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## Maurer, Helmut

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 Author ID: maurer.helmut Published as: Maurer, Helmut; Maurer, H. Homepage: http://wwwmath.uni-muenster.de/num/maurer/index_en.html External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 95 Publications since 1969, including 4 Books Biographic References: 1 Publication
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#### Co-Authors

 15 single-authored 8 Augustin, Dirk 8 Büskens, Christof 7 Osmolovskiĭ, Nikolaĭ Pavlovich 6 Malanowski, Kazimierz D. 5 Ledzewicz, Urszula 5 Pesch, Hans Josef 5 Schättler, Heinz Michael 4 Mittelmann, Hans Detlef 3 Fulton, Neale L. 3 Kim, Jang-Ho Robert 3 Pickenhain, Sabine 3 Semmler, Willi 3 Silva, Cristiana J. 3 Tarnopolskaya, Tanya 3 Zowe, Jochem 2 de Pinho, Maria do Rosário 2 Göllmann, Laurenz 2 Lempio, Frank 2 Torres, Delfim Fernando Marado 2 Vossen, Georg 2 Wagner, Marcus M. 1 Astrov, Yu. A. 1 Belmonte-Beitia, Juan 1 Bode, Mathias 1 Bollweg, Wilfried 1 Bonen, Anthony 1 Brune, Christoph 1 Christiansen, Bahne 1 d’Onofrio, Alberto 1 Franek, Lucas 1 Franek, Marzena Magdalene 1 Gillessen, W. 1 Heidemann, U. 1 Hiriart-Urruty, Jean-Baptiste 1 Kappe, Frank 1 Kaya, C. Yalçin 1 Klamka, Jerzy 1 Korytowski, Adam 1 Kroll, Herbert 1 Lakshmanan, Shanmugam 1 Lippi, G. L. 1 Marriott, John M. 1 Oberle, Hans Joachim 1 Pérez-García, Víctor Manuel 1 Purwins, Hans-Georg 1 Rihan, Fathalla A. 1 Rodrigues, Filipe 1 Rojas, Clara 1 Stucky, Wolffried 1 Świerniak, Andrzej P. 1 Szymkat, Maciej 1 Zidani, Hasnaa 1 Zirn, Oliver
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#### Serials

 7 Journal of Optimization Theory and Applications 5 Control and Cybernetics 4 SIAM Journal on Control and Optimization 4 Optimal Control Applications & Methods 4 Computational Optimization and Applications 4 Discrete and Continuous Dynamical Systems. Series B 4 Mathematical Biosciences and Engineering 3 Applied Mathematics and Computation 3 Annals of Operations Research 2 Applied Mathematics and Optimization 2 Journal of Computational and Applied Mathematics 2 Optimization 2 Discrete and Continuous Dynamical Systems 2 Journal of Industrial and Management Optimization 1 Journal of Computational Physics 1 Mathematical Biosciences 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Computing 1 Mathematical Programming Study 1 Mathematical Programming 1 Theoretical Computer Science 1 Physica D 1 Angewandte Informatik 1 RAIRO. Informatique Théorique et Applications 1 European Journal of Control 1 The ANZIAM Journal 1 Mathematical Medicine and Biology 1 Pacific Journal of Optimization 1 SIAM Journal on Control 1 Advances in Design and Control 1 SIAM Journal on Imaging Sciences 1 Springer Optimization and Its Applications
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#### Fields

 76 Calculus of variations and optimal control; optimization (49-XX) 24 Operations research, mathematical programming (90-XX) 20 Systems theory; control (93-XX) 17 Biology and other natural sciences (92-XX) 14 Numerical analysis (65-XX) 6 Computer science (68-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Ordinary differential equations (34-XX) 4 Functional analysis (46-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Partial differential equations (35-XX) 3 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

75 Publications have been cited 1,004 times in 561 Documents Cited by Year
First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems. Zbl 0398.90109
Maurer, H.; Zowe, J.
1979
First and second order sufficient optimality conditions in mathematical programming and optimal control. Zbl 0448.90069
Maurer, Helmut
1981
SQP-methods for solving optimal control problems with control and state constraints: Adjoint variables, sensitivity analysis and real-time control. Zbl 0963.65070
Büskens, Christof; Maurer, Helmut
2000
On optimal delivery of combination therapy for tumors. Zbl 1176.92033
d’Onofrio, Alberto; Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz
2009
Numerical solution of singular control problems using multiple shooting techniques. Zbl 0302.65063
Maurer, H.
