## 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/2156-8472http://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.
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### Latest Issues

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### 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
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### 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)

### 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
2011
Time-inconsistent optimal control problems and the equilibrium HJB equation. Zbl 1251.93144
Yong, Jiongmin
2012
Inverse source problem with a final overdetermination for a fractional diffusion equation. Zbl 1241.35220
Sakamoto, Kenichi; Yamamoto, Masahiro
2011
Sparse stabilization and optimal control of the Cucker-Smale model. Zbl 1275.49003
Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel
2013
Strict Lyapunov functions for semilinear parabolic partial differential equations. Zbl 1231.93097
Mazenc, Frédéric; Prieur, Christophe
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
2015
Control of a Korteweg-de Vries equation: a tutorial. Zbl 1281.93018
Cerpa, Eduardo
2014
Determination of time dependent factors of coefficients in fractional diffusion equations. Zbl 1348.35317
Fujishiro, Kenichi; Kian, Yavar
2016
Optimal control of a non-smooth semilinear elliptic equation. Zbl 1407.49026
Christof, Constantin; Meyer, Christian; Walther, Stephan; Clason, Christian
2018
Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions. Zbl 1370.37157
Mironchenko, Andrii; Ito, Hiroshi
2016
Exact controllability of scalar conservation laws with strict convex flux. Zbl 1310.35232
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
2014
A deterministic linear quadratic time-inconsistent optimal control problem. Zbl 1222.49043
Yong, Jiongmin
2011
Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131
Casas, Eduardo; Vexler, Boris; Zuazua, Enrique
2015
The cost of controlling weakly degenerate parabolic equations by boundary controls. Zbl 1360.35104
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
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
2012
Optimal sampled-data control, and generalizations on time scales. Zbl 1335.49031
Bourdin, Loïc; Trélat, Emmanuel
2016
Energy decay estimates for some weakly coupled Euler-Bernoulli and wave equations with indirect damping mechanisms. Zbl 1246.93093
Tebou, Louis
2012
Approximate controllability conditions for some linear 1D parabolic systems with space-dependent coefficients. Zbl 1303.93036
Boyer, Franck; Olive, Guillaume
2014
Optimal control problems of forward-backward stochastic Volterra integral equations. Zbl 1337.49044
Shi, Yufeng; Wang, Tianxiao; Yong, Jiongmin
2015
Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes. Zbl 1407.65277
Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd
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
2011
Control of a network of magnetic ellipsoidal samples. Zbl 1231.93013
Agarwal, Shruti; Carbou, Gilles; Labbé, Stéphane; Prieur, Christophe
2011
Stability of the determination of a time-dependent coefficient in parabolic equations. Zbl 1259.35221
2013
Finite-time stabilization of a network of strings. Zbl 1332.93297
Alabau-Boussouira, Fatiha; Perrollaz, Vincent; Rosier, Lionel
2015
Observability of heat processes by transmutation without geometric restrictions. Zbl 1244.35028
Ervedoza, Sylvain; Zuazua, Enrique
2011
Indirect stabilization of weakly coupled systems with hybrid boundary conditions. Zbl 1241.93038
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Guglielmi, Roberto
2011
Local controllability of 1D Schrödinger equations with bilinear control and minimal time. Zbl 1281.93016
Beauchard, Karine; Morancey, Morgan
2014
Ricci curvatures in Carnot groups. Zbl 1275.53034
Rifford, Ludovic
2013
Second order optimality conditions for optimal control of quasilinear parabolic equations. Zbl 1405.35095
