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Mathematical Control and Related Fields

Short Title: Math. Control Relat. Fields
Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO
ISSN: 2156-8472; 2156-8499/e
Online: https://www.aimsciences.org/journal/2156-8472
http://aimsciences.org/journals/home.jsp?journalID=23
Comments: Indexed cover-to-cover; Published electronic only as of 3 (2013). Print ISSN until then: 2156-8472
Documents Indexed: 358 Publications (since 2011)
References Indexed: 292 Publications with 8,420 References.
all top 5

Authors

8 Yong, Jiongmin
6 Casas, Eduardo
6 Lou, Hongwei
5 Grüne, Lars
5 Kunisch, Karl
5 Maniar, Lahcen
5 Rösch, Arnd
5 Trélat, Emmanuel
5 Tröltzsch, Fredi
5 Yin, George Gang
5 Zhang, Qing
4 Cristofol, Michel
4 Vexler, Boris
4 Wu, Zhen
4 Zuazua, Enrique
3 Alabau-Boussouira, Fatiha
3 Ammar-Khodja, Farid
3 Antil, Harbir
3 Bonnard, Bernard
3 Boyer, Franck
3 Cannarsa, Piermarco
3 Chen, Zengjing
3 Chyba, Monique
3 Clason, Christian
3 de Teresa, Luz
3 Fardigola, Larissa V.
3 Fernández-Cara, Enrique
3 Guiver, Chris
3 Hu, Ying
3 Huang, Jianhui
3 Kian, Yavar
3 Kogut, Peter I.
3 Ma, Jin
3 Mateos, Mariano
3 Morancey, Morgan
3 Piccoli, Benedetto
3 Prieur, Christophe
3 Sugny, Dominique
3 Takahashi, Takéo
3 Tie, Jingzhi
3 Tucsnak, Marius
3 Wachsmuth, Daniel
3 Wang, Gengsheng
3 Wehbe, Ali
3 Yi, Fahuai
3 Zhang, Bingyu
3 Zhou, Xunyu
2 Alia, Ishak
2 Alvarez-Vázquez, Lino Jose
2 Bellassoued, Mourad
2 Benabdallah, Assia
2 Biccari, Umberto
2 Botkin, Nikolai D.
2 Boulakia, Muriel
2 Breiten, Tobias
2 Caillau, Jean-Baptiste
2 Chen, Shuping
2 Christof, Constantin
2 Colli, Pierluigi
2 Cots, Olivier
2 Duprez, Michel
2 Ervedoza, Sylvain
2 Frankowska, Hélène
2 Gilardi, Gianni
2 Guan, Chonghu
2 Gugat, Martin
2 Guglielmi, Roberto
2 Hafemeyer, Dominik
2 Hegoburu, Nicolas
2 Hernández-Santamaría, Víctor
2 Herty, Michael Matthias
2 Hinze, Michael
2 Horsin, Thierry
2 Idczak, Dariusz
2 Ji, Shaolin
2 Jin, Zhuo
2 Jouan, Philippe
2 Leugering, Günter
2 Li, Xun
2 Liang, Jin
2 Liu, Jingzhen
2 Liu, Xu
2 Lohéac, Jérôme
2 Lü, Qi
2 Marinoschi, Gabriela
2 Martinez, Aurea
2 Matignon, Denis
2 Meyer, Christian
2 Mohan, Manil Thankamani
2 Montes, Alex M.
2 Münch, Arnaud
2 Neitzel, Ira
2 Nicaise, Serge
2 Olive, Guillaume
2 Pazoto, Ademir Fernando
2 Peng, Shige
2 Pfeiffer, Laurent
2 Phung, Kim Dang
2 Rao, Bopeng
2 Raymond, Jean-Pierre
...and 497 more Authors
all top 5

Fields

209 Systems theory; control (93-XX)
183 Partial differential equations (35-XX)
140 Calculus of variations and optimal control; optimization (49-XX)
60 Probability theory and stochastic processes (60-XX)
44 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
32 Ordinary differential equations (34-XX)
32 Numerical analysis (65-XX)
16 Operations research, mathematical programming (90-XX)
15 Operator theory (47-XX)
15 Mechanics of deformable solids (74-XX)
14 Fluid mechanics (76-XX)
13 Biology and other natural sciences (92-XX)
12 Dynamical systems and ergodic theory (37-XX)
8 Differential geometry (53-XX)
7 Real functions (26-XX)
6 General and overarching topics; collections (00-XX)
6 Mechanics of particles and systems (70-XX)
6 Quantum theory (81-XX)
5 Global analysis, analysis on manifolds (58-XX)
3 Algebraic geometry (14-XX)
3 Topological groups, Lie groups (22-XX)
3 Functional analysis (46-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 History and biography (01-XX)
2 Measure and integration (28-XX)
2 Difference and functional equations (39-XX)
2 Integral equations (45-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Convex and discrete geometry (52-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Optics, electromagnetic theory (78-XX)
1 Statistical mechanics, structure of matter (82-XX)

Publications by Year

Citations contained in zbMATH Open

242 Publications have been cited 1,457 times in 1,234 Documents Cited by Year
Recent results on the controllability of linear coupled parabolic problems: a survey. Zbl 1235.93041
Ammar-Khodja, Farid; Benabdallah, Assia; González-Burgos, Manuel; De Teresa, Luz
71
2011
Time-inconsistent optimal control problems and the equilibrium HJB equation. Zbl 1251.93144
Yong, Jiongmin
61
2012
Inverse source problem with a final overdetermination for a fractional diffusion equation. Zbl 1241.35220
Sakamoto, Kenichi; Yamamoto, Masahiro
51
2011
Sparse stabilization and optimal control of the Cucker-Smale model. Zbl 1275.49003
Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel
39
2013
Strict Lyapunov functions for semilinear parabolic partial differential equations. Zbl 1231.93097
Mazenc, Frédéric; Prieur, Christophe
37
2011
A linear-quadratic optimal control problem for mean-field stochastic differential equations in infinite horizon. Zbl 1326.49051
Huang, Jianhui; Li, Xun; Yong, Jiongmin
31
2015
Control of a Korteweg-de Vries equation: a tutorial. Zbl 1281.93018
Cerpa, Eduardo
31
2014
Determination of time dependent factors of coefficients in fractional diffusion equations. Zbl 1348.35317
Fujishiro, Kenichi; Kian, Yavar
28
2016
Optimal control of a non-smooth semilinear elliptic equation. Zbl 1407.49026
Christof, Constantin; Meyer, Christian; Walther, Stephan; Clason, Christian
25
2018
Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions. Zbl 1370.37157