1976
Applications to regular and bang-bang control. Second-order necessary and sufficient optimality conditions in calculus of variations and optimal control. Zbl 1263.49002
Osmolovskii, Nikolai P.; Maurer, Helmut
2012
Theory and applications of optimal control problems with multiple time-delays. Zbl 1276.49011
Göllmann, Laurenz; Maurer, Helmut
2014
Differential stability in infinite-dimensional nonlinear programming. Zbl 0426.90072
Lempio, F.; Maurer, H.
1980
Sensitivity analysis for parametric control problems with control-state constraints. Zbl 0864.49020
Malanowski, Kazimierz; Maurer, Helmut
1996
Second order sufficient conditions for time-optimal bang-bang control. Zbl 1068.49015
Maurer, Helmut; Osmolovskii, Nikolai P.
2004
On optimal control problems with bounded state variables and control appearing linearly. Zbl 0358.49008
Maurer, H.
1977
Second-order sufficient conditions for control problems with mixed control-state constraints. Zbl 0874.49020
Maurer, H.; Pickenhain, S.
1995
Convergence of approximations to nonlinear optimal control problems. Zbl 0883.49025
Malanowski, Kazimierz; Büskens, Christof; Maurer, Helmut
1997
Second order sufficient conditions for optimal control problems with free final time: The Riccati approach. Zbl 1012.49018
Maurer, Helmut; Oberle, Hans Joachim
2002
Equivalence of second order optimality conditions for bang-bang control problems. I: Main results. Zbl 1167.49314
Osmolovskii, N. P.; Maurer, H.
2005
Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy. Zbl 1259.92048
Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz
2011
Sensitivity analysis for state constrained optimal control problems. Zbl 0952.49022
Malanowski, Kazimierz; Maurer, Helmut
1998
Optimization techniques for solving elliptic control problems with control and state constraints. I: Boundary control. Zbl 0961.93026
Maurer, Helmut; Mittelmann, Hans D.
2000
Differential stability in optimal control problems. Zbl 0428.49029
Maurer, H.
1979
Optimal control of a tuberculosis model with state and control delays. Zbl 1351.49052
Silva, Cristiana J.; Maurer, Helmut; Torres, Delfim F. M.
2017
Second-order sufficient conditions for state-constrained optimal control problems. Zbl 1059.49027
Malanowski, K.; Maurer, H.; Pickenhain, S.
2004
Solution differentiability for nonlinear parametric control problems. Zbl 0820.49012
Maurer, Helmut; Pesch, Hans Josef
1994
Equivalence of second order optimality conditions for bang-bang control problems. II: Proofs, variational derivatives and representations. Zbl 1293.49043
Osmolovskii, N. P.; Maurer, H.
2007
A numerical method for nonconvex multi-objective optimal control problems. Zbl 1301.49082
Kaya, C. Yalçın; Maurer, Helmut
2014
Second-order optimality conditions for bang-bang control problems. Zbl 1127.49019
Maurer, H.; Osmolovskii, N. P.
2003
Optimization techniques for solving elliptic control problems with control and state constraints. II: Distributed control. Zbl 0977.93037
Maurer, Helmut; Mittelmann, Hans D.
2001
Sensitivity analysis and real-time optimization of parametric nonlinear programming problems. Zbl 0989.90122
Büskens, Christof; Maurer, Helmut
2001
Solution differentiability for parametric nonlinear control problems with control-state constraints. Zbl 0835.49017
Maurer, H.; Pesch, H. J.
1995
Realizable protocols for optimal administration of drugs in mathematical models for anti-angiogenic treatment. Zbl 1190.92015
Ledzewicz, Urszula; Marriott, John; Maurer, Helmut; Schättler, Heinz
2010
Theoretische Grundlagen der Programmiersprachen. Theorie der Syntax. Zbl 0204.31801
Maurer, H.
1969
Sensitivity analysis for optimal control problems subject to higher order state constraints. Zbl 1005.49021
Malanowski, Kazimierz; Maurer, Helmut
2001
Sufficient conditions for strong local optimality in optimal control problems with $$L_{2}$$-type objectives and control constraints. Zbl 1304.49043
Schättler, Heinz; Ledzewicz, Urszula; Maurer, Helmut
2014
Application of multiple shooting to the numerical solution of optimal control problems with bounded state variables. Zbl 0318.49024
Maurer, H.; Gillessen, W.
