# zbMATH — the first resource for mathematics

## Zidani, Housnaa

Compute Distance To:
 Author ID: zidani.housnaa Published as: Zidani, H.; Zidani, Housnaa
 Documents Indexed: 22 Publications since 1996
all top 5

#### Co-Authors

 0 single-authored 8 Bonnans, Joseph Frédéric 7 Raymond, Jean-Pierre 2 Bergounioux, Maïtine 2 Casas, Eduardo 2 Maroso, Stefania 1 Chartier, Philippe 1 Ellaia, Rachid 1 Graber, Philip Jameson 1 Granato, G. 1 Guilbaud, Thérèse 1 Ketfi-Cherif, Ahmed 1 Ottenwaelter, Élisabeth 1 Sagastizábal, Claudia A. 1 Siconolfi, Antonio 1 Souza de Cursi, José Eduardo 1 von Wissel, Dirk
all top 5

#### Serials

 5 SIAM Journal on Control and Optimization 3 Journal of Differential Equations 2 Applied Mathematics and Optimization 2 SIAM Journal on Numerical Analysis 1 IMA Journal of Numerical Analysis 1 Control and Cybernetics 1 Journal of Optimization Theory and Applications 1 Differential and Integral Equations 1 Journal of Global Optimization 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Optimization and Engineering
all top 5

#### Fields

 19 Calculus of variations and optimal control; optimization (49-XX) 10 Systems theory; control (93-XX) 9 Partial differential equations (35-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

19 Publications have been cited 303 times in 218 Documents Cited by Year
Hamiltonian Pontryagin’s principles for control problems governed by semilinear parabolic equations. Zbl 0922.49013
Raymond, J. P.; Zidani, H.
1999
Pontryagin’s principle for state-constrained control problems governed by parabolic equations with unbounded controls. Zbl 0919.49015
Raymond, J. P.; Zidani, H.
1998
Optimal control problems with partially polyhedric constraints. Zbl 0945.49020
Bonnans, J. Frédéric; Zidani, Housnaa
1999
Pontryagin’s principle for local solutions of control problems with mixed control-state constraints. Zbl 0984.49011
Casas, E.; Raymond, J.-P.; Zidani, H.
2000
A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433
Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa
2004
Consistency of generalized finite difference schemes for the stochastic HJB equation. Zbl 1130.49307
Bonnans, J. Frédéric; Zidani, Housnaa
2003
Pontryagin’s principle for time-optimal problems. Zbl 0952.49020
Raymond, J.-P.; Zidani, H.
1999
Infinite horizon problems on stratifiable state-constraints sets. Zbl 1319.49041
Hermosilla, C.; Zidani, H.
2015
Pontryagin maximum principle for optimal control of variational inequalities. Zbl 0938.49021
Bergounioux, Maïtine; Zidani, Housnaa
1999
Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations. Zbl 1298.49043
Rao, Z.; Siconolfi, A.; Zidani, H.
2014
Time optimal problems with boundary controls. Zbl 0983.49016
Raymond, J. P.; Zidani, H.
2000
Error estimates for stochastic differential games: the adverse stopping case. Zbl 1130.91014
Bonnans, J. Frédéric; Maroso, Stefania; Zidani, Housnaa
2006
Error estimates for a stochastic impulse control problem. Zbl 1127.93057
Bonnans, Frederic; Maroso, Stefania; Zidani, Housnaa
2007
Optimal control problem governed by semilinear elliptic equations with integral control constraints and pointwise state constraints. Zbl 0906.49010
Casas, E.; Raymond, J.-P.; Zidani, H.
1998
Parametric optimization of hybrid car engines. Zbl 1072.90573