Bonifacius, Lucas; Neitzel, Ira
2018
Optimal control of the coefficient for the regional fractional $$p$$-Laplace equation: approximation and convergence. Zbl 1423.35388
2019
Exact controllability of linear stochastic differential equations and related problems. Zbl 1360.93109
Wang, Yanqing; Yang, Donghui; Yong, Jiongmin; Yu, Zhiyong
2017
Numerical discretization of stabilization problems with boundary controls for systems of hyperbolic conservation laws. Zbl 1262.65068
Banda, Mapundi K.; Herty, Michael
2013
Decompositions and bang-bang properties. Zbl 1352.93020
Wang, Gengsheng; Zhang, Yubiao
2017
Quantitative approximation properties for the fractional heat equation. Zbl 1442.35550
Rüland, Angkana; Salo, Mikko
2020
Transposition method for backward stochastic evolution equations revisited, and its application. Zbl 1316.93126
Lü, Qi; Zhang, Xu
2015
Regularity results for a time-optimal control problem in the space of probability measures. Zbl 1365.49024
Cavagnari, Giulia
2017
Local controllability of the $$N$$-dimensional Boussinesq system with $$N - 1$$ scalar controls in an arbitrary control domain. Zbl 1259.35214
Carreño, Nicolás
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
2014
Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme. Zbl 1453.35032
Signori, Andrea
2020
Controllability under positivity constraints of semilinear heat equations. Zbl 1416.35142
Pighin, Dario; Zuazua, Enrique
2018
Counting function for interior transmission eigenvalues. Zbl 1332.35242
Robbiano, Luc
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
2017
Internal stabilization of a Mindlin-Timoshenko model by interior feedbacks. Zbl 1234.35271
Nicaise, Serge
2011
Characterizations of equilibrium controls in time inconsistent mean-field stochastic linear quadratic problems. I. Zbl 1426.49036
Wang, Tianxiao
2019
Internal control of the Schrödinger equation. Zbl 1281.93022
Laurent, Camille
2014
Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction. Zbl 1368.76010
Gugat, Martin; Dick, Markus
2011
Approximate controllability of semilinear reaction diffusion equations. Zbl 1250.93032
Leiva, Hugo; Merentes, Nelson; Sánchez, José L.
2012
Linear quadratic mean-field-game of backward stochastic differential systems. Zbl 1416.93198
Du, Kai; Huang, Jianhui; Wu, Zhen
2018
Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
2016
Time optimal control problems for some non-smooth systems. Zbl 1307.49018
Lou, Hongwei; Wen, Junjie; Xu, Yashan
2014
Time-inconsistent optimal control problem with random coefficients and stochastic equilibrium HJB equation. Zbl 1316.93127
Wang, Haiyang; Wu, Zhen
2015
Optimal $$L^2$$-control problem in coefficients for a linear elliptic equation. I: Existence result. Zbl 1326.49005
Horsin, Thierry; Kogut, Peter I.
2015
Global controllability and stabilizability of Kawahara equation on a periodic domain. Zbl 1322.93022
Zhao, Xiangqing; Zhang, Bing-Yu
2015
Well-posedness and asymptotic stability for the Lamé system with infinite memories in a bounded domain. Zbl 1308.35003
Bchatnia, Ahmed; Guesmia, Aissa
2014
Stability estimates for a Robin coefficient in the two-dimensional Stokes system. Zbl 1302.35311
Boulakia, Muriel; Egloffe, Anne-Claire; Grandmont, Céline
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
2016
Analysis and optimal control of some quasilinear parabolic equations. Zbl 1416.35145
Casas, Eduardo; Chrysafinos, Konstantinos
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
2016
Multivariable boundary PI control and regulation of a fluid flow system. Zbl 1303.93095
Xu, Cheng-Zhong; Sallet, Gauthier
2014
Finite element approximation of sparse parabolic control problems. Zbl 1369.49006
Casas, Eduardo; Mateos, Mariano; Rösch, Arnd
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
2018
Relative controllability of linear systems of fractional order with delay. Zbl 1332.93061
Mur, Therese; Henriquez, Hernan R.
2015
Optimal control problem for exact synchronization of parabolic system. Zbl 1427.93042
Wang, Lijuan; Yan, Qishu
2019
A non-exponential discounting time-inconsistent stochastic optimal control problem for jump-diffusion. Zbl 1429.93413
Alia, Ishak
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
2012
Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries. Zbl 1448.93023
Allonsius, Damien; Boyer, Franck
2020
Partial null controllability of parabolic linear systems. Zbl 1347.93053
Khodja, Farid Ammar; Chouly, Franz; Duprez, Michel
2016
Asymptotic stability of wave equations coupled by velocities. Zbl 1345.93135
Cui, Yan; Wang, Zhiqiang
2016
An optimal consumption-investment model with constraint on consumption. Zbl 1414.91355
Xu, Zuo Quan; Yi, Fahuai
2016
Control and stabilization of $$2\times 2$$ hyperbolic systems on graphs. Zbl 1357.35212
Nicaise, Serge
2017
Numerical study of polynomial feedback laws for a bilinear control problem. Zbl 1418.49002
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
2018
A stochastic control problem and related free boundaries in finance. Zbl 1373.35343
Guan, Chonghu; Li, Xun; Xu, Zuo Quan; Yi, Fahuai
2017
Asymptotic stability of Webster-Lokshin equation. Zbl 1308.35032
Matignon, Denis; Prieur, Christophe
2014
Compact perturbations of controlled systems. Zbl 1405.93037
Duprez, Michel; Olive, Guillaume
2018
Fractional optimal control problems on a star graph: optimality system and numerical solution. Zbl 1460.34017
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
2021
Continuous-time portfolio selection under ambiguity. Zbl 1336.91066
Jin, Hanqing; Zhou, Xun Yu
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
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
2011
Application of the boundary control method to partial data Borg-Levinson inverse spectral problem. Zbl 1423.35450
Kian, Yavar; Morancey, Morgan; Oksanen, Lauri
2019
On the minimum time function around the origin. Zbl 1262.49042
Colombo, Giovanni; Nguyen, Khai T.
2013
The simplest semilinear parabolic equation of normal type. Zbl 1252.35158
Fursikov, Andrei
2012
A unified theory of maximum principle for continuous and discrete time optimal control problems. Zbl 1252.49033
Zhan, Zaidong; Chen, Shuping; Wei, Wei
2012
Accessibility conditions of MIMO nonlinear control systems on homogeneous time scales. Zbl 1352.34118
Bartosiewicz, Zbigniew; Kotta, Ülle; Tõnso, Maris; Wyrwas, Małgorzata
2016
A semidiscrete Galerkin scheme for backward stochastic parabolic differential equations. Zbl 1349.65493
Wang, Yanqing
2016
An infinite time horizon portfolio optimization model with delays. Zbl 1348.91259
Pang, Tao; Hussain, Azmat
2016
Carleman commutator approach in logarithmic convexity for parabolic equations. Zbl 1416.35132
Phung, Kim Dang
2018
Phantom tracking method, homogeneity and rapid stabilization. Zbl 1272.93094
Coron, Jean-Michel
2013
A relaxation result for state constrained inclusions in infinite dimension. Zbl 1348.34111
Frankowska, Helene; Marchini, Elsa Maria; Mazzola, Marco
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
2018
A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
2020
Uncertainty damping in kinetic traffic models by driver-assist controls. Zbl 1473.35392
Tosin, Andrea; Zanella, Mattia
2021
Optimal blowup/quenching time for controlled autonomous ordinary differential equations. Zbl 1322.49037
Lou, Hongwei; Wang, Weihan
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
2015
On the influence of the coupling on the dynamics of single-observed cascade systems of PDE’s. Zbl 1322.93023
Alabau-Boussouira, Fatiha
2015
Inverse problems for the fourth order Schrödinger equation on a finite domain. Zbl 1328.35327
Zheng, Chuang
2015
Numerical methods for dividend optimization using regime-switching jump-diffusion models. Zbl 1222.93237
Jin, Zhuo; Yin, George; Yang, Hailiang
2011
Exact controllability of a multilayer Rao-Nakra plate with free boundary conditions. Zbl 1231.93015
Hansen, Scott W.; Imanuvilov, Oleg Yu
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
2019
Controllability for a string with attached masses and Riesz bases for asymmetric spaces. Zbl 1429.93035
Avdonin, Sergei; Edward, Julian
2019
Optimal control and zero-sum games for Markov chains of mean-field type. Zbl 1427.60105
Choutri, Salah Eddine; Djehiche, Boualem; Tembine, Hamidou
2019
Model reduction for fractional elliptic problems using Kato’s formula. Zbl 07499503
Dinh, Huy; Antil, Harbir; Chen, Yanlai; Cherkaev, Elena; Narayan, Akil
2022
Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback. Zbl 07499505
Zhang, Christophe
2022
Stability analysis of infinite-dimensional event-triggered and self-triggered control systems with Lipschitz perturbations. Zbl 1485.93459
Wakaiki, Masashi; Sano, Hideki
2022
Fractional optimal control problems on a star graph: optimality system and numerical solution. Zbl 1460.34017
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
2021
Uncertainty damping in kinetic traffic models by driver-assist controls. Zbl 1473.35392
Tosin, Andrea; Zanella, Mattia
2021
Linear-quadratic-Gaussian mean-field-game with partial observation and common noise. Zbl 1471.91026
Bensoussan, Alain; Feng, Xinwei; Huang, Jianhui
2021
Mean-field stochastic linear-quadratic optimal control problems: weak closed-loop solvability. Zbl 1461.93553
Sun, Jingrui; Wang, Hanxiao
2021
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. Zbl 1462.49058
Grüne, Lars; Guglielmi, Roberto
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
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
2021
Approximate controllability of nonlinear parabolic PDEs in arbitrary space dimension. Zbl 1477.35097
Nersesyan, Vahagn
2021
Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems. Zbl 1483.35297
Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki
2021
Improved error estimates for optimal control of the Stokes problem with pointwise tracking in three dimensions. Zbl 1473.49033
Behringer, Niklas
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
2021
Extended backward stochastic Volterra integral equations and their applications to time-inconsistent stochastic recursive control problems. Zbl 1478.93732
Hamaguchi, Yushi
2021
Optimal dividend policy in an insurance company with contagious arrivals of claims. Zbl 1479.91314
Chen, Yiling; Bian, Baojun
2021
Optimal control of ODEs with state suprema. Zbl 1472.49048
Geiger, Tobias; Wachsmuth, Daniel; Wachsmuth, Gerd
2021
First order necessary conditions of optimality for the two dimensional tidal dynamics system. Zbl 1481.49007
Mohan, Manil T.
2021
Quantitative approximation properties for the fractional heat equation. Zbl 1442.35550
Rüland, Angkana; Salo, Mikko
2020
Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme. Zbl 1453.35032
Signori, Andrea
2020
Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries. Zbl 1448.93023
Allonsius, Damien; Boyer, Franck
2020
A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
2020
Free boundaries of credit rating migration in switching macro regions. Zbl 1441.35241
Wu, Yuan; Liang, Jin
2020
Optimal investment problem with delay under partial information. Zbl 1447.91166
Zhang, Shuaiqi; Xiong, Jie; Zhang, Xin
2020
Singular control of SPDEs with space-mean dynamics. Zbl 1459.60135
Agram, Nacira; Hilbert, Astrid; Øksendal, Bernt
2020
Minimal time of null controllability of two parabolic equations. Zbl 1442.93010
Ouaili, Lydia
2020
Optimality conditions in variational form for non-linear constrained stochastic control problems. Zbl 1452.90230
Pfeiffer, Laurent
2020
Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems. Zbl 1462.81103
Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario
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
2020
A Poincaré-Bendixson theorem for hybrid systems. Zbl 1442.34072
Clark, William; Bloch, Anthony; Colombo, Leonardo
2020
A direct method based on the Clenshaw-Curtis formula for fractional optimal control problems. Zbl 1439.49054
2020
Implicit parametrizations and applications in optimization and control. Zbl 1456.49008
Tiba, Dan
2020
Sparse optimal control for the heat equation with mixed control-state constraints. Zbl 1455.49013
Casas, Eduardo; Tröltzsch, Fredi
2020
Optimal periodic control for scalar dynamics under integral constraint on the input. Zbl 1455.49001
Bayen, Térence; Rapaport, Alain; Tani, Fatima-Zahra
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
2020
The Kato smoothing effect for the nonlinear regularized Schrödinger equation on compact manifolds. Zbl 1464.35307
Aloui, Lassaad; El Khal El Taief, Imen
2020
Maximal discrete sparsity in parabolic optimal control with measures. Zbl 1462.49011
Herberg, Evelyn; Hinze, Michael; Schumacher, Henrik
2020
Optimal control of the coefficient for the regional fractional $$p$$-Laplace equation: approximation and convergence. Zbl 1423.35388
2019
Characterizations of equilibrium controls in time inconsistent mean-field stochastic linear quadratic problems. I. Zbl 1426.49036
Wang, Tianxiao
2019
Optimal control problem for exact synchronization of parabolic system. Zbl 1427.93042
Wang, Lijuan; Yan, Qishu
2019
A non-exponential discounting time-inconsistent stochastic optimal control problem for jump-diffusion. Zbl 1429.93413
Alia, Ishak
2019
Application of the boundary control method to partial data Borg-Levinson inverse spectral problem. Zbl 1423.35450
Kian, Yavar; Morancey, Morgan; Oksanen, Lauri
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
2019
Controllability for a string with attached masses and Riesz bases for asymmetric spaces. Zbl 1429.93035
Avdonin, Sergei; Edward, Julian
2019
Optimal control and zero-sum games for Markov chains of mean-field type. Zbl 1427.60105
Choutri, Salah Eddine; Djehiche, Boualem; Tembine, Hamidou
2019
Insensitizing controls for a semilinear parabolic equation: a numerical approach. Zbl 1423.35144
Boyer, Franck; Hernández-Santamaría, Víctor; De Teresa, Luz
2019
On algebraic condition for null controllability of some coupled degenerate systems. Zbl 1423.35150
El Mustapha, Ait Ben Hassi; Mohamed, Fadili; Maniar, Lahcen
2019
Stabilization of multidimensional wave equation with locally boundary fractional dissipation law under geometric conditions. Zbl 1426.35025
2019
Approximation of controls for linear wave equations: a first order mixed formulation. Zbl 1443.93034
Montaner, Santiago; Münch, Arnaud
2019
Local null controllability of a rigid body moving into a Boussinesq flow. Zbl 1437.35547
Roy, Arnab; Takahashi, Takéo
2019
A fully nonlinear free boundary problem arising from optimal dividend and risk control model. Zbl 1427.93276
Guan, Chonghu; Yi, Fahuai; Chen, Xiaoshan
2019
Discretized feedback control for systems of linearized hyperbolic balance laws. Zbl 1429.37056
Gerster, Stephan; Herty, Michael
2019
Decay rates for stabilization of linear continuous-time systems with random switching. Zbl 1425.93228
Colonius, Fritz; Mazanti, Guilherme
2019
Extension of the strong law of large numbers for capacities. Zbl 1448.60068
Chen, Zengjing; Huang, Weihuan; Wu, Panyu
2019
Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential. Zbl 1423.35130
Biccari, Umberto
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
2019
Backward uniqueness results for some parabolic equations in an infinite rod. Zbl 1442.35178
Dardé, Jérémi; Ervedoza, Sylvain
2019
On a logarithmic stability estimate for an inverse heat conduction problem. Zbl 1428.65031
Jbalia, Aymen
2019
Randomized algorithms for stabilizing switching signals. Zbl 1425.93139
Balachandran, Niranjan; Kundu, Atreyee; Chatterjee, Debasish
2019
Strong stabilization of (almost) impedance passive systems by static output feedback. Zbl 1441.93219
Curtain, Ruth F.; Weiss, George
2019
On the null controllability of the Lotka-McKendrick system. Zbl 1441.92038
Maity, Debayan
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
2019
Optimal control of a non-smooth semilinear elliptic equation. Zbl 1407.49026
Christof, Constantin; Meyer, Christian; Walther, Stephan; Clason, Christian
2018
Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes. Zbl 1407.65277
Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd
2018
Second order optimality conditions for optimal control of quasilinear parabolic equations. Zbl 1405.35095
Bonifacius, Lucas; Neitzel, Ira
2018
Controllability under positivity constraints of semilinear heat equations. Zbl 1416.35142
Pighin, Dario; Zuazua, Enrique
2018
Linear quadratic mean-field-game of backward stochastic differential systems. Zbl 1416.93198
Du, Kai; Huang, Jianhui; Wu, Zhen
2018
Analysis and optimal control of some quasilinear parabolic equations. Zbl 1416.35145
Casas, Eduardo; Chrysafinos, Konstantinos
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
2018
Numerical study of polynomial feedback laws for a bilinear control problem. Zbl 1418.49002
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
2018
Compact perturbations of controlled systems. Zbl 1405.93037
Duprez, Michel; Olive, Guillaume
2018
Carleman commutator approach in logarithmic convexity for parabolic equations. Zbl 1416.35132
Phung, Kim Dang
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
2018
Necessary conditions for infinite horizon optimal control problems with state constraints. Zbl 1422.49022
Basco, Vincenzo; Cannarsa, Piermarco; Frankowska, Hélène
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
2018
Time-inconsistent recursive zero-sum stochastic differential games. Zbl 1418.49040
Wei, Qingmeng; Yu, Zhiyong
2018
Second-order necessary conditions for optimal control of semilinear elliptic equations with leading term containing controls. Zbl 1407.49028
Lou, Hongwei; Yong, Jiongmin
2018
Tikhonov regularization of optimal control problems governed by semi-linear partial differential equations. Zbl 1407.49031
Pörner, Frank; Wachsmuth, Daniel
2018
Operator-valued backward stochastic Lyapunov equations in infinite dimensions, and its application. Zbl 1405.93233
Lü, Qi; Zhang, Xu
2018
Controllability and observability of some coupled stochastic parabolic systems. Zbl 1417.93073
Liu, Lingyang; Liu, Xu
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.
2018
Error analysis for global minima of semilinear optimal control problems. Zbl 07006608
2018
Asymptotic behavior of a Schrödinger equation under a constrained boundary feedback. Zbl 1406.81024
Cui, Haoyue; Liu, Dongyi; Xu, Genqi
2018
Value function for regional control problems via dynamic programming and Pontryagin maximum principle. Zbl 1418.49022
Barles, Guy; Briani, Ariela; Trélat, Emmanuel
2018
Null controllability of the Lotka-McKendrick system with spatial diffusion. Zbl 1417.92131
Hegoburu, Nicolas; Tucsnak, Marius
2018
Quadratic BSDEs with mean reflection. Zbl 1419.60043
Hibon, Hélène; Hu, Ying; Lin, Yiqing; Luo, Peng; Wang, Falei
2018
Weak stability of a laminated beam. Zbl 1421.35023
Li, Yanfang; Liu, Zhuangyi; Wang, Yang
2018
Recurrence for switching diffusion with past dependent switching and countable state space. Zbl 1419.60056
Nguyen, Dang H.; Yin, George
2018
Quantitative unique continuation for the heat equation with Coulomb potentials. Zbl 1418.35054
Zhang, Can
2018
Optimal voltage control of non-stationary Eddy current problems. Zbl 1406.35384
Tröltzsch, Fredi; Valli, Alberto
2018
Frequency-sparse optimal quantum control. Zbl 1407.49006
Friesecke, Gero; Henneke, Felix; Kunisch, Karl
2018
Water artificial circulation for eutrophication control. Zbl 1407.49029
Martínez, Aurea; Fernández, Francisco J.; Alvarez-Vázquez, Lino J.
2018
Existence for nonlinear finite dimensional stochastic differential equations of subgradient type. Zbl 1419.60048
Barbu, Viorel
2018
Weak laws of large numbers for sublinear expectation. Zbl 1419.60004
Chen, Zengjing; Liu, Qingyang; Zong, Gaofeng
2018
Inverse S-shaped probability weighting and its impact on investment. Zbl 1418.91475
He, Xue Dong; Kouwenberg, Roy; Zhou, Xun Yu
2018
Optimal control problems for some ordinary differential equations with behavior of blowup or quenching. Zbl 1419.49005
Lin, Ping; Wang, Weihan
2018
On the switching behavior of sparse optimal controls for the one-dimensional heat equation. Zbl 1407.49032
Tröltzsch, Fredi; Wachsmuth, Daniel
2018
A second-order stochastic maximum principle for generalized mean-field singular control problem. Zbl 1405.93232
Guo, Hancheng; Xiong, Jie
2018
The cost of controlling weakly degenerate parabolic equations by boundary controls. Zbl 1360.35104
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
2017
Exact controllability of linear stochastic differential equations and related problems. Zbl 1360.93109
Wang, Yanqing; Yang, Donghui; Yong, Jiongmin; Yu, Zhiyong
2017
...and 142 more Documents
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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 ...and 1,399 more Authors
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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 ...and 131 more Journals
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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) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Approximations and expansions (41-XX) 2 General topology (54-XX) 2 Geophysics (86-XX) 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)