Mironchenko, Andrii; Ito, Hiroshi
24
2016
Exact controllability of scalar conservation laws with strict convex flux. Zbl 1310.35232
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
22
2014
A deterministic linear quadratic time-inconsistent optimal control problem. Zbl 1222.49043
Yong, Jiongmin
21
2011
Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131
Casas, Eduardo; Vexler, Boris; Zuazua, Enrique
20
2015
The cost of controlling weakly degenerate parabolic equations by boundary controls. Zbl 1360.35104
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
20
2017
Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and Newton methods. Zbl 1264.35260
Fernández-Cara, Enrique; Münch, Arnaud
19
2012
Optimal sampled-data control, and generalizations on time scales. Zbl 1335.49031
Bourdin, Loïc; Trélat, Emmanuel
17
2016
Energy decay estimates for some weakly coupled Euler-Bernoulli and wave equations with indirect damping mechanisms. Zbl 1246.93093
Tebou, Louis
16
2012
Approximate controllability conditions for some linear 1D parabolic systems with space-dependent coefficients. Zbl 1303.93036
Boyer, Franck; Olive, Guillaume
16
2014
Optimal control problems of forward-backward stochastic Volterra integral equations. Zbl 1337.49044
Shi, Yufeng; Wang, Tianxiao; Yong, Jiongmin
15
2015
Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes. Zbl 1407.65277
Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd
15
2018
Global well-posedness and asymptotic behavior of a class of initial-boundary-value problem of the Korteweg-de Vries equation on a finite domain. Zbl 1219.35251
Rivas, Ivonne; Usman, Muhammad; Zhang, Bing-Yu
14
2011
Control of a network of magnetic ellipsoidal samples. Zbl 1231.93013
Agarwal, Shruti; Carbou, Gilles; Labbé, Stéphane; Prieur, Christophe
14
2011
Stability of the determination of a time-dependent coefficient in parabolic equations. Zbl 1259.35221
Choulli, Mourad; Kian, Yavar
14
2013
Finite-time stabilization of a network of strings. Zbl 1332.93297
Alabau-Boussouira, Fatiha; Perrollaz, Vincent; Rosier, Lionel
13
2015
Observability of heat processes by transmutation without geometric restrictions. Zbl 1244.35028
Ervedoza, Sylvain; Zuazua, Enrique
13
2011
Indirect stabilization of weakly coupled systems with hybrid boundary conditions. Zbl 1241.93038
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Guglielmi, Roberto
13
2011
Local controllability of 1D Schrödinger equations with bilinear control and minimal time. Zbl 1281.93016
Beauchard, Karine; Morancey, Morgan
12
2014
Ricci curvatures in Carnot groups. Zbl 1275.53034
Rifford, Ludovic
12
2013
Second order optimality conditions for optimal control of quasilinear parabolic equations. Zbl 1405.35095
Bonifacius, Lucas; Neitzel, Ira
12
2018
Optimal control of the coefficient for the regional fractional \(p\)-Laplace equation: approximation and convergence. Zbl 1423.35388
Antil, Harbir; Warma, Mahamadi
12
2019
Exact controllability of linear stochastic differential equations and related problems. Zbl 1360.93109
Wang, Yanqing; Yang, Donghui; Yong, Jiongmin; Yu, Zhiyong
11
2017
Numerical discretization of stabilization problems with boundary controls for systems of hyperbolic conservation laws. Zbl 1262.65068
Banda, Mapundi K.; Herty, Michael
11
2013
Decompositions and bang-bang properties. Zbl 1352.93020
Wang, Gengsheng; Zhang, Yubiao
11
2017
Quantitative approximation properties for the fractional heat equation. Zbl 1442.35550
Rüland, Angkana; Salo, Mikko
11
2020
Transposition method for backward stochastic evolution equations revisited, and its application. Zbl 1316.93126
Lü, Qi; Zhang, Xu
10
2015
Regularity results for a time-optimal control problem in the space of probability measures. Zbl 1365.49024
Cavagnari, Giulia
10
2017
Local controllability of the \(N\)-dimensional Boussinesq system with \(N - 1\) scalar controls in an arbitrary control domain. Zbl 1259.35214
Carreño, Nicolás
10
2012
Controllability to trajectories for some parabolic systems of three and two equations by one control force. Zbl 1281.93017
Benabdallah, Assia; Cristofol, Michel; Gaitan, Patricia; De Teresa, Luz
10
2014
Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme. Zbl 1453.35032
Signori, Andrea
10
2020
Controllability under positivity constraints of semilinear heat equations. Zbl 1416.35142
Pighin, Dario; Zuazua, Enrique
10
2018
Counting function for interior transmission eigenvalues. Zbl 1332.35242
Robbiano, Luc
10
2016
Neumann boundary feedback stabilization for a nonlinear wave equation: A strict \(H^2\)-Lyapunov function. Zbl 1366.76079
Gugat, Martin; Leugering, Günter; Wang, Ke
10
2017
Internal stabilization of a Mindlin-Timoshenko model by interior feedbacks. Zbl 1234.35271
Nicaise, Serge
9
2011
Characterizations of equilibrium controls in time inconsistent mean-field stochastic linear quadratic problems. I. Zbl 1426.49036
Wang, Tianxiao
9
2019
Internal control of the Schrödinger equation. Zbl 1281.93022
Laurent, Camille
9
2014
Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction. Zbl 1368.76010
Gugat, Martin; Dick, Markus
9
2011
Approximate controllability of semilinear reaction diffusion equations. Zbl 1250.93032
Leiva, Hugo; Merentes, Nelson; Sánchez, José L.