Bonnans, Joseph Frédéric; Guilbaud, Thérèse; Ketfi-Cherif, Ahmed; von Wissel, Dirk; Sagastizábal, Claudia; Zidani, Housnaa
2004
Level-set approach for reachability analysis of hybrid systems under lag constraints. Zbl 1294.49004
Granato, G.; Zidani, H.
2014
Optimal control problem governed by a semilinear parabolic equation. Zbl 0907.49011
Raymond, Jean-Pierre; Zidani, Housnaa
1996
A fully discrete approximation for control problems governed by parabolic variational inequalities. Zbl 1047.49027
Bergounioux, Maïtine; Zidani, Housnaa
2002
Discontinuous solutions of Hamilton-Jacobi equations on networks. Zbl 1375.35086
Graber, P. J.; Hermosilla, C.; Zidani, H.
2017
Discontinuous solutions of Hamilton-Jacobi equations on networks. Zbl 1375.35086
Graber, P. J.; Hermosilla, C.; Zidani, H.
2017
Infinite horizon problems on stratifiable state-constraints sets. Zbl 1319.49041
Hermosilla, C.; Zidani, H.
2015
Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations. Zbl 1298.49043
Rao, Z.; Siconolfi, A.; Zidani, H.
2014
Level-set approach for reachability analysis of hybrid systems under lag constraints. Zbl 1294.49004
Granato, G.; Zidani, H.
2014
Error estimates for a stochastic impulse control problem. Zbl 1127.93057
Bonnans, Frederic; Maroso, Stefania; Zidani, Housnaa
2007
Error estimates for stochastic differential games: the adverse stopping case. Zbl 1130.91014
Bonnans, J. Frédéric; Maroso, Stefania; Zidani, Housnaa
2006
A fast algorithm for the two dimensional HJB equation of stochastic control. Zbl 1130.93433
Bonnans, J. Frédéric; Ottenwaelter, Élisabeth; Zidani, Housnaa
2004
Parametric optimization of hybrid car engines. Zbl 1072.90573
Bonnans, Joseph Frédéric; Guilbaud, Thérèse; Ketfi-Cherif, Ahmed; von Wissel, Dirk; Sagastizábal, Claudia; Zidani, Housnaa
2004
Consistency of generalized finite difference schemes for the stochastic HJB equation. Zbl 1130.49307
Bonnans, J. Frédéric; Zidani, Housnaa
2003
A fully discrete approximation for control problems governed by parabolic variational inequalities. Zbl 1047.49027
Bergounioux, Maïtine; Zidani, Housnaa
2002
Pontryagin’s principle for local solutions of control problems with mixed control-state constraints. Zbl 0984.49011
Casas, E.; Raymond, J.-P.; Zidani, H.
2000
Time optimal problems with boundary controls. Zbl 0983.49016
Raymond, J. P.; Zidani, H.
2000
Hamiltonian Pontryagin’s principles for control problems governed by semilinear parabolic equations. Zbl 0922.49013
Raymond, J. P.; Zidani, H.
1999
Optimal control problems with partially polyhedric constraints. Zbl 0945.49020
Bonnans, J. Frédéric; Zidani, Housnaa
1999
Pontryagin’s principle for time-optimal problems. Zbl 0952.49020
Raymond, J.-P.; Zidani, H.
1999
Pontryagin maximum principle for optimal control of variational inequalities. Zbl 0938.49021
Bergounioux, Maïtine; Zidani, Housnaa
1999
Pontryagin’s principle for state-constrained control problems governed by parabolic equations with unbounded controls. Zbl 0919.49015
Raymond, J. P.; Zidani, H.
1998
Optimal control problem governed by semilinear elliptic equations with integral control constraints and pointwise state constraints. Zbl 0906.49010
Casas, E.; Raymond, J.-P.; Zidani, H.
1998
Optimal control problem governed by a semilinear parabolic equation. Zbl 0907.49011
Raymond, Jean-Pierre; Zidani, Housnaa
1996
all top 5

