## Gugat, Martin

Compute Distance To:
 Author ID: gugat.martin Published as: Gugat, Martin; Gugat, M. External Links: MGP · ORCID · Wikidata · IdRef
 Documents Indexed: 105 Publications since 1992, including 1 Book Reviewing Activity: 35 Reviews Co-Authors: 47 Co-Authors with 64 Joint Publications 1,410 Co-Co-Authors
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### Co-Authors

 41 single-authored 24 Leugering, Günter 14 Herty, Michael Matthias 7 Dick, Markus 5 Wintergerst, David 4 Schultz, Rüdiger 4 Schuster, Michael J. 3 Hante, Falk M. 3 Klar, Axel 3 Schleper, Veronika 3 Steffensen, Sonja 3 Zuazua, Enrique 2 Giesselmann, Jan 2 Grimm, Volker 2 Heitsch, Holger 2 Henrion, René 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 Adelhütte, Dennis 1 Aßmann, Denis 1 Farshbaf-Shaker, Mohammad Hassan 1 Gerster, Stephan 1 Grandòn, Tatiana Gonzàlez 1 Hettich, Rainer 1 Hirsch-Dick, Markus 1 Kunkel, Teresa 1 Liers, Frauke 1 Mateos, Mariano 1 Müller, Siegfried 1 Nitsche, Sabrina 1 Perrollaz, Vincent 1 Pfeiffer, Barbara 1 Rosier, Lionel 1 Schittkowski, Klaus 1 Sigalotti, Mario 1 Sklyar, Grigory Mikhailovitch 1 Sokołowski, Jan 1 Stingl, Michael 1 Strauch, Elisa 1 Tamasoiu, Simona Oana 1 Trélat, Emmanuel 1 Tucsnak, Marius 1 Weber, Gerhard-Wilhelm 1 Yu, Hui
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### Serials

 9 SIAM Journal on Control and Optimization 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Networks and Heterogeneous Media 5 Journal of Optimization Theory and Applications 4 Systems & Control Letters 4 Optimization 3 Mathematical Methods in the Applied Sciences 3 IMA Journal of Mathematical Control and Information 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 MCSS. Mathematics of Control, Signals, and Systems 2 Mathematical Programming. Series A. Series B 2 Mathematical Problems in Engineering 2 Vietnam Journal of Mathematics 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 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 Optimization Methods & Software 1 Mathematical Methods of Operations Research 1 International Journal of Applied Mathematics and Computer Science 1 Optimization and Engineering 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

 56 Partial differential equations (35-XX) 52 Systems theory; control (93-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 31 Operations research, mathematical programming (90-XX) 25 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

96 Publications have been cited 791 times in 408 Documents Cited by Year
Existence of classical solutions and feedback stabilization for the flow in gas networks. Zbl 1429.76090
Gugat, Martin; Herty, Michaël
2011
Global boundary controllability of the de St. Venant equations between steady states. Zbl 1032.93030
Gugat, M.; Leugering, G.
2003
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
Flow control in gas networks: exact controllability to a given demand. Zbl 1394.76112
Gugat, M.; Herty, M.; Schleper, V.
2011
Global controllability between steady supercritical flows in channel networks. Zbl 1047.93028
Gugat, Martin; Leugering, Günter; Schmidt, E. J. P. Georg
2004
Stationary states in gas networks. Zbl 1332.93154
Gugat, Martin; Hante, Falk M.; Hirsch-Dick, Markus; Leugering, Günter
2015
Classical solutions and feedback stabilization for the gas flow in a sequence of pipes. Zbl 1263.76059
Dick, Markus; Gugat, Martin; Leugering, Günter
2010
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
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
Boundary feedback stabilization by time delay for one-dimensional wave equations. Zbl 1198.93177
Gugat, Martin
2010
Optimal switching boundary control of a string to rest in finite time. Zbl 1242.49008
Gugat, Martin
2008
$$L^{p}$$-optimal boundary control for the wave equation. Zbl 1083.49017
Gugat, M.; Leugering, G.; Sklyar, G.
2005
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
$$L^\infty$$-norm minimal control of the wave equation: on the weakness of the bang-bang principle. Zbl 1133.49006
Gugat, Martin; Leugering, Gunter
2008
Prox-regularization methods for generalized fractional programming. Zbl 0973.90078
Gugat, M.
1998
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
Optimal boundary control and boundary stabilization of hyperbolic systems. Zbl 1328.49001
Gugat, Martin
2015
Optimal nodal control of networked hyperbolic systems: evaluation of derivatives. Zbl 1165.49307
Gugat, Martin
2005
The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations. Zbl 1201.90186
Gugat, Martin; Herty, Michael
2010
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
$$H^2$$-stabilization of the isothermal Euler equations: a Lyapunov function approach. Zbl 1253.76112
Gugat, Martin; Leugering, Günter; Tamasoiu, Simona
2012
Optimal distributed control of the wave equation subject to state constraints. Zbl 1176.35176
Gugat, Martin; Keimer, Alexander; Leugering, Günter
2009
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
On the turnpike phenomenon for optimal boundary control problems with hyperbolic systems. Zbl 1418.35252
Gugat, Martin; Hante, Falk M.
2019
Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004
Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika
2012
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
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
Boundary feedback stabilization of the telegraph equation: decay rates for vanishing damping term. Zbl 1288.93066
Gugat, Martin
2014
Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction. Zbl 1368.76010
Gugat, Martin; Dick, Markus
2011
Approximation of semigroups and related operator functions by resolvent series. Zbl 1222.65052
Grimm, Volker; Gugat, Martin
2010
One-sided derivatives for the value function in convex parametric programming. Zbl 0822.90130
Gugat, M.
1994
A fast algorithm for a class of generalized fractional programs. Zbl 0881.90113
Gugat, Martin
1996
Controllability of a slowly rotating Timoshenko beam. Zbl 1031.93103
Gugat, Martin
2001
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
Optimal boundary feedback stabilization of a string with moving boundary. Zbl 1141.93047
Gugat, Martin
2008
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
Networks of pipelines for gas with nonconstant compressibility factor: stationary states. Zbl 1416.76253
Gugat, Martin; Schultz, Rüdiger; Wintergerst, David
2018
Weber problems with mixed distances and regional demand. Zbl 1146.90464
Gugat, Martin; Pfeiffer, Barbara
2007
Penalty techniques for state constrained optimal control problems with the wave equation. Zbl 1202.49037
Gugat, Martin
2010
Boundary controllability between sub- and supercritical flow. Zbl 1047.35087
Gugat, Martin
2003
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
Parametric disjunctive programming: One-sided differentiability of the value function. Zbl 0886.90113
Gugat, M.
1997
Solutions of $$L^p$$-norm-minimal control problems for the wave equation. Zbl 1119.90353
Gugat, Martin; Leugering, G.
2002
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
Exponential stabilization of the wave equation by Dirichlet integral feedback. Zbl 1339.35156
Gugat, Martin
2015
Optimal boundary control of the wave equation with pointwise control constraints. Zbl 1226.49023
Gugat, Martin; Grimm, Volker
2011
Regularization of $$L^\infty$$-optimal control problems for distributed parameter systems. Zbl 1015.49020
Gugat, M.; Leugering, G.
2002
Norm-minimal Neumann boundary control of the wave equation. Zbl 1314.35205
Gugat, Martin
2015
Exact penalization of terminal constraints for optimal control problems. Zbl 1353.49005
Gugat, Martin; Zuazua, Enrique
2016
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
A parametric view on the Mangasarian-Fromovitz constraint qualification. Zbl 0976.90111
Gugat, Martin
1999
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
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
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
Transient flow in gas networks: traveling waves. Zbl 1442.35316
Gugat, Martin; Wintergerst, David
2018
Lavrentiev-prox-regularization for optimal control of PDEs with state constraints. Zbl 1200.65051
Gugat, Martin
2009
Optimization under functional constraints (semi-infinite programming) and applications. Zbl 0770.90070
Hettich, Rainer; Gugat, Martin
1992
$$L^1$$-optimal boundary control of a string to rest in finite time. Zbl 1108.49017
Gugat, Martin
2006
Time-parametric control: Uniform convergence of the optimal value functions of discretized problems. Zbl 0951.49032
Gugat, Martin
1999
A Newton method for the computation of time-optimal boundary controls of one-dimensional vibrating systems. Zbl 0953.93042
Gugat, Martin
2000
The Newton differential correction algorithm for rational Chebyshev approximation with constrained denominators. Zbl 0860.65006
Gugat, M.
1996
Erratum to: “Flow control in gas networks: exact controllability to a given demand”. Zbl 1464.76183
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
Lipschitz solutions of initial boundary value problems for balance laws. Zbl 1394.35261
Gugat, Martin; Ulbrich, Stefan
2018
Stationary gas networks with compressor control and random loads: optimization with probabilistic constraints. Zbl 1427.76234
Gugat, Martin; Schuster, Michael
2018
On the limits of stabilizability for networks of strings. Zbl 1425.93229
Gugat, Martin; Gerster, Stephan
2019