9
2012
Linear quadratic mean-field-game of backward stochastic differential systems. Zbl 1416.93198
Du, Kai; Huang, Jianhui; Wu, Zhen
9
2018
Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
9
2016
Time optimal control problems for some non-smooth systems. Zbl 1307.49018
Lou, Hongwei; Wen, Junjie; Xu, Yashan
9
2014
Time-inconsistent optimal control problem with random coefficients and stochastic equilibrium HJB equation. Zbl 1316.93127
Wang, Haiyang; Wu, Zhen
8
2015
Optimal \(L^2\)-control problem in coefficients for a linear elliptic equation. I: Existence result. Zbl 1326.49005
Horsin, Thierry; Kogut, Peter I.
8
2015
Global controllability and stabilizability of Kawahara equation on a periodic domain. Zbl 1322.93022
Zhao, Xiangqing; Zhang, Bing-Yu
8
2015
Well-posedness and asymptotic stability for the Lamé system with infinite memories in a bounded domain. Zbl 1308.35003
Bchatnia, Ahmed; Guesmia, Aissa
8
2014
Stability estimates for a Robin coefficient in the two-dimensional Stokes system. Zbl 1302.35311
Boulakia, Muriel; Egloffe, Anne-Claire; Grandmont, Céline
7
2013
Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary. Zbl 1348.35314
Cristofol, Michel; Li, Shumin; Soccorsi, Eric
7
2016
Analysis and optimal control of some quasilinear parabolic equations. Zbl 1416.35145
Casas, Eduardo; Chrysafinos, Konstantinos
7
2018
Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation. Zbl 1331.35235
Ammari, Kaïs; Duyckaerts, Thomas; Shirikyan, Armen
7
2016
Multivariable boundary PI control and regulation of a fluid flow system. Zbl 1303.93095
Xu, Cheng-Zhong; Sallet, Gauthier
7
2014
Finite element approximation of sparse parabolic control problems. Zbl 1369.49006
Casas, Eduardo; Mateos, Mariano; Rösch, Arnd
7
2017
Stability and output feedback control for singular Markovian jump delayed systems. Zbl 1406.93365
Chen, Jian; Zhang, Tao; Zhang, Ziye; Lin, Chong; Chen, Bing
7
2018
Relative controllability of linear systems of fractional order with delay. Zbl 1332.93061
Mur, Therese; Henriquez, Hernan R.
6
2015
Optimal control problem for exact synchronization of parabolic system. Zbl 1427.93042
Wang, Lijuan; Yan, Qishu
6
2019
A non-exponential discounting time-inconsistent stochastic optimal control problem for jump-diffusion. Zbl 1429.93413
Alia, Ishak
6
2019
Controllability of the cubic Schroedinger equation via a low-dimensional source term. (Controllability of the cubic Schrödinger equation via a low-dimensional source term.) Zbl 1251.93037
Sarychev, Andrey
6
2012
Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries. Zbl 1448.93023
Allonsius, Damien; Boyer, Franck
6
2020
Partial null controllability of parabolic linear systems. Zbl 1347.93053
Khodja, Farid Ammar; Chouly, Franz; Duprez, Michel
6
2016
Asymptotic stability of wave equations coupled by velocities. Zbl 1345.93135
Cui, Yan; Wang, Zhiqiang
6
2016
An optimal consumption-investment model with constraint on consumption. Zbl 1414.91355
Xu, Zuo Quan; Yi, Fahuai
6
2016
Control and stabilization of \(2\times 2\) hyperbolic systems on graphs. Zbl 1357.35212
Nicaise, Serge
6
2017
Numerical study of polynomial feedback laws for a bilinear control problem. Zbl 1418.49002
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
6
2018
A stochastic control problem and related free boundaries in finance. Zbl 1373.35343
Guan, Chonghu; Li, Xun; Xu, Zuo Quan; Yi, Fahuai
6
2017
Asymptotic stability of Webster-Lokshin equation. Zbl 1308.35032
Matignon, Denis; Prieur, Christophe
6
2014
Compact perturbations of controlled systems. Zbl 1405.93037
Duprez, Michel; Olive, Guillaume
6
2018
Fractional optimal control problems on a star graph: optimality system and numerical solution. Zbl 1460.34017
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
6
2021
Continuous-time portfolio selection under ambiguity. Zbl 1336.91066
Jin, Hanqing; Zhou, Xun Yu
5
2015
Global Carleman estimate on a network for the wave equation and application to an inverse problem. Zbl 1234.35307
Baudouin, Lucie; Crépeau, Emmanuelle; Valein, Julie
5
2011
Global stabilization of a coupled system of two generalized Korteweg-de Vries type equations posed on a finite domain. Zbl 1235.93209
Nina, Dugan; Pazoto, Ademir Fernando; Rosier, Lionel
5
2011
Application of the boundary control method to partial data Borg-Levinson inverse spectral problem. Zbl 1423.35450
Kian, Yavar; Morancey, Morgan; Oksanen, Lauri
5
2019
On the minimum time function around the origin. Zbl 1262.49042
Colombo, Giovanni; Nguyen, Khai T.
5
2013
The simplest semilinear parabolic equation of normal type. Zbl 1252.35158
Fursikov, Andrei
5
2012
A unified theory of maximum principle for continuous and discrete time optimal control problems. Zbl 1252.49033
Zhan, Zaidong; Chen, Shuping; Wei, Wei
5
2012
Accessibility conditions of MIMO nonlinear control systems on homogeneous time scales. Zbl 1352.34118
Bartosiewicz, Zbigniew; Kotta, Ülle; Tõnso, Maris; Wyrwas, Małgorzata
5
2016
A semidiscrete Galerkin scheme for backward stochastic parabolic differential equations. Zbl 1349.65493
Wang, Yanqing
5
2016
An infinite time horizon portfolio optimization model with delays. Zbl 1348.91259
Pang, Tao; Hussain, Azmat
5
2016
Carleman commutator approach in logarithmic convexity for parabolic equations. Zbl 1416.35132
Phung, Kim Dang
5
2018
Phantom tracking method, homogeneity and rapid stabilization. Zbl 1272.93094
Coron, Jean-Michel
5
2013
A relaxation result for state constrained inclusions in infinite dimension. Zbl 1348.34111
Frankowska, Helene; Marchini, Elsa Maria; Mazzola, Marco
5
2016
Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients. Zbl 1407.65203
Trautmann, Philip; Vexler, Boris; Zlotnik, Alexander
5
2018
A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
5
2020
Uncertainty damping in kinetic traffic models by driver-assist controls. Zbl 1473.35392
Tosin, Andrea; Zanella, Mattia
5
2021
Optimal blowup/quenching time for controlled autonomous ordinary differential equations. Zbl 1322.49037
Lou, Hongwei; Wang, Weihan
4
2015
Razumikhin-type theorems on moment exponential stability of functional differential equations involving two-time-scale Markovian switching. Zbl 1323.34091
Wu, Fuke; Yin, George; Wang, Le Yi
4
2015
On the influence of the coupling on the dynamics of single-observed cascade systems of PDE’s. Zbl 1322.93023
Alabau-Boussouira, Fatiha
4
2015
Inverse problems for the fourth order Schrödinger equation on a finite domain. Zbl 1328.35327
Zheng, Chuang
4
2015
Numerical methods for dividend optimization using regime-switching jump-diffusion models. Zbl 1222.93237
Jin, Zhuo; Yin, George; Yang, Hailiang
4
2011
Exact controllability of a multilayer Rao-Nakra plate with free boundary conditions. Zbl 1231.93015
Hansen, Scott W.; Imanuvilov, Oleg Yu
4
2011
A partially observed non-zero sum differential game of forward-backward stochastic differential equations and its application in finance. Zbl 1426.49041
Xiong, Jie; Zhang, Shuaiqi; Zhuang, Yi
4
2019
Controllability for a string with attached masses and Riesz bases for asymmetric spaces. Zbl 1429.93035
Avdonin, Sergei; Edward, Julian
4
2019
Optimal control and zero-sum games for Markov chains of mean-field type. Zbl 1427.60105
Choutri, Salah Eddine; Djehiche, Boualem; Tembine, Hamidou
4
2019
Model reduction for fractional elliptic problems using Kato’s formula. Zbl 07499503
Dinh, Huy; Antil, Harbir; Chen, Yanlai; Cherkaev, Elena; Narayan, Akil
2
2022
Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback. Zbl 07499505
Zhang, Christophe
1
2022
Stability analysis of infinite-dimensional event-triggered and self-triggered control systems with Lipschitz perturbations. Zbl 1485.93459
Wakaiki, Masashi; Sano, Hideki
1
2022
Fractional optimal control problems on a star graph: optimality system and numerical solution. Zbl 1460.34017
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
6
2021
Uncertainty damping in kinetic traffic models by driver-assist controls. Zbl 1473.35392
Tosin, Andrea; Zanella, Mattia
5
2021
Linear-quadratic-Gaussian mean-field-game with partial observation and common noise. Zbl 1471.91026
Bensoussan, Alain; Feng, Xinwei; Huang, Jianhui
3
2021
Mean-field stochastic linear-quadratic optimal control problems: weak closed-loop solvability. Zbl 1461.93553
Sun, Jingrui; Wang, Hanxiao
2
2021
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. Zbl 1462.49058
Grüne, Lars; Guglielmi, Roberto
2
2021
Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations. Zbl 1471.93084
Grüne, Lars; Mechelli, Luca; Pirkelmann, Simon; Volkwein, Stefan
2
2021
A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system. Zbl 1472.49058
Holtmannspötter, Marita; Rösch, Arnd; Vexler, Boris
2
2021
Approximate controllability of nonlinear parabolic PDEs in arbitrary space dimension. Zbl 1477.35097
Nersesyan, Vahagn
1
2021
Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems. Zbl 1483.35297
Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki
1
2021
Improved error estimates for optimal control of the Stokes problem with pointwise tracking in three dimensions. Zbl 1473.49033
Behringer, Niklas
1
2021
Stable determination of a vector field in a non-self-adjoint dynamical Schrödinger equation on Riemannian manifolds. Zbl 1477.35310
Bellassoued, Mourad; Ben Aïcha, Ibtissem; Rezig, Zouhour
1
2021
Extended backward stochastic Volterra integral equations and their applications to time-inconsistent stochastic recursive control problems. Zbl 1478.93732
Hamaguchi, Yushi
1
2021
Optimal dividend policy in an insurance company with contagious arrivals of claims. Zbl 1479.91314
Chen, Yiling; Bian, Baojun
1
2021
Optimal control of ODEs with state suprema. Zbl 1472.49048
Geiger, Tobias; Wachsmuth, Daniel; Wachsmuth, Gerd
1
2021
First order necessary conditions of optimality for the two dimensional tidal dynamics system. Zbl 1481.49007
Mohan, Manil T.
1
2021
Quantitative approximation properties for the fractional heat equation. Zbl 1442.35550
Rüland, Angkana; Salo, Mikko
11
2020
Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme. Zbl 1453.35032
Signori, Andrea
10
2020
Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries. Zbl 1448.93023
Allonsius, Damien; Boyer, Franck
6
2020
A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
5
2020
Free boundaries of credit rating migration in switching macro regions. Zbl 1441.35241
Wu, Yuan; Liang, Jin
2
2020
Optimal investment problem with delay under partial information. Zbl 1447.91166
Zhang, Shuaiqi; Xiong, Jie; Zhang, Xin
2
2020
Singular control of SPDEs with space-mean dynamics. Zbl 1459.60135
Agram, Nacira; Hilbert, Astrid; Øksendal, Bernt
2
2020
Minimal time of null controllability of two parabolic equations. Zbl 1442.93010
Ouaili, Lydia
2
2020
Optimality conditions in variational form for non-linear constrained stochastic control problems. Zbl 1452.90230
Pfeiffer, Laurent
2
2020
Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems. Zbl 1462.81103
Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario
2
2020
Finite element error estimates for one-dimensional elliptic optimal control by BV-functions. Zbl 1465.65137
Hafemeyer, Dominik; Mannel, Florian; Neitzel, Ira; Vexler, Boris
1
2020
A Poincaré-Bendixson theorem for hybrid systems. Zbl 1442.34072
Clark, William; Bloch, Anthony; Colombo, Leonardo
1
2020
A direct method based on the Clenshaw-Curtis formula for fractional optimal control problems. Zbl 1439.49054
Skandari, Mohammad Hadi Noori; Habibli, Marzieh; Nazemi, Alireza
1
2020
Implicit parametrizations and applications in optimization and control. Zbl 1456.49008
Tiba, Dan
1
2020
Sparse optimal control for the heat equation with mixed control-state constraints. Zbl 1455.49013
Casas, Eduardo; Tröltzsch, Fredi
1
2020
Optimal periodic control for scalar dynamics under integral constraint on the input. Zbl 1455.49001
Bayen, Térence; Rapaport, Alain; Tani, Fatima-Zahra
1
2020
Optimal control of the linear wave equation by time-depending BV-controls: a semi-smooth Newton approach. Zbl 1455.49002
Engel, Sebastian; Kunisch, Karl
1
2020
The Kato smoothing effect for the nonlinear regularized Schrödinger equation on compact manifolds. Zbl 1464.35307
Aloui, Lassaad; El Khal El Taief, Imen
1
2020
Maximal discrete sparsity in parabolic optimal control with measures. Zbl 1462.49011
Herberg, Evelyn; Hinze, Michael; Schumacher, Henrik
1
2020
Optimal control of the coefficient for the regional fractional \(p\)-Laplace equation: approximation and convergence. Zbl 1423.35388
Antil, Harbir; Warma, Mahamadi
12
2019
Characterizations of equilibrium controls in time inconsistent mean-field stochastic linear quadratic problems. I. Zbl 1426.49036
Wang, Tianxiao
9
2019
Optimal control problem for exact synchronization of parabolic system. Zbl 1427.93042
Wang, Lijuan; Yan, Qishu
6
2019
A non-exponential discounting time-inconsistent stochastic optimal control problem for jump-diffusion. Zbl 1429.93413
Alia, Ishak
6
2019
Application of the boundary control method to partial data Borg-Levinson inverse spectral problem. Zbl 1423.35450
Kian, Yavar; Morancey, Morgan; Oksanen, Lauri
5
2019
A partially observed non-zero sum differential game of forward-backward stochastic differential equations and its application in finance. Zbl 1426.49041
Xiong, Jie; Zhang, Shuaiqi; Zhuang, Yi
4
2019
Controllability for a string with attached masses and Riesz bases for asymmetric spaces. Zbl 1429.93035
Avdonin, Sergei; Edward, Julian
4
2019
Optimal control and zero-sum games for Markov chains of mean-field type. Zbl 1427.60105
Choutri, Salah Eddine; Djehiche, Boualem; Tembine, Hamidou
4
2019
Insensitizing controls for a semilinear parabolic equation: a numerical approach. Zbl 1423.35144
Boyer, Franck; Hernández-Santamaría, Víctor; De Teresa, Luz
4
2019
On algebraic condition for null controllability of some coupled degenerate systems. Zbl 1423.35150
El Mustapha, Ait Ben Hassi; Mohamed, Fadili; Maniar, Lahcen
3
2019
Stabilization of multidimensional wave equation with locally boundary fractional dissipation law under geometric conditions. Zbl 1426.35025
Akil, Mohammad; Wehbe, Ali
3
2019
Approximation of controls for linear wave equations: a first order mixed formulation. Zbl 1443.93034
Montaner, Santiago; Münch, Arnaud
3
2019
Local null controllability of a rigid body moving into a Boussinesq flow. Zbl 1437.35547
Roy, Arnab; Takahashi, Takéo
3
2019
A fully nonlinear free boundary problem arising from optimal dividend and risk control model. Zbl 1427.93276
Guan, Chonghu; Yi, Fahuai; Chen, Xiaoshan
2
2019
Discretized feedback control for systems of linearized hyperbolic balance laws. Zbl 1429.37056
Gerster, Stephan; Herty, Michael
2
2019
Decay rates for stabilization of linear continuous-time systems with random switching. Zbl 1425.93228
Colonius, Fritz; Mazanti, Guilherme
2
2019
Extension of the strong law of large numbers for capacities. Zbl 1448.60068
Chen, Zengjing; Huang, Weihuan; Wu, Panyu
2
2019
Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential. Zbl 1423.35130
Biccari, Umberto
2
2019
Local sensitivity via the complex-step derivative approximation for 1D poro-elastic and poro-visco-elastic models. Zbl 1437.49038
Banks, H. Thomas; Bekele-Maxwell, Kidist; Bociu, Lorena; Noorman, Marcella; Guidoboni, Giovanna
2
2019
Backward uniqueness results for some parabolic equations in an infinite rod. Zbl 1442.35178
Dardé, Jérémi; Ervedoza, Sylvain
2
2019
On a logarithmic stability estimate for an inverse heat conduction problem. Zbl 1428.65031
Jbalia, Aymen
1
2019
Randomized algorithms for stabilizing switching signals. Zbl 1425.93139
Balachandran, Niranjan; Kundu, Atreyee; Chatterjee, Debasish
1
2019
Strong stabilization of (almost) impedance passive systems by static output feedback. Zbl 1441.93219
Curtain, Ruth F.; Weiss, George
1
2019
On the null controllability of the Lotka-McKendrick system. Zbl 1441.92038
Maity, Debayan
1
2019
Asymptotic stability of the multidimensional wave equation coupled with classes of positive-real impedance boundary conditions. Zbl 1437.35085
Monteghetti, Florian; Haine, Ghislain; Matignon, Denis
1
2019
Optimal control of a non-smooth semilinear elliptic equation. Zbl 1407.49026
Christof, Constantin; Meyer, Christian; Walther, Stephan; Clason, Christian
25
2018
Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes. Zbl 1407.65277
Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd
15
2018
Second order optimality conditions for optimal control of quasilinear parabolic equations. Zbl 1405.35095
Bonifacius, Lucas; Neitzel, Ira
12
2018
Controllability under positivity constraints of semilinear heat equations. Zbl 1416.35142
Pighin, Dario; Zuazua, Enrique
10
2018
Linear quadratic mean-field-game of backward stochastic differential systems. Zbl 1416.93198
Du, Kai; Huang, Jianhui; Wu, Zhen
9
2018
Analysis and optimal control of some quasilinear parabolic equations. Zbl 1416.35145
Casas, Eduardo; Chrysafinos, Konstantinos
7
2018
Stability and output feedback control for singular Markovian jump delayed systems. Zbl 1406.93365
Chen, Jian; Zhang, Tao; Zhang, Ziye; Lin, Chong; Chen, Bing
7
2018
Numerical study of polynomial feedback laws for a bilinear control problem. Zbl 1418.49002
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
6
2018
Compact perturbations of controlled systems. Zbl 1405.93037
Duprez, Michel; Olive, Guillaume
6
2018
Carleman commutator approach in logarithmic convexity for parabolic equations. Zbl 1416.35132
Phung, Kim Dang
5
2018
Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients. Zbl 1407.65203
Trautmann, Philip; Vexler, Boris; Zlotnik, Alexander
5
2018
Necessary conditions for infinite horizon optimal control problems with state constraints. Zbl 1422.49022
Basco, Vincenzo; Cannarsa, Piermarco; Frankowska, Hélène
4
2018
General boundary value problems of the Korteweg-de Vries equation on a bounded domain. Zbl 1420.35307
Capistrano-Filho, Roberto A.; Sun, Shuming; Zhang, Bing-Yu
4
2018
Time-inconsistent recursive zero-sum stochastic differential games. Zbl 1418.49040
Wei, Qingmeng; Yu, Zhiyong
4
2018
Second-order necessary conditions for optimal control of semilinear elliptic equations with leading term containing controls. Zbl 1407.49028
Lou, Hongwei; Yong, Jiongmin
4
2018
Tikhonov regularization of optimal control problems governed by semi-linear partial differential equations. Zbl 1407.49031
Pörner, Frank; Wachsmuth, Daniel
4
2018
Operator-valued backward stochastic Lyapunov equations in infinite dimensions, and its application. Zbl 1405.93233
Lü, Qi; Zhang, Xu
4
2018
Controllability and observability of some coupled stochastic parabolic systems. Zbl 1417.93073
Liu, Lingyang; Liu, Xu
3
2018
Optimal control of urban air pollution related to traffic flow in road networks. Zbl 1407.49040
Alvarez-Vázquez, Lino J.; García-Chan, Néstor; Martínez, Aurea; Vázquez-Méndez, Miguel E.