#### Cited by 254 Authors

 17 Tröltzsch, Fredi 16 Casas, Eduardo 7 Guan, Hongbo 7 Jakobsen, Espen Robstad 6 Borzì, Alfio 6 Kunisch, Karl 6 Mirebeau, Jean-Marie 6 Reisinger, Christoph 6 Rösch, Arnd 6 Shi, Dongyang 6 Wachsmuth, Daniel 5 Picarelli, Athena 5 Raymond, Jean-Pierre 5 Sumin, Mikhail Iosifovich 5 Vexler, Boris 5 Zidani, Hasnaa 4 Bokanowski, Olivier 4 Breitenbach, Tim 4 Kien, Bui Trong 4 Nhu, Vu Huu 4 Pieper, Konstantin 4 Tan, Xiaolu 4 Volkwein, Stefan 4 Zheng, Jiashan 3 Bergounioux, Maïtine 3 Bonifacius, Lucas 3 Bonnans, Joseph Frédéric 3 Camacho, Carmen 3 Chrysafinos, Konstantinos 3 Herzog, Roland 3 Nakano, Yumiharu 3 Neitzel, Ira 3 Wachsmuth, Gerd 3 Wang, Lijuan 3 Warin, Xavier 2 Alvarez-Vázquez, Lino Jose 2 Arada, Nadir 2 Barles, Guy 2 Bayen, Térence 2 Betz, Livia M. 2 Biswas, Imran H. 2 Chan, Chi Kin 2 Đinh Nho Hào 2 El Boukhari, Nihale 2 Fahim, Arash 2 Feng, Enmin 2 Feng, Xiaobing 2 Fernández-Cara, Enrique 2 Fernández, Francisco Javier 2 Gao, Hang 2 Gorshkov, Andreĭ Aleksandrovich 2 Guglielmi, Roberto 2 Karlsen, Kenneth Hvistendahl 2 Krylov, Nicolaĭ Vladimirovich 2 Lesnic, Daniel 2 Li, Chunfa 2 Luan, Shu 2 Ludovici, Francesco 2 Martinez, Aurea 2 Mateos, Mariano 2 Meyer, Christian 2 Nguyen Dinh, Tuan 2 Papageorgiou, Nikolaos S. 2 Serovaiskii, S. Ya. 2 Silva, Francisco J. 2 Smears, Iain 2 Touzi, Nizar 2 Turanova, Olga 2 Wang, Gengsheng 2 Wollner, Winnifried 2 Yannakakis, Nikolaos 2 Ye, Yuquan 2 Yin, Hongming 2 Yu, Huaiqiang 2 Zerrik, El Hassan 2 Zhang, Jianfeng 2 Zhang, Yufei 2 Zidani, Housnaa 2 Zou, Benteng 2 Zuazua, Enrique 1 Adams, David Randolph 1 Akhmedov, Odiljon S. 1 Akian, Marianne 1 Alibert, Jean-Jacques 1 Assellaou, Mohamed 1 Azamov, Abdulla Azamovich 1 Bakhramov, Jasurbek A. 1 Bayraktar, Erhan 1 Benamou, Jean-David 1 Bénézet, Cyril 1 Bertoldi, Marcello 1 Boldrini, José Luiz 1 Bongini, Mattia 1 Bonnet, Guillaume 1 Boucekkine, Raouf 1 Braack, Malte 1 Briani, Maya 1 Brock, William A.“Buz” 1 Buchholz, Rico 1 Bui Trong Kien ...and 154 more Authors
all top 5

#### Cited in 90 Serials

 18 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 13 SIAM Journal on Control and Optimization 11 Journal of Optimization Theory and Applications 9 Numerische Mathematik 9 Computational Optimization and Applications 8 Applied Mathematics and Optimization 6 Mathematics of Computation 6 Numerical Functional Analysis and Optimization 6 SIAM Journal on Numerical Analysis 5 Journal of Mathematical Analysis and Applications 5 The Annals of Applied Probability 4 Applied Mathematics and Computation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Applicable Analysis 3 Computers & Mathematics with Applications 3 Automatica 3 Journal of Differential Equations 3 Journal of Scientific Computing 3 SIAM Journal on Optimization 3 Journal of Dynamical and Control Systems 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Set-Valued and Variational Analysis 3 Mathematical Control and Related Fields 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Journal of Computational and Applied Mathematics 2 Optimal Control Applications & Methods 2 Systems & Control Letters 2 Zeitschrift für Analysis und ihre Anwendungen 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Economic Dynamics & Control 2 NoDEA. Nonlinear Differential Equations and Applications 2 Advances in Computational Mathematics 2 Optimization Methods & Software 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Optimization and Engineering 2 Nonlinear Analysis. Real World Applications 2 Ural Mathematical Journal 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Control 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 The Annals of Probability 1 Calcolo 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Optimization 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Japan Journal of Industrial and Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 Stochastic Processes and their Applications 1 International Journal of Robust and Nonlinear Control 1 Journal of Mathematical Imaging and Vision 1 Russian Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Electronic Journal of Differential Equations (EJDE) 1 Numerical Linear Algebra with Applications 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Convex Analysis 1 Discrete and Continuous Dynamical Systems 1 Vietnam Journal of Mathematics 1 Positivity 1 Taiwanese Journal of Mathematics 1 Journal of Shanghai University 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Revista Matemática Complutense 1 Mathematical and Computer Modelling of Dynamical Systems 1 Macroeconomic Dynamics 1 Lobachevskii Journal of Mathematics 1 The ANZIAM Journal 1 Differential Equations 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 Structural and Multidisciplinary Optimization 1 International Journal of Number Theory 1 Proceedings of the Steklov Institute of Mathematics 1 Optimization Letters 1 Discrete and Continuous Dynamical Systems. Series S 1 SIAM Journal on Financial Mathematics 1 Afrika Matematika 1 Numerical Algebra, Control and Optimization 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
all top 5

#### Cited in 24 Fields

 168 Calculus of variations and optimal control; optimization (49-XX) 128 Partial differential equations (35-XX) 84 Numerical analysis (65-XX) 40 Systems theory; control (93-XX) 22 Operations research, mathematical programming (90-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Probability theory and stochastic processes (60-XX) 8 Fluid mechanics (76-XX) 7 Ordinary differential equations (34-XX) 6 Biology and other natural sciences (92-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Mechanics of deformable solids (74-XX) 3 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX)