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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/mcrf
Comments: Indexed cover-to-cover; Published electronic only as of 3 (2013). Print ISSN until then: 2156-8472
Documents Indexed: 376 Publications (since 2011)
References Indexed: 310 Publications with 9,054 References.
all top 5

Authors

9 Yong, Jiongmin
6 Casas, Eduardo
6 Lou, Hongwei
5 Grüne, Lars
5 Kunisch, Karl
5 Lü, Qi
5 Maniar, Lahcen
5 Rösch, Arnd
5 Trélat, Emmanuel
5 Tröltzsch, Fredi
5 Yin, George Gang
5 Zhang, Qing
5 Zhang, Xu
5 Zuazua, Enrique
4 Cristofol, Michel
4 Prieur, Christophe
4 Vexler, Boris
4 Wu, Zhen
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 Shi, Jingtao
3 Sugny, Dominique
3 Takahashi, Takéo
3 Tie, Jingzhi
3 Tucsnak, Marius
3 Valein, Julie
3 Wachsmuth, Daniel
3 Wang, Gengsheng
3 Wehbe, Ali
3 Xiong, Jie
3 Yi, Fahuai
3 Zhang, Bingyu
3 Zhang, Jian
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 Cerpa, Eduardo
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 Luan, Shu
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
...and 520 more Authors
all top 5

Fields

225 Systems theory; control (93-XX)
192 Partial differential equations (35-XX)
145 Calculus of variations and optimal control; optimization (49-XX)
63 Probability theory and stochastic processes (60-XX)
45 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
33 Ordinary differential equations (34-XX)
33 Numerical analysis (65-XX)
17 Mechanics of deformable solids (74-XX)
16 Operations research, mathematical programming (90-XX)
15 Operator theory (47-XX)
14 Dynamical systems and ergodic theory (37-XX)
14 Fluid mechanics (76-XX)
14 Biology and other natural sciences (92-XX)
8 Differential geometry (53-XX)
7 General and overarching topics; collections (00-XX)
7 Real functions (26-XX)
6 Mechanics of particles and systems (70-XX)
6 Quantum theory (81-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Integral equations (45-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 Optics, electromagnetic theory (78-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 Statistical mechanics, structure of matter (82-XX)

Publications by Year

Citations contained in zbMATH Open

272 Publications have been cited 1,733 times in 1,437 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
79
2011
Time-inconsistent optimal control problems and the equilibrium HJB equation. Zbl 1251.93144
Yong, Jiongmin
68
2012
Inverse source problem with a final overdetermination for a fractional diffusion equation. Zbl 1241.35220
Sakamoto, Kenichi; Yamamoto, Masahiro
56
2011
Sparse stabilization and optimal control of the Cucker-Smale model. Zbl 1275.49003
Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel
42
2013
Strict Lyapunov functions for semilinear parabolic partial differential equations. Zbl 1231.93097
Mazenc, Frédéric; Prieur, Christophe
42
2011
Control of a Korteweg-de Vries equation: a tutorial. Zbl 1281.93018
Cerpa, Eduardo
39
2014
A linear-quadratic optimal control problem for mean-field stochastic differential equations in infinite horizon. Zbl 1326.49051
Huang, Jianhui; Li, Xun; Yong, Jiongmin
36
2015
Optimal control of a non-smooth semilinear elliptic equation. Zbl 1407.49026
Christof, Constantin; Meyer, Christian; Walther, Stephan; Clason, Christian
33
2018
Determination of time dependent factors of coefficients in fractional diffusion equations. Zbl 1348.35317
Fujishiro, Kenichi; Kian, Yavar
32
2016
Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions. Zbl 1370.37157
Mironchenko, Andrii; Ito, Hiroshi
27
2016
A deterministic linear quadratic time-inconsistent optimal control problem. Zbl 1222.49043
Yong, Jiongmin
26
2011
The cost of controlling weakly degenerate parabolic equations by boundary controls. Zbl 1360.35104
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
26
2017
Exact controllability of scalar conservation laws with strict convex flux. Zbl 1310.35232
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
24
2014
Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131
Casas, Eduardo; Vexler, Boris; Zuazua, Enrique
21
2015
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
21
2012
Optimal sampled-data control, and generalizations on time scales. Zbl 1335.49031
Bourdin, Loïc; Trélat, Emmanuel
19
2016
Optimal control of the coefficient for the regional fractional \(p\)-Laplace equation: approximation and convergence. Zbl 1423.35388
Antil, Harbir; Warma, Mahamadi
19
2019
Optimal control problems of forward-backward stochastic Volterra integral equations. Zbl 1337.49044
Shi, Yufeng; Wang, Tianxiao; Yong, Jiongmin
18
2015
Energy decay estimates for some weakly coupled Euler-Bernoulli and wave equations with indirect damping mechanisms. Zbl 1246.93093
Tebou, Louis
17
2012
Approximate controllability conditions for some linear 1D parabolic systems with space-dependent coefficients. Zbl 1303.93036
Boyer, Franck; Olive, Guillaume
16
2014
Stability of the determination of a time-dependent coefficient in parabolic equations. Zbl 1259.35221
Choulli, Mourad; Kian, Yavar
16
2013
Control of a network of magnetic ellipsoidal samples. Zbl 1231.93013
Agarwal, Shruti; Carbou, Gilles; Labbé, Stéphane; Prieur, Christophe
16
2011
Quantitative approximation properties for the fractional heat equation. Zbl 1442.35550
Rüland, Angkana; Salo, Mikko
15
2020
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
15
2011
Regularity results for a time-optimal control problem in the space of probability measures. Zbl 1365.49024
Cavagnari, Giulia
15
2017
Second order optimality conditions for optimal control of quasilinear parabolic equations. Zbl 1405.35095
Bonifacius, Lucas; Neitzel, Ira
15
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
Finite-time stabilization of a network of strings. Zbl 1332.93297
Alabau-Boussouira, Fatiha; Perrollaz, Vincent; Rosier, Lionel
14
2015
Ricci curvatures in Carnot groups. Zbl 1275.53034
Rifford, Ludovic
14
2013
Observability of heat processes by transmutation without geometric restrictions. Zbl 1244.35028
Ervedoza, Sylvain; Zuazua, Enrique
14
2011
Local controllability of 1D Schrödinger equations with bilinear control and minimal time. Zbl 1281.93016
Beauchard, Karine; Morancey, Morgan
13
2014
Exact controllability of linear stochastic differential equations and related problems. Zbl 1360.93109
Wang, Yanqing; Yang, Donghui; Yong, Jiongmin; Yu, Zhiyong
13
2017
Indirect stabilization of weakly coupled systems with hybrid boundary conditions. Zbl 1241.93038
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Guglielmi, Roberto
13
2011
Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme. Zbl 1453.35032
Signori, Andrea
12
2020
Transposition method for backward stochastic evolution equations revisited, and its application. Zbl 1316.93126
Lü, Qi; Zhang, Xu
12
2015
Controllability under positivity constraints of semilinear heat equations. Zbl 1416.35142
Pighin, Dario; Zuazua, Enrique
12
2018
Internal control of the Schrödinger equation. Zbl 1281.93022
Laurent, Camille
12
2014
Internal stabilization of a Mindlin-Timoshenko model by interior feedbacks. Zbl 1234.35271
Nicaise, Serge
11
2011
Local controllability of the \(N\)-dimensional Boussinesq system with \(N - 1\) scalar controls in an arbitrary control domain. Zbl 1259.35214
Carreño, Nicolás
11
2012
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
Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
10
2016
Counting function for interior transmission eigenvalues. Zbl 1332.35242
Robbiano, Luc
10
2016
Well-posedness and asymptotic stability for the Lamé system with infinite memories in a bounded domain. Zbl 1308.35003
Bchatnia, Ahmed; Guesmia, Aissa
10
2014
Finite element approximation of sparse parabolic control problems. Zbl 1369.49006
Casas, Eduardo; Mateos, Mariano; Rösch, Arnd
10
2017
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
Linear quadratic mean-field-game of backward stochastic differential systems. Zbl 1416.93198
Du, Kai; Huang, Jianhui; Wu, Zhen
10
2018
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
Global controllability and stabilizability of Kawahara equation on a periodic domain. Zbl 1322.93022
Zhao, Xiangqing; Zhang, Bing-Yu
10
2015
Time optimal control problems for some non-smooth systems. Zbl 1307.49018
Lou, Hongwei; Wen, Junjie; Xu, Yashan
9
2014
Asymptotic stability of Webster-Lokshin equation. Zbl 1308.35032
Matignon, Denis; Prieur, Christophe
9
2014
Multivariable boundary PI control and regulation of a fluid flow system. Zbl 1303.93095
Xu, Cheng-Zhong; Sallet, Gauthier
9
2014
Characterizations of equilibrium controls in time inconsistent mean-field stochastic linear quadratic problems. I. Zbl 1426.49036
Wang, Tianxiao
9
2019
Analysis and optimal control of some quasilinear parabolic equations. Zbl 1416.35145
Casas, Eduardo; Chrysafinos, Konstantinos
9
2018
Approximate controllability of semilinear reaction diffusion equations. Zbl 1250.93032
Leiva, Hugo; Merentes, Nelson; Sánchez, José L.
9
2012
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
9
2012
Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction. Zbl 1368.76010
Gugat, Martin; Dick, Markus
9
2011
Time-inconsistent optimal control problem with random coefficients and stochastic equilibrium HJB equation. Zbl 1316.93127
Wang, Haiyang; Wu, Zhen
8
2015
Optimal control problem for exact synchronization of parabolic system. Zbl 1427.93042
Wang, Lijuan; Yan, Qishu
8
2019
Carleman commutator approach in logarithmic convexity for parabolic equations. Zbl 1416.35132
Phung, Kim Dang
8
2018
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
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. Zbl 1462.49058
Grüne, Lars; Guglielmi, Roberto
8
2021
Stability estimates for a Robin coefficient in the two-dimensional Stokes system. Zbl 1302.35311
Boulakia, Muriel; Egloffe, Anne-Claire; Grandmont, Céline
8
2013
An optimal consumption-investment model with constraint on consumption. Zbl 1414.91355
Xu, Zuo Quan; Yi, Fahuai
8
2016
Control and stabilization of \(2\times 2\) hyperbolic systems on graphs. Zbl 1357.35212
Nicaise, Serge
8
2017
Compact perturbations of controlled systems. Zbl 1405.93037
Duprez, Michel; Olive, Guillaume
8
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
Uncertainty damping in kinetic traffic models by driver-assist controls. Zbl 1473.35392
Tosin, Andrea; Zanella, Mattia
7
2021
A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
7
2020
Relative controllability of linear systems of fractional order with delay. Zbl 1332.93061
Mur, Therese; Henriquez, Hernan R.
7
2015
Fractional optimal control problems on a star graph: optimality system and numerical solution. Zbl 1460.34017
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
7
2021
Partial null controllability of parabolic linear systems. Zbl 1347.93053
Khodja, Farid Ammar; Chouly, Franz; Duprez, Michel
7
2016
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
An infinite time horizon portfolio optimization model with delays. Zbl 1348.91259
Pang, Tao; Hussain, Azmat
7
2016
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
A relaxation result for state constrained inclusions in infinite dimension. Zbl 1348.34111
Frankowska, Helene; Marchini, Elsa Maria; Mazzola, Marco
6
2016
A stochastic control problem and related free boundaries in finance. Zbl 1373.35343
Guan, Chonghu; Li, Xun; Xu, Zuo Quan; Yi, Fahuai
6
2017
Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries. Zbl 1448.93023
Allonsius, Damien; Boyer, Franck
6
2020
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
6
2019
Numerical study of polynomial feedback laws for a bilinear control problem. Zbl 1418.49002
Breiten, Tobias; Kunisch, Karl; Pfeiffer, Laurent
6
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
6
2018
The simplest semilinear parabolic equation of normal type. Zbl 1252.35158
Fursikov, Andrei
6
2012
Phantom tracking method, homogeneity and rapid stabilization. Zbl 1272.93094
Coron, Jean-Michel
6
2013
Asymptotic stability of wave equations coupled by velocities. Zbl 1345.93135
Cui, Yan; Wang, Zhiqiang
6
2016
Operator-valued backward stochastic Lyapunov equations in infinite dimensions, and its application. Zbl 1405.93233
Lü, Qi; Zhang, Xu
6
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
6
2018
Controllability of fractional dynamical systems: a functional analytic approach. Zbl 1373.93064
Govindaraj, Venkatesan; George, Raju K.
5
2017
Continuous-time portfolio selection under ambiguity. Zbl 1336.91066
Jin, Hanqing; Zhou, Xun Yu
5
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
5
2015
Local null controllability of a rigid body moving into a Boussinesq flow. Zbl 1437.35547
Roy, Arnab; Takahashi, Takéo
5
2019
Controllability for a string with attached masses and Riesz bases for asymmetric spaces. Zbl 1429.93035
Avdonin, Sergei; Edward, Julian
5
2019
Insensitizing controls for a semilinear parabolic equation: a numerical approach. Zbl 1423.35144
Boyer, Franck; Hernández-Santamaría, Víctor; De Teresa, Luz
5
2019
Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential. Zbl 1423.35130
Biccari, Umberto
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
5
2019
Necessary conditions for infinite horizon optimal control problems with state constraints. Zbl 1422.49022
Basco, Vincenzo; Cannarsa, Piermarco; Frankowska, Hélène
5
2018
Quadratic BSDEs with mean reflection. Zbl 1419.60043
Hibon, Hélène; Hu, Ying; Lin, Yiqing; Luo, Peng; Wang, Falei
5
2018
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
On the influence of the coupling on the dynamics of single-observed cascade systems of PDE’s. Zbl 1322.93023
Alabau-Boussouira, Fatiha
5
2015
Inverse problems for the fourth order Schrödinger equation on a finite domain. Zbl 1328.35327
Zheng, Chuang
5
2015
Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback. Zbl 1491.35388
Zhang, Christophe
4
2022
Existence and cost of boundary controls for a degenerate/singular parabolic equation. Zbl 1486.35276
Biccari, U.; Hernández-Santamaría, V.; Vancostenoble, J.
3
2022
Learning nonlocal regularization operators. Zbl 1485.49010
Holler, Gernot; Kunisch, Karl
2
2022
Model reduction for fractional elliptic problems using Kato’s formula. Zbl 1486.35421
Dinh, Huy; Antil, Harbir; Chen, Yanlai; Cherkaev, Elena; Narayan, Akil
2
2022
Optimal control of the transmission rate in compartmental epidemics. Zbl 1486.92224
Freddi, Lorenzo
2
2022
On the nonuniqueness and instability of solutions of tracking-type optimal control problems. Zbl 1485.49013
Christof, Constantin; Hafemeyer, Dominik
2
2022
A nonlinear version of Halanay’s inequality for the uniform convergence to the origin. Zbl 1498.93328
Pepe, Pierdomenico
2
2022
A Gronwall lemma for functions of two variables and its application to partial differential equations of fractional order. Zbl 07499507
Idczak, Dariusz
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
Linear-quadratic mean-field type Stackelberg differential games for stochastic jump-diffusion systems. Zbl 1484.91095
Moon, Jun
1
2022
Maximum principle for discrete-time stochastic optimal control problem and stochastic game. Zbl 1485.93641
Wu, Zhen; Zhang, Feng
1
2022
Stochastic optimal control – a concise introduction. Zbl 1508.93334
Yong, Jiongmin
1
2022
Convergence of coprime factor perturbations for robust stabilization of Oseen systems. Zbl 1498.93619
Heiland, Jan
1
2022
Asymptotic gain results for attractors of semilinear systems. Zbl 1505.37089
Schmid, Jochen; Kapustyan, Oleksiy; Dashkovskiy, Sergey
1
2022
Computation of open-loop inputs for uniformly ensemble controllable systems. Zbl 1498.93053
Schönlein, Michael
1
2022
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. Zbl 1462.49058
Grüne, Lars; Guglielmi, Roberto
8
2021
Uncertainty damping in kinetic traffic models by driver-assist controls. Zbl 1473.35392
Tosin, Andrea; Zanella, Mattia
7
2021
Fractional optimal control problems on a star graph: optimality system and numerical solution. Zbl 1460.34017
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
7
2021
Extended backward stochastic Volterra integral equations and their applications to time-inconsistent stochastic recursive control problems. Zbl 1478.93732
Hamaguchi, Yushi
5
2021
Strict dissipativity for discrete time discounted optimal control problems. Zbl 1481.49009
Grüne, Lars; Müller, Matthias A.; Kellett, Christopher M.; Weller, Steven R.