3
2018
Error analysis for global minima of semilinear optimal control problems. Zbl 07006608
Ali, Ahmad Ahmad; Deckelnick, Klaus; Hinze, Michael
3
2018
Asymptotic behavior of a Schrödinger equation under a constrained boundary feedback. Zbl 1406.81024
Cui, Haoyue; Liu, Dongyi; Xu, Genqi
3
2018
Value function for regional control problems via dynamic programming and Pontryagin maximum principle. Zbl 1418.49022
Barles, Guy; Briani, Ariela; Trélat, Emmanuel
2
2018
Null controllability of the Lotka-McKendrick system with spatial diffusion. Zbl 1417.92131
Hegoburu, Nicolas; Tucsnak, Marius
2
2018
Quadratic BSDEs with mean reflection. Zbl 1419.60043
Hibon, Hélène; Hu, Ying; Lin, Yiqing; Luo, Peng; Wang, Falei
2
2018
Weak stability of a laminated beam. Zbl 1421.35023
Li, Yanfang; Liu, Zhuangyi; Wang, Yang
2
2018
Recurrence for switching diffusion with past dependent switching and countable state space. Zbl 1419.60056
Nguyen, Dang H.; Yin, George
2
2018
Quantitative unique continuation for the heat equation with Coulomb potentials. Zbl 1418.35054
Zhang, Can
2
2018
Optimal voltage control of non-stationary Eddy current problems. Zbl 1406.35384
Tröltzsch, Fredi; Valli, Alberto
2
2018
Frequency-sparse optimal quantum control. Zbl 1407.49006
Friesecke, Gero; Henneke, Felix; Kunisch, Karl
2
2018
Water artificial circulation for eutrophication control. Zbl 1407.49029
Martínez, Aurea; Fernández, Francisco J.; Alvarez-Vázquez, Lino J.
2
2018
Existence for nonlinear finite dimensional stochastic differential equations of subgradient type. Zbl 1419.60048
Barbu, Viorel
1
2018
Weak laws of large numbers for sublinear expectation. Zbl 1419.60004
Chen, Zengjing; Liu, Qingyang; Zong, Gaofeng
1
2018
Inverse S-shaped probability weighting and its impact on investment. Zbl 1418.91475
He, Xue Dong; Kouwenberg, Roy; Zhou, Xun Yu
1
2018
Optimal control problems for some ordinary differential equations with behavior of blowup or quenching. Zbl 1419.49005
Lin, Ping; Wang, Weihan
1
2018
On the switching behavior of sparse optimal controls for the one-dimensional heat equation. Zbl 1407.49032
Tröltzsch, Fredi; Wachsmuth, Daniel
1
2018
A second-order stochastic maximum principle for generalized mean-field singular control problem. Zbl 1405.93232
Guo, Hancheng; Xiong, Jie
1
2018
The cost of controlling weakly degenerate parabolic equations by boundary controls. Zbl 1360.35104
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
20
2017
Exact controllability of linear stochastic differential equations and related problems. Zbl 1360.93109
Wang, Yanqing; Yang, Donghui; Yong, Jiongmin; Yu, Zhiyong
11
2017
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Cited by 1,499 Authors