1975
Sensitivity analysis and real-time control of parametric optimal control problems using nonlinear programming methods. Zbl 0992.49021
Büskens, Christof; Maurer, Helmut
2001
Solving elliptic control problems with interior point and SQP methods: Control and state constraints. Zbl 0959.65081
Mittelmann, Hans D.; Maurer, Helmut
2000
Detection of intensity and motion edges within optical flow via multidimensional control. Zbl 1181.49029
Brune, Christoph; Maurer, Helmut; Wagner, Marcus
2009
On a state-constrained control problem in optimal production and maintenance. Zbl 1151.49009
Maurer, Helmut; Kim, Jang-Ho Robert; Vossen, Georg
2005
Sensitivity analysis and real-time control of parametric optimal control problems using boundary value methods. Zbl 0997.49024
Maurer, Helmut; Augustin, Dirk
2001
Direct optimization methods for solving a complex state-constrained optimal control problem in microeconomics. Zbl 1151.91612
Maurer, Helmut; Pesch, Hans Josef
2008
The non-linear beam via optimal control with bounded state variables. Zbl 0754.49002
Maurer, H.; Mittelmann, H. D.
1991
Second order sufficient conditions and sensitivity analysis for the optimal control of a container crane under state constraints. Zbl 1005.49023
Augustin, Dirk; Maurer, Helmut
2001
Second order sufficient conditions and sensitivity analysis for optimal multiprocess control problems. Zbl 1006.49018
Augustin, D.; Maurer, H.
2000
Local controllability and optimal control for a model of combined anticancer therapy with control delays. Zbl 1351.93018
Klamka, Jerzy; Maurer, Helmut; Swierniak, Andrzej
2017
Computational sensitivity analysis for state constrained optimal control problems. Zbl 1005.49022
Augustin, Dirk; Maurer, Helmut
2001
Optimale Steuerprozesse mit Zustandsbeschränkungen. Zbl 0315.49009
Maurer, H.; Heidemann, U.
1975
Optimal control of a delayed HIV model. Zbl 1374.34177
Rodrigues, Filipe; Silva, Cristiana J.; Torres, Delfim F. M.; Maurer, Helmut
2018
Optimal control of tumour-immune model with time-delay and immuno-chemotherapy. Zbl 1428.92052
Rihan, F. A.; Lakshmanan, S.; Maurer, H.
2019
Sensitivity analysis and real-time control of a container crane under state constraints. Zbl 1007.49012
Augustin, Dirk; Maurer, Helmut
2001
High-speed switch-on of a semiconductor gas discharge image converter using optimal control methods. Zbl 1053.82521
Kim, J.-H. R.; Maurer, H.; Astrov, Yu. A.; Bode, M.; Purwins, H.-G.
2001
Solution differentiability for parametric nonlinear control problems with control-state constraints. Zbl 0809.93024
Maurer, Helmut; Pesch, Hans-Josef
1994
An example of a continuous junction for a singular control problem of even order. Zbl 0276.49017
Maurer, Helmut
1975
Second order sufficient optimality conditions for a control problem with continuous and bang-bang control components: Riccati approach. Zbl 1189.49037
Osmolovskii, Nikolai P.; Maurer, Helmut
2009
Optimal control of epidemiological SEIR models with $$L^1$$-objectives and control-state constraints. Zbl 1341.49049
Maurer, Helmut; de Pinho, Maria do Rosario
2016
A discretization method for the numerical solution of Dieudonné-Rashevsky type problems with application to edge detection within noisy image data. Zbl 1301.49073
Franek, Lucas; Franek, Marzena; Maurer, Helmut; Wagner, Marcus
2012
Optimal control problems with time delays: two case studies in biomedicine. Zbl 1406.92300
Göllmann, Laurenz; Maurer, Helmut
2018
Optimal combined radio- and anti-angiogenic cancer therapy. Zbl 1409.49036
Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz
2019
First and second-order sufficient optimality conditions in mathematical programming and optimal control. Zbl 0451.49012
Maurer, Helmut
1979
Nonlinear programming methods for real-time control of an industrial robot. Zbl 1168.93378
Büskens, C.; Maurer, H.
2000
Second order optimality conditions for controls with continuous and bang-bang components. Zbl 1214.49021
Osmolovskii, N. P.; Maurer, H.
2006
Synthesis of optimal bang-bang control for cooperative collision avoidance for aircraft (ships) with unequal linear speeds. Zbl 1260.49030
Tarnopolskaya, T.; Fulton, N.; Maurer, H.
2012
Dynamics and optimal control of chemotherapy for low grade gliomas: insights from a mathematical model. Zbl 1351.49051
Rojas, Clara; Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Maurer, Helmut
2016
Singular controls in optimal collision avoidance for participants with unequal linear speeds. Zbl 1386.49026
Maurer, Helmut; Tarnopolskaya, Tanya; Fulton, Neale
2011
Numerical solution of a drug displacement problem with bounded state variables. Zbl 0754.92010
Maurer, H.; Wiegand, M.
1992
Sensitivity analysis and real-time control of nonlinear optimal control systems via nonlinear programming methods. Zbl 0932.49024
Büskens, Christof; Maurer, Helmut
1998
Sufficient conditions and sensitivity analysis for economic control problems. Zbl 0930.49011
Maurer, Helmut
1999
Real-time control of robots with initial value perturbations via nonlinear programming methods. Zbl 0953.93533
Büskens, Christof; Maurer, Helmut
2000
Second order sufficient conditions and sensitivity analysis for the controlled Rayleigh problem. Zbl 0885.49021
Maurer, Helmut; Augustin, Dirk
1997
Advances in mathematical modeling, optimization and optimal control. Selected papers based on the presentations at the 16th French-German-Polish conference on optimization, Cracow, Poland, 2013. Zbl 1346.90007
Hiriart-Urruty, Jean-Baptiste (ed.); Korytowski, Adam (ed.); Maurer, Helmut (ed.); Szymkat, Maciej (ed.)
2016
Optimal control of servo actuators with flexible load and Coulombic friction. Zbl 1248.49049
Christiansen, Bahne; Maurer, Helmut; Zirn, Oliver
2011
An optimal control model of oil discovery and extraction. Zbl 1198.91098
Maurer, Helmut; Semmler, Willi
2010
Sufficient conditions and sensitivity analysis for optimal bang-bang control problems with state constraints. Zbl 1189.49036
Maurer, Helmut; Vossen, Georg
2009
On optimal control problems with bounded state variables and control appearing linearly. Zbl 0344.49008
Maurer, H.
1976
Second-order necessary and sufficient optimality conditions for infinite- dimensional programming problems. Zbl 0373.90072
Maurer, H.; Zowe, J.
1978
Differentiable perturbations of infinite optimization problems. Zbl 0404.90089
Lempio, F.; Maurer, H.
1978
Optimal control of normalized SIMR models with vaccination and treatment. Zbl 1374.49030
de Pinho, Maria do Rosário; Maurer, Helmut; Zidani, Hasnaa
2018
Optimal control of tumour-immune model with time-delay and immuno-chemotherapy. Zbl 1428.92052
Rihan, F. A.; Lakshmanan, S.; Maurer, H.
2019
Optimal combined radio- and anti-angiogenic cancer therapy. Zbl 1409.49036
Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz
2019
Optimal control of a delayed HIV model. Zbl 1374.34177
Rodrigues, Filipe; Silva, Cristiana J.; Torres, Delfim F. M.; Maurer, Helmut
2018
Optimal control problems with time delays: two case studies in biomedicine. Zbl 1406.92300
Göllmann, Laurenz; Maurer, Helmut
2018
Optimal control of normalized SIMR models with vaccination and treatment. Zbl 1374.49030
de Pinho, Maria do Rosário; Maurer, Helmut; Zidani, Hasnaa
2018
Optimal control of a tuberculosis model with state and control delays. Zbl 1351.49052
Silva, Cristiana J.; Maurer, Helmut; Torres, Delfim F. M.
2017
Local controllability and optimal control for a model of combined anticancer therapy with control delays. Zbl 1351.93018
Klamka, Jerzy; Maurer, Helmut; Swierniak, Andrzej
2017
Optimal control of epidemiological SEIR models with $$L^1$$-objectives and control-state constraints. Zbl 1341.49049
Maurer, Helmut; de Pinho, Maria do Rosario
2016
Dynamics and optimal control of chemotherapy for low grade gliomas: insights from a mathematical model. Zbl 1351.49051
Rojas, Clara; Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Maurer, Helmut
2016
Advances in mathematical modeling, optimization and optimal control. Selected papers based on the presentations at the 16th French-German-Polish conference on optimization, Cracow, Poland, 2013. Zbl 1346.90007
Hiriart-Urruty, Jean-Baptiste; Korytowski, Adam; Maurer, Helmut; Szymkat, Maciej
2016
Theory and applications of optimal control problems with multiple time-delays. Zbl 1276.49011
Göllmann, Laurenz; Maurer, Helmut
2014
A numerical method for nonconvex multi-objective optimal control problems. Zbl 1301.49082
Kaya, C. Yalçın; Maurer, Helmut
2014
Sufficient conditions for strong local optimality in optimal control problems with $$L_{2}$$-type objectives and control constraints. Zbl 1304.49043
Schättler, Heinz; Ledzewicz, Urszula; Maurer, Helmut
2014
Applications to regular and bang-bang control. Second-order necessary and sufficient optimality conditions in calculus of variations and optimal control. Zbl 1263.49002
Osmolovskii, Nikolai P.; Maurer, Helmut
2012
A discretization method for the numerical solution of Dieudonné-Rashevsky type problems with application to edge detection within noisy image data. Zbl 1301.49073
Franek, Lucas; Franek, Marzena; Maurer, Helmut; Wagner, Marcus
2012
Synthesis of optimal bang-bang control for cooperative collision avoidance for aircraft (ships) with unequal linear speeds. Zbl 1260.49030
Tarnopolskaya, T.; Fulton, N.; Maurer, H.
2012
Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy. Zbl 1259.92048
Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz
2011
Singular controls in optimal collision avoidance for participants with unequal linear speeds. Zbl 1386.49026
Maurer, Helmut; Tarnopolskaya, Tanya; Fulton, Neale
2011
Optimal control of servo actuators with flexible load and Coulombic friction. Zbl 1248.49049
Christiansen, Bahne; Maurer, Helmut; Zirn, Oliver
2011
Realizable protocols for optimal administration of drugs in mathematical models for anti-angiogenic treatment. Zbl 1190.92015
Ledzewicz, Urszula; Marriott, John; Maurer, Helmut; Schättler, Heinz
2010
An optimal control model of oil discovery and extraction. Zbl 1198.91098
Maurer, Helmut; Semmler, Willi
2010
On optimal delivery of combination therapy for tumors. Zbl 1176.92033
d&rsquo;Onofrio, Alberto; Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz
2009
Detection of intensity and motion edges within optical flow via multidimensional control. Zbl 1181.49029
Brune, Christoph; Maurer, Helmut; Wagner, Marcus
2009
Second order sufficient optimality conditions for a control problem with continuous and bang-bang control components: Riccati approach. Zbl 1189.49037
Osmolovskii, Nikolai P.; Maurer, Helmut
2009
Sufficient conditions and sensitivity analysis for optimal bang-bang control problems with state constraints. Zbl 1189.49036
Maurer, Helmut; Vossen, Georg
2009
Direct optimization methods for solving a complex state-constrained optimal control problem in microeconomics. Zbl 1151.91612
Maurer, Helmut; Pesch, Hans Josef
2008
Equivalence of second order optimality conditions for bang-bang control problems. II: Proofs, variational derivatives and representations. Zbl 1293.49043
Osmolovskii, N. P.; Maurer, H.
2007
Second order optimality conditions for controls with continuous and bang-bang components. Zbl 1214.49021
Osmolovskii, N. P.; Maurer, H.
2006
Equivalence of second order optimality conditions for bang-bang control problems. I: Main results. Zbl 1167.49314
Osmolovskii, N. P.; Maurer, H.
2005
On a state-constrained control problem in optimal production and maintenance. Zbl 1151.49009
Maurer, Helmut; Kim, Jang-Ho Robert; Vossen, Georg
2005
Second order sufficient conditions for time-optimal bang-bang control. Zbl 1068.49015
Maurer, Helmut; Osmolovskii, Nikolai P.
2004
Second-order sufficient conditions for state-constrained optimal control problems. Zbl 1059.49027
Malanowski, K.; Maurer, H.; Pickenhain, S.
2004
Second-order optimality conditions for bang-bang control problems. Zbl 1127.49019
Maurer, H.; Osmolovskii, N. P.
2003
Second order sufficient conditions for optimal control problems with free final time: The Riccati approach. Zbl 1012.49018
Maurer, Helmut; Oberle, Hans Joachim
2002
Optimization techniques for solving elliptic control problems with control and state constraints. II: Distributed control. Zbl 0977.93037
Maurer, Helmut; Mittelmann, Hans D.