Error bounds for infinite systems of convex inequalities without Slater’s condition. Zbl 0997.90090
Gugat, Martin
2000
Optimal boundary control in flood management. Zbl 1239.49030
Gugat, Martin
2007
Computation of lower bounds for spectra via fractional semi-infinite programming. Zbl 0841.65091
Gugat, Martin
1995
Convex semi-infinite parametric programming: Uniform convergence of the optimal value functions of discretized problems. Zbl 0956.90054
Gugat, M.
1999
A turnpike result for convex hyperbolic optimal boundary control problems. Zbl 1458.35259
Gugat, Martin
2019
Optimal Neumann boundary control of a vibrating string with uncertain initial data and probabilistic terminal constraints. Zbl 1446.49004
Farshbaf-Shaker, M. Hassan; Gugat, Martin; Heitsch, Holger; Henrion, René
2020
A smoothed penalty iteration for state constrained optimal control problems for partial differential equations. Zbl 1290.90072
Gugat, Martin; Herty, Michael
2013
Exact boundary controllability for free traffic flow with Lipschitz continuous state. Zbl 1400.90098
Gugat, Martin
2016
Joint model of probabilistic-robust (probust) constraints applied to gas network optimization. Zbl 1477.90012
Adelhütte, Dennis; Aßmann, Denis; Grandòn, Tatiana Gonzàlez; Gugat, Martin; Heitsch, Holger; Henrion, René; Liers, Frauke; Nitsche, Sabrina; Schultz, Rüdiger; Stingl, Michael; Wintergerst, David
2021
Lavrentiev prox-regularization methods for optimal control problems with pointwise state constraints. Zbl 1197.49042
Gugat, Martin
2009
On the relaxation approximation for $$2\times 2$$ hyperbolic balance laws. Zbl 1407.65105
Gugat, Martin; Herty, Michael; Yu, Hui
2018
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
Corrigendum: One-sided derivatives for the value function in convex parametric programming. Zbl 0864.90113
Gugat, M.
1996
Semi-infinite terminal problems: A Newton type method. Zbl 0916.65066
Gugat, Martin
1998
Exponential stability for the Schlögl system by Pyragas feedback. Zbl 1462.35079
Gugat, Martin; Mateos, Mariano; Tröltzsch, Fredi
2020
Convexity and starshapedness of feasible sets in stationary flow networks. Zbl 1441.90108
Gugat, Martin; Schultz, Rüdiger; Schuster, Michael
2020
Boundary feedback stabilization of the isothermal Euler equations with uncertain boundary data. Zbl 1391.76673
Gugat, Martin; Schultz, Rüdiger
2018
Time delay in optimal control loops for wave equations. Zbl 1356.49005
Gugat, Martin; Leugering, Günter
2017
On the relaxation approximation of boundary control of the isothermal Euler equations. Zbl 1253.93110
Dick, M.; Gugat, M.; Herty, M.; Steffensen, S.
2012
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
Exact controllability of a string to rest with a moving boundary. Zbl 1453.93017
Gugat, Martin
2019
Dynamic boundary control games with networks of strings. Zbl 1415.49026
Gugat, Martin; Steffensen, Sonja
2018
Joint model of probabilistic-robust (probust) constraints applied to gas network optimization. Zbl 1477.90012
Adelhütte, Dennis; Aßmann, Denis; Grandòn, Tatiana Gonzàlez; Gugat, Martin; Heitsch, Holger; Henrion, René; Liers, Frauke; Nitsche, Sabrina; Schultz, Rüdiger; Stingl, Michael; Wintergerst, David
2021
Optimal Neumann boundary control of a vibrating string with uncertain initial data and probabilistic terminal constraints. Zbl 1446.49004
Farshbaf-Shaker, M. Hassan; Gugat, Martin; Heitsch, Holger; Henrion, René
2020
Exponential stability for the Schlögl system by Pyragas feedback. Zbl 1462.35079
Gugat, Martin; Mateos, Mariano; Tröltzsch, Fredi
2020
Convexity and starshapedness of feasible sets in stationary flow networks. Zbl 1441.90108
Gugat, Martin; Schultz, Rüdiger; Schuster, Michael
2020
On the turnpike phenomenon for optimal boundary control problems with hyperbolic systems. Zbl 1418.35252
Gugat, Martin; Hante, Falk M.
2019
On the limits of stabilizability for networks of strings. Zbl 1425.93229
Gugat, Martin; Gerster, Stephan
2019
A turnpike result for convex hyperbolic optimal boundary control problems. Zbl 1458.35259
Gugat, Martin
2019
Exact controllability of a string to rest with a moving boundary. Zbl 1453.93017
Gugat, Martin
2019
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 stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms. Zbl 1421.35213
Gugat, Martin; Perrollaz, Vincent; Rosier, Lionel
2018
Networks of pipelines for gas with nonconstant compressibility factor: stationary states. Zbl 1416.76253
Gugat, Martin; Schultz, Rüdiger; 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
Transient flow in gas networks: traveling waves. Zbl 1442.35316
Gugat, Martin; Wintergerst, David
2018
Lipschitz solutions of initial boundary value problems for balance laws. Zbl 1394.35261
Gugat, Martin; Ulbrich, Stefan
2018
Stationary gas networks with compressor control and random loads: optimization with probabilistic constraints. Zbl 1427.76234
Gugat, Martin; Schuster, Michael
2018
On the relaxation approximation for $$2\times 2$$ hyperbolic balance laws. Zbl 1407.65105
Gugat, Martin; Herty, Michael; Yu, Hui
2018
Boundary feedback stabilization of the isothermal Euler equations with uncertain boundary data. Zbl 1391.76673
Gugat, Martin; Schultz, Rüdiger
2018
Dynamic boundary control games with networks of strings. Zbl 1415.49026
Gugat, Martin; Steffensen, Sonja
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
Time delay in optimal control loops for wave equations. Zbl 1356.49005
Gugat, Martin; Leugering, Günter
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 penalization of terminal constraints for optimal control problems. Zbl 1353.49005
Gugat, Martin; Zuazua, Enrique
2016
Exact boundary controllability for free traffic flow with Lipschitz continuous state. Zbl 1400.90098
Gugat, Martin
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
Exponential stabilization of the wave equation by Dirichlet integral feedback. Zbl 1339.35156
Gugat, Martin
2015
Norm-minimal Neumann boundary control of the wave equation. Zbl 1314.35205
Gugat, Martin
2015
Erratum to: “Flow control in gas networks: exact controllability to a given demand”. Zbl 1464.76183
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
A smoothed penalty iteration for state constrained optimal control problems for partial differential equations. Zbl 1290.90072
Gugat, Martin; Herty, Michael
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
$$H^2$$-stabilization of the isothermal Euler equations: a Lyapunov function approach. Zbl 1253.76112
Gugat, Martin; Leugering, Günter; Tamasoiu, Simona
2012
Well-posedness of networked hyperbolic systems of balance laws. Zbl 1356.49004
Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika
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
Conservation law constrained optimization based upon Front-Tracking. Zbl 1116.65079
Gugat, Martin; Herty, Michaël; Klar, Axel; Leugering, Gunter
2006
Optimal boundary control of a string to rest in finite time with continuous state. Zbl 1092.49020
Gugat, Martin
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 530 Authors