21 Kian, Yavar
20 Zuazua, Enrique
17 Trélat, Emmanuel
16 Yamamoto, Masahiro
15 Kunisch, Karl
15 Wang, Tianxiao
15 Yong, Jiongmin
13 Coron, Jean-Michel
13 Fernández-Cara, Enrique
12 Cannarsa, Piermarco
12 Li, Xun
11 Casas, Eduardo
10 Gugat, Martin
10 Krstić, Miroslav
10 Lissy, Pierre
10 Münch, Arnaud
10 Piccoli, Benedetto
10 Prieur, Christophe
10 Sun, Jingrui
9 Alabau-Boussouira, Fatiha
9 Cerpa, Eduardo
9 Dwivedi, Sharad
9 Hernández-Santamaría, Víctor
9 Marigonda, Antonio
9 Mateos, Mariano
9 Mironchenko, Andrii
9 Signori, Andrea
9 Wei, Jiaqin
8 Antil, Harbir
8 Boyer, Franck
8 Choulli, Mourad
8 de Teresa, Luz
8 Ghoshal, Shyam Sundar
8 Nicaise, Serge
8 Vexler, Boris
8 Wang, Gengsheng
7 Ammar-Khodja, Farid
7 Carreño, Nicolás
7 Cavagnari, Giulia
7 Chen, Mo
7 Colli, Pierluigi
7 Dubey, Shruti A.
7 Frankowska, Hélène
7 González-Burgos, Manuel
7 Herty, Michael Matthias
7 Le Balc’h, Kévin
7 Léautaud, Matthieu
7 Li, Tatsien
7 Malinowska, Agnieszka Barbara
7 Martinez, Patrick
7 Oksanen, Lauri
7 Pfeiffer, Laurent
7 Rodrigues, Sérgio S.
7 Vancostenoble, Judith
7 Wei, Ting
7 Yu, Zhiyong
6 Ammari, Kais
6 Benabdallah, Assia
6 Bourdin, Loïc
6 Capistrano-Filho, Roberto A.
6 Duprez, Michel
6 Fornasier, Massimo
6 Hu, Guanghui
6 Jin, Zhuo
6 Karafyllis, Iasson
6 Kogut, Peter I.
6 Leugering, Günter
6 Liu, Yikan
6 Odzijewicz, Tatiana
6 Rao, Bopeng
6 Rizzi, Luca
6 Rosier, Lionel
6 Tatar, Salih
6 Trautmann, Philip
6 Wang, Hanxiao
6 Xiong, Jie
6 Zhang, Yangwen
5 Albi, Giacomo
5 Avdonin, Sergeĭ Anatol’evich
5 Barilari, Davide
5 Beauchard, Karine
5 Bonnard, Bernard
5 Christof, Constantin
5 Ervedoza, Sylvain
5 Feizmohammadi, Ali
5 Fursikov, Andreĭ Vladimirovich
5 Guan, Chonghu
5 Han, Bo
5 Huang, Yu-Jui
5 Kamocki, Rafal
5 Laurent, Camille
5 Limaco, Juan
5 Liu, Xu
5 Lou, Hongwei
5 Maniar, Lahcen
5 Marx, Swann
5 Matignon, Denis
5 Mei, Hongwei
5 Mercado, Alberto
5 Morancey, Morgan
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Cited in 231 Journals

110 SIAM Journal on Control and Optimization
80 Mathematical Control and Related Fields
78 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
39 Journal of Mathematical Analysis and Applications
39 Systems & Control Letters
37 Automatica
35 Journal of Differential Equations
27 Applied Mathematics and Optimization
25 MCSS. Mathematics of Control, Signals, and Systems
22 Journal de Mathématiques Pures et Appliquées. Neuvième Série
20 Inverse Problems
16 Acta Applicandae Mathematicae
16 SIAM Journal on Mathematical Analysis
15 Applicable Analysis
15 Discrete and Continuous Dynamical Systems. Series B
14 Computers & Mathematics with Applications
14 Journal of Computational and Applied Mathematics
14 Evolution Equations and Control Theory
13 International Journal of Control
12 Journal of Optimization Theory and Applications
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Discrete and Continuous Dynamical Systems. Series S
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Inverse Problems and Imaging
10 Journal of the Franklin Institute
10 Mathematical Problems in Engineering
10 Networks and Heterogeneous Media
9 Journal of Scientific Computing
9 Computational Optimization and Applications
9 Journal of Evolution Equations
8 Journal of Inverse and Ill-Posed Problems
8 Journal of Dynamical and Control Systems
7 Vietnam Journal of Mathematics
7 Advances in Difference Equations
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Journal of Functional Analysis
6 Numerische Mathematik
6 SIAM Journal on Numerical Analysis
6 Stochastic Processes and their Applications
6 Calculus of Variations and Partial Differential Equations
6 Computational and Applied Mathematics
6 NoDEA. Nonlinear Differential Equations and Applications
6 Discrete and Continuous Dynamical Systems
6 Communications on Pure and Applied Analysis
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Archive for Rational Mechanics and Analysis
5 Applied Mathematics and Computation
5 Chinese Annals of Mathematics. Series B
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 SIAM Journal on Optimization
5 Abstract and Applied Analysis
5 Fractional Calculus & Applied Analysis
5 Journal of Systems Science and Complexity
5 SIAM Journal on Financial Mathematics
5 S\(\vec{\text{e}}\)MA Journal
5 Séminaire Laurent Schwartz. EDP et Applications
4 Mathematical Methods in the Applied Sciences
4 Mathematics of Computation
4 Insurance Mathematics & Economics
4 Applied Numerical Mathematics
4 Communications in Partial Differential Equations
4 SIAM Journal on Scientific Computing
4 Advances in Computational Mathematics
4 European Journal of Control
4 Mathematical Modelling and Analysis
4 Journal of Industrial and Management Optimization
4 Inverse Problems in Science and Engineering
4 Dynamic Games and Applications
4 Probability, Uncertainty and Quantitative Risk
3 Inventiones Mathematicae
3 Mathematische Annalen
3 Mathematics and Computers in Simulation
3 Memoirs of the American Mathematical Society
3 Numerical Functional Analysis and Optimization
3 Transactions of the American Mathematical Society
3 Statistics & Probability Letters
3 Acta Mathematicae Applicatae Sinica. English Series
3 Differential Equations
3 Nonlinear Analysis. Real World Applications
3 Stochastics and Dynamics
3 Mediterranean Journal of Mathematics
3 Oberwolfach Reports
3 Boundary Value Problems
3 Mathematics and Financial Economics
3 Kinetic and Related Models
3 Analysis & PDE
3 Proceedings of the Estonian Academy of Sciences
3 Science China. Mathematics
3 Journal of Applied Analysis and Computation
3 Research in the Mathematical Sciences
3 International Journal of Systems Science. Principles and Applications of Systems and Integration
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Computational Physics
2 Mathematical Biosciences
2 Nonlinearity
2 Physica A
2 Chaos, Solitons and Fractals
2 Advances in Mathematics
2 Mathematics of Operations Research
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Cited in 47 Fields

689 Partial differential equations (35-XX)
648 Systems theory; control (93-XX)
342 Calculus of variations and optimal control; optimization (49-XX)
159 Numerical analysis (65-XX)
143 Probability theory and stochastic processes (60-XX)
122 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
65 Ordinary differential equations (34-XX)
62 Operations research, mathematical programming (90-XX)
60 Fluid mechanics (76-XX)
58 Operator theory (47-XX)
53 Mechanics of deformable solids (74-XX)
51 Biology and other natural sciences (92-XX)
35 Real functions (26-XX)
32 Dynamical systems and ergodic theory (37-XX)
22 Integral equations (45-XX)
21 Differential geometry (53-XX)
17 Statistical mechanics, structure of matter (82-XX)
15 Global analysis, analysis on manifolds (58-XX)
13 Functional analysis (46-XX)
11 Optics, electromagnetic theory (78-XX)
9 Difference and functional equations (39-XX)
9 Classical thermodynamics, heat transfer (80-XX)
9 Quantum theory (81-XX)
8 Computer science (68-XX)
8 Mechanics of particles and systems (70-XX)
6 Functions of a complex variable (30-XX)
6 Special functions (33-XX)
6 Integral transforms, operational calculus (44-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Topological groups, Lie groups (22-XX)
4 General and overarching topics; collections (00-XX)
4 Combinatorics (05-XX)
3 Measure and integration (28-XX)
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3 Statistics (62-XX)
2 History and biography (01-XX)
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2 Information and communication theory, circuits (94-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Geometry (51-XX)
1 Manifolds and cell complexes (57-XX)

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