2001
Sensitivity analysis and real-time optimization of parametric nonlinear programming problems. Zbl 0989.90122
Büskens, Christof; Maurer, Helmut
2001
Sensitivity analysis for optimal control problems subject to higher order state constraints. Zbl 1005.49021
Malanowski, Kazimierz; Maurer, Helmut
2001
Sensitivity analysis and real-time control of parametric optimal control problems using nonlinear programming methods. Zbl 0992.49021
Büskens, Christof; Maurer, Helmut
2001
Sensitivity analysis and real-time control of parametric optimal control problems using boundary value methods. Zbl 0997.49024
Maurer, Helmut; Augustin, Dirk
2001
Second order sufficient conditions and sensitivity analysis for the optimal control of a container crane under state constraints. Zbl 1005.49023
Augustin, Dirk; Maurer, Helmut
2001
Computational sensitivity analysis for state constrained optimal control problems. Zbl 1005.49022
Augustin, Dirk; Maurer, Helmut
2001
Sensitivity analysis and real-time control of a container crane under state constraints. Zbl 1007.49012
Augustin, Dirk; Maurer, Helmut
2001
High-speed switch-on of a semiconductor gas discharge image converter using optimal control methods. Zbl 1053.82521
Kim, J.-H. R.; Maurer, H.; Astrov, Yu. A.; Bode, M.; Purwins, H.-G.
2001
SQP-methods for solving optimal control problems with control and state constraints: Adjoint variables, sensitivity analysis and real-time control. Zbl 0963.65070
Büskens, Christof; Maurer, Helmut
2000
Optimization techniques for solving elliptic control problems with control and state constraints. I: Boundary control. Zbl 0961.93026
Maurer, Helmut; Mittelmann, Hans D.
2000
Solving elliptic control problems with interior point and SQP methods: Control and state constraints. Zbl 0959.65081
Mittelmann, Hans D.; Maurer, Helmut
2000
Second order sufficient conditions and sensitivity analysis for optimal multiprocess control problems. Zbl 1006.49018
Augustin, D.; Maurer, H.
2000
Nonlinear programming methods for real-time control of an industrial robot. Zbl 1168.93378
Büskens, C.; Maurer, H.
2000
Real-time control of robots with initial value perturbations via nonlinear programming methods. Zbl 0953.93533
Büskens, Christof; Maurer, Helmut
2000
Sufficient conditions and sensitivity analysis for economic control problems. Zbl 0930.49011
Maurer, Helmut
1999
Sensitivity analysis for state constrained optimal control problems. Zbl 0952.49022
Malanowski, Kazimierz; Maurer, Helmut
1998
Sensitivity analysis and real-time control of nonlinear optimal control systems via nonlinear programming methods. Zbl 0932.49024
Büskens, Christof; Maurer, Helmut
1998
Convergence of approximations to nonlinear optimal control problems. Zbl 0883.49025
Malanowski, Kazimierz; Büskens, Christof; Maurer, Helmut
1997
Second order sufficient conditions and sensitivity analysis for the controlled Rayleigh problem. Zbl 0885.49021
Maurer, Helmut; Augustin, Dirk
1997
Sensitivity analysis for parametric control problems with control-state constraints. Zbl 0864.49020
Malanowski, Kazimierz; Maurer, Helmut
1996
Second-order sufficient conditions for control problems with mixed control-state constraints. Zbl 0874.49020
Maurer, H.; Pickenhain, S.
1995
Solution differentiability for parametric nonlinear control problems with control-state constraints. Zbl 0835.49017
Maurer, H.; Pesch, H. J.
1995
Solution differentiability for nonlinear parametric control problems. Zbl 0820.49012
Maurer, Helmut; Pesch, Hans Josef
1994
Solution differentiability for parametric nonlinear control problems with control-state constraints. Zbl 0809.93024
Maurer, Helmut; Pesch, Hans-Josef
1994
Numerical solution of a drug displacement problem with bounded state variables. Zbl 0754.92010
Maurer, H.; Wiegand, M.
1992
The non-linear beam via optimal control with bounded state variables. Zbl 0754.49002
Maurer, H.; Mittelmann, H. D.
1991
First and second order sufficient optimality conditions in mathematical programming and optimal control. Zbl 0448.90069
Maurer, Helmut
1981
Differential stability in infinite-dimensional nonlinear programming. Zbl 0426.90072
Lempio, F.; Maurer, H.
1980
First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems. Zbl 0398.90109
Maurer, H.; Zowe, J.
1979
Differential stability in optimal control problems. Zbl 0428.49029
Maurer, H.
1979
First and second-order sufficient optimality conditions in mathematical programming and optimal control. Zbl 0451.49012
Maurer, Helmut
1979
Second-order necessary and sufficient optimality conditions for infinite- dimensional programming problems. Zbl 0373.90072
Maurer, H.; Zowe, J.
1978
Differentiable perturbations of infinite optimization problems. Zbl 0404.90089
Lempio, F.; Maurer, H.
1978
On optimal control problems with bounded state variables and control appearing linearly. Zbl 0358.49008
Maurer, H.
1977
Numerical solution of singular control problems using multiple shooting techniques. Zbl 0302.65063
Maurer, H.
1976
On optimal control problems with bounded state variables and control appearing linearly. Zbl 0344.49008
Maurer, H.
1976
Application of multiple shooting to the numerical solution of optimal control problems with bounded state variables. Zbl 0318.49024
Maurer, H.; Gillessen, W.
1975
Optimale Steuerprozesse mit Zustandsbeschränkungen. Zbl 0315.49009
Maurer, H.; Heidemann, U.
1975
An example of a continuous junction for a singular control problem of even order. Zbl 0276.49017
Maurer, Helmut
1975
Theoretische Grundlagen der Programmiersprachen. Theorie der Syntax. Zbl 0204.31801
Maurer, H.
1969
all top 5

#### Cited by 717 Authors

 31 Maurer, Helmut 18 Ledzewicz, Urszula 18 Schättler, Heinz Michael 15 Kunisch, Karl 15 Teo, Kok Lay 14 Alt, Walter 14 Tröltzsch, Fredi 13 Casas, Eduardo 13 Kaya, C. Yalçin 13 Malanowski, Kazimierz D. 12 Torres, Delfim Fernando Marado 11 Bonnans, Joseph Frédéric 10 Loxton, Ryan Christopher 10 Osmolovskiĭ, Nikolaĭ Pavlovich 10 Trélat, Emmanuel 9 Gerdts, Matthias 9 Silva, Cristiana J. 8 de Pinho, Maria do Rosário 8 Yu, Changjun 7 Felgenhauer, Ursula 7 Herzog, Roland 7 White, Luther W. 6 Bonnard, Bernard 6 Lin, Qun 6 Rehbock, Volker 6 Ruggiero, Valeria 6 Veliov, Vladimir M. 6 Volkwein, Stefan 6 Wachsmuth, Gerd 6 Wagner, Marcus M. 5 Aronna, María Soledad 5 Azhmyakov, Vadim 5 Büskens, Christof 5 Caillau, Jean-Baptiste 5 Cots, Olivier 5 d’Onofrio, Alberto 5 Frankowska, Hélène 5 Hermant, Audrey 5 Ito, Kazufumi 5 Oberle, Hans Joachim 5 Penot, Jean-Paul 5 Shamsi, Mostafa 5 Zhang, Xu 4 Bai, Yanqin 4 Bonettini, Silvia 4 Borzì, Alfio 4 Bratus, Alexander S. 4 Campbell, Stephen LaVern 4 Foryś, Urszula 4 Fraser-Andrews, G. 4 Hager, William W. 4 Karamzin, Dmitry Yu. 4 Kostyukova, Olga Ivanova 4 Lykina, Valeriya 4 Martens, Björn 4 Martinon, Pierre 4 Marzban, Hamid-Reza 4 Pesch, Hans Josef 4 Pickenhain, Sabine 4 Piotrowska, Monika Joanna 4 Rösch, Arnd 4 Scarinci, Teresa 4 Schneider, Christopher 4 Seydenschwanz, Martin 4 Vinter, Richard B. 4 Zhang, Haisen 3 Açıkmeşe, Behçet 3 Biegler, Lorenz T. 3 Boccia, Andrea 3 Colonius, Fritz 3 De los Reyes, Juan Carlos 3 Dontchev, Asen L. 3 Foroozandeh, Zahra 3 Gergaud, Joseph 3 Henrot, Antoine 3 Kien, Bui Trong 3 Liu, Chongyang 3 Mateos, Mariano 3 Noailles, Joseph 3 Poggiolini, Laura 3 Riedinger, Pierre 3 Sager, Sebastian 3 Schittkowski, Klaus 3 Semmler, Willi 3 Sweilam, Nasser Hassan 3 Vossen, Georg 3 Wachsmuth, Daniel 3 Walther, Andrea 3 Zidani, Hasnaa 3 Zuyev, Sergei 2 Al-Mekhlafi, Seham Mahyoub 2 Arutyunov, Aram Vladimirovic 2 Banihashemi, Nahid 2 Basir, Fahad Al 2 Becerril, Jorge A. 2 Bell, David J. 2 Belmonte-Beitia, Juan 2 Ben-Tal, Aharon 2 Betts, John T. 2 Blackmore, Lars ...and 617 more Authors
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#### Cited in 138 Serials