 57 Gugat, Martin 24 Leugering, Günter 19 Herty, Michael Matthias 13 Keimer, Alexander 11 Kunisch, Karl 10 Roubi, Ahmed 10 Schmidt, Martin 9 Coron, Jean-Michel 9 Göttlich, Simone 9 Hante, Falk M. 9 Prieur, Christophe 8 Krstić, Miroslav 8 Pflug, Lukas 8 Zuazua, Enrique 7 Li, Tatsien 5 Aamo, Ole Morten 5 Bastin, Georges 5 Grüne, Lars 5 Hayat, Amaury 5 Klar, Axel 5 Schewe, Lars 5 Shang, Peipei 4 Alvarez-Vázquez, Lino Jose 4 Bayen, Alexandre M. 4 Bermúdez, Alfredo 4 Boufi, Karima 4 Clason, Christian 4 Grimm, Volker 4 Gu, Qilong 4 Kmit, Irina 4 Kröner, Axel 4 López, Xián 4 Martinez, Aurea 4 Nicaise, Serge 4 Piccoli, Benedetto 4 Pignotti, Cristina 4 Schultz, Rüdiger 4 Schuster, Michael J. 4 Sirvent, Mathias 4 Sun, Hailin 4 Trélat, Emmanuel 4 Vázquez-Cendón, María Elena 4 Wintergerst, David 4 Xu, Huifu 3 Banda, Mapundi Kondwani 3 Chitour, Yacine 3 D’Apice, Ciro 3 Delle Monache, Maria Laura 3 El Alami, Abdessamad 3 El Haffari, Mostafa 3 Garavello, Mauro 3 García-Chan, Néstor 3 Girard, Antoine 3 Goatin, Paola 3 Heitsch, Holger 3 Maksimov, Vyacheslav Ivanovich 3 Manita, Larissa A. 3 Martin, Alexander 3 Mazanti, Guilherme 3 Mehrmann, Volker 3 Rodriguez, Charlotte 3 Rosier, Lionel 3 Saraç, Yeşim 3 Schaller, Manuel 3 Schiela, Anton 3 Schillen, Peter 3 Schleper, Veronika 3 Spinola, Michele 3 Steinbach, Marc Christian 3 Strecker, Timm 3 Tröltzsch, Fredi 3 Ulbrich, Stefan 3 Vázquez-Méndez, Miguel Ernesto 3 Wang, Ji 3 Wang, Yue 3 Wehbe, Ali 3 Wollner, Winnifried 3 Xie, Yaru 3 Xu, Gen-Qi 3 Zelikin, Mikhail Il’ich 3 Zhang, Liguo 3 Zhuang, Kaili 2 Addoune, Smail 2 Barnard, Richard C. 2 Benharrat, Mohammed 2 Benner, Peter 2 Borsche, Raul 2 Boutoulout, Ali 2 Bressan, Alberto 2 Briani, Maya 2 Burlacu, Robert 2 Cantoni, Michael 2 Chang, Ching-Ter 2 Colombo, Rinaldo M. 2 Corli, Andrea 2 Crouzeix, Jean-Pierre 2 Elosmani, Mohamed 2 Espejo, Inmaculada 2 Fardigola, Larissa V. 2 Ferland, Jacques A. ...and 430 more Authors
all top 5

