. Zbl 0987.93056
Gugat, Martin; Leugering, Günter; Schittkowski, Klaus; Schmidt, E. J. P. Georg
2001
Controllability of a slowly rotating Timoshenko beam. Zbl 1031.93103
Gugat, Martin
2001
A Newton method for the computation of time-optimal boundary controls of one-dimensional vibrating systems. Zbl 0953.93042
Gugat, Martin
2000
Error bounds for infinite systems of convex inequalities without Slater’s condition. Zbl 0997.90090
Gugat, Martin
2000
A parametric view on the Mangasarian-Fromovitz constraint qualification. Zbl 0976.90111
Gugat, Martin
1999
Time-parametric control: Uniform convergence of the optimal value functions of discretized problems. Zbl 0951.49032
Gugat, Martin
1999
Convex semi-infinite parametric programming: Uniform convergence of the optimal value functions of discretized problems. Zbl 0956.90054
Gugat, M.
1999
Prox-regularization methods for generalized fractional programming. Zbl 0973.90078
Gugat, M.
1998
Parametric convex optimization: One-sided derivatives of the value function in singular parameters. Zbl 0961.90114
Gugat, Martin
1998
Semi-infinite terminal problems: A Newton type method. Zbl 0916.65066
Gugat, Martin
1998
Parametric disjunctive programming: One-sided differentiability of the value function. Zbl 0886.90113
Gugat, M.
1997
A fast algorithm for a class of generalized fractional programs. Zbl 0881.90113
Gugat, Martin
1996
An algorithm for Chebyshev approximation by rationals with constrained denominators. Zbl 0886.41013
Gugat, M.
1996
The Newton differential correction algorithm for rational Chebyshev approximation with constrained denominators. Zbl 0860.65006
Gugat, M.
1996
Corrigendum: One-sided derivatives for the value function in convex parametric programming. Zbl 0864.90113
Gugat, M.
1996
Computation of lower bounds for spectra via fractional semi-infinite programming. Zbl 0841.65091
Gugat, Martin
1995
One-sided derivatives for the value function in convex parametric programming. Zbl 0822.90130
Gugat, M.
1994
Optimization under functional constraints (semi-infinite programming) and applications. Zbl 0770.90070
Hettich, Rainer; Gugat, Martin
1992
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#### 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
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#### 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)

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