 74 Journal of Optimization Theory and Applications 25 SIAM Journal on Control and Optimization 21 Computational Optimization and Applications 19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 17 Applied Mathematics and Optimization 17 Optimization 15 Applied Mathematics and Computation 15 Automatica 15 Optimal Control Applications & Methods 14 Journal of Mathematical Analysis and Applications 13 Optimization Methods & Software 11 Numerical Functional Analysis and Optimization 10 Journal of Computational and Applied Mathematics 10 Journal of Industrial and Management Optimization 9 International Journal of Control 9 Mathematical Programming. Series A. Series B 9 Discrete and Continuous Dynamical Systems. Series B 8 Mathematical Biosciences and Engineering 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Systems & Control Letters 7 Discrete and Continuous Dynamical Systems 7 Discrete and Continuous Dynamical Systems. Series S 6 Mathematical Biosciences 6 Journal of Global Optimization 5 Journal of the Franklin Institute 5 SIAM Journal on Optimization 5 Set-Valued and Variational Analysis 4 Journal of Mathematical Biology 4 Journal of Differential Equations 4 Applied Numerical Mathematics 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Applied Mathematical Modelling 4 Journal of Mathematical Sciences (New York) 4 Mathematical Modelling of Natural Phenomena 4 Journal of Theoretical Biology 3 Mathematics and Computers in Simulation 3 Numerische Mathematik 3 Complexity 3 Communications in Nonlinear Science and Numerical Simulation 3 Optimization and Engineering 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Journal of Biological Dynamics 3 International Journal of Biomathematics 3 Numerical Algebra, Control and Optimization 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 International Journal of Systems Science 2 Archiv der Mathematik 2 Journal of Approximation Theory 2 Mathematical Programming 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of Scientific Computing 2 European Journal of Operational Research 2 International Journal of Computer Mathematics 2 SIAM Review 2 Computational and Applied Mathematics 2 Opuscula Mathematica 2 Mathematical Problems in Engineering 2 European Journal of Control 2 Multibody System Dynamics 2 Journal of Dynamical and Control Systems 2 Differential Equations 2 Nonlinear Analysis. Real World Applications 2 Journal of Numerical Mathematics 2 Optimization Letters 2 Mathematical Programming Computation 2 S$$\vec{\text{e}}$$MA Journal 2 Journal of the Operations Research Society of China 2 Nonlinear Analysis. Theory, Methods & Applications 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Inverse Problems 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Prikladnaya Matematika i Mekhanika 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Computing 1 Journal of Economic Theory 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Mathematika 1 Operations Research 1 Opsearch 1 SIAM Journal on Numerical Analysis 1 Operations Research Letters 1 Combinatorica 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Computational Mathematics and Modeling 1 Annals of Operations Research 1 Applications of Mathematics 1 Discrete Event Dynamic Systems ...and 38 more Serials
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#### Cited in 36 Fields

 442 Calculus of variations and optimal control; optimization (49-XX) 138 Operations research, mathematical programming (90-XX) 126 Systems theory; control (93-XX) 103 Numerical analysis (65-XX) 93 Biology and other natural sciences (92-XX) 60 Ordinary differential equations (34-XX) 52 Partial differential equations (35-XX) 20 Mechanics of particles and systems (70-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Fluid mechanics (76-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Mechanics of deformable solids (74-XX) 8 Real functions (26-XX) 8 Convex and discrete geometry (52-XX) 8 Probability theory and stochastic processes (60-XX) 7 Functional analysis (46-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Computer science (68-XX) 7 Information and communication theory, circuits (94-XX) 5 Operator theory (47-XX) 4 Quantum theory (81-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 2 Measure and integration (28-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Optics, electromagnetic theory (78-XX)

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