### Cited in 119 Serials

 24 Automatica 22 SIAM Journal on Control and Optimization 19 Systems & Control Letters 17 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 15 Journal of Optimization Theory and Applications 15 Networks and Heterogeneous Media 12 Mathematical Control and Related Fields 11 Optimization 10 Mathematical Methods in the Applied Sciences 9 Journal of Differential Equations 8 Computational Optimization and Applications 8 Optimization and Engineering 7 Journal of Computational and Applied Mathematics 7 SIAM Journal on Scientific Computing 6 Journal of Mathematical Analysis and Applications 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Mathematical Programming. Series A. Series B 6 Vietnam Journal of Mathematics 5 International Journal of Control 5 European Journal of Operational Research 5 European Journal of Control 4 Computers & Mathematics with Applications 4 Journal of Computational Physics 4 Applied Mathematics and Optimization 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Chinese Annals of Mathematics. Series B 4 MCSS. Mathematics of Control, Signals, and Systems 4 Journal of Scientific Computing 4 Journal of Global Optimization 4 Mathematical Methods of Operations Research 4 International Journal of Applied Mathematics and Computer Science 4 Journal of Hyperbolic Differential Equations 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Mathematical Analysis 3 SIAM Journal on Optimization 3 Top 3 Mathematical Problems in Engineering 3 Optimization Methods & Software 2 Computers and Fluids 2 Journal of the Franklin Institute 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 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Computers & Operations Research 2 Asymptotic Analysis 2 Journal of Dynamics and Differential Equations 2 Journal of Computer and Systems Sciences International 2 Journal of Mathematical Sciences (New York) 2 Discrete and Continuous Dynamical Systems 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 Nonlinear Analysis. Real World Applications 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 SIAM Journal on Applied Dynamical Systems 2 Journal of Industrial and Management Optimization 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Proceedings of the Steklov Institute of Mathematics 2 Optimization Letters 2 Discrete and Continuous Dynamical Systems. Series S 1 Applicable Analysis 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 BIT 1 Canadian Mathematical Bulletin 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 Constructive Approximation 1 Numerical Methods for Partial Differential Equations 1 Asia-Pacific Journal of Operational Research 1 Mathematical and Computer Modelling 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Pattern Recognition 1 SIAM Journal on Applied Mathematics 1 Set-Valued Analysis 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 ETNA. Electronic Transactions on Numerical Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Discrete Dynamics in Nature and Society 1 Journal of Systems Science and Complexity ...and 19 more Serials
all top 5

### Cited in 33 Fields

 209 Partial differential equations (35-XX) 183 Systems theory; control (93-XX) 130 Operations research, mathematical programming (90-XX) 115 Calculus of variations and optimal control; optimization (49-XX) 65 Numerical analysis (65-XX) 54 Fluid mechanics (76-XX) 16 Mechanics of deformable solids (74-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Operator theory (47-XX) 5 Approximations and expansions (41-XX) 4 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 4 Biology and other natural sciences (92-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-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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