3
2021
Linear-quadratic-Gaussian mean-field-game with partial observation and common noise. Zbl 1471.91026
Bensoussan, Alain; Feng, Xinwei; Huang, Jianhui
3
2021
Approximate controllability of nonlinear parabolic PDEs in arbitrary space dimension. Zbl 1477.35097
Nersesyan, Vahagn
3
2021
Optimal control of a non-smooth quasilinear elliptic equation. Zbl 1472.49044
Clason, Christian; Nhu, Vu Huu; Rösch, Arnd
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
First order necessary conditions of optimality for the two dimensional tidal dynamics system. Zbl 1481.49007
Mohan, Manil T.
2
2021
Mean-field stochastic linear-quadratic optimal control problems: weak closed-loop solvability. Zbl 1461.93553
Sun, Jingrui; Wang, Hanxiao
2
2021
Finite-dimensional controllers for robust regulation of boundary control systems. Zbl 1461.93397
Phan, Duy; Paunonen, Lassi
2
2021
Controllability problems for the heat equation on a half-axis with a bounded control in the Neumann boundary condition. Zbl 1470.93024
Fardigola, Larissa; Khalina, Kateryna
2
2021
Optimal control of ODEs with state suprema. Zbl 1472.49048
Geiger, Tobias; Wachsmuth, Daniel; Wachsmuth, Gerd
1
2021
External polyhedral estimates of reachable sets of discrete-time systems with integral bounds on additive terms. Zbl 1471.93027
Kostousova, Elena K.
1
2021
Approximate controllability of a Sobolev type impulsive functional evolution system in Banach spaces. Zbl 1478.93044
Arora, Sumit; Mohan, Manil T.; Dabas, Jaydev
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 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
Quantitative approximation properties for the fractional heat equation. Zbl 1442.35550
Rüland, Angkana; Salo, Mikko
15
2020
Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme. Zbl 1453.35032
Signori, Andrea
12
2020
A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
7
2020
Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries. Zbl 1448.93023
Allonsius, Damien; Boyer, Franck
6
2020
Optimality conditions in variational form for non-linear constrained stochastic control problems. Zbl 1452.90230
Pfeiffer, Laurent
3
2020
Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems. Zbl 1462.81103
Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario
3
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
Optimal periodic control for scalar dynamics under integral constraint on the input. Zbl 1455.49001
Bayen, Térence; Rapaport, Alain; Tani, Fatima-Zahra
2
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
2
2020
A Poincaré-Bendixson theorem for hybrid systems. Zbl 1442.34072
Clark, William; Bloch, Anthony; Colombo, Leonardo
2
2020
Minimal time of null controllability of two parabolic equations. Zbl 1442.93010
Ouaili, Lydia
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
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
State-constrained semilinear elliptic optimization problems with unrestricted sparse controls. Zbl 1455.35099
Casas, Eduardo; Tröltzsch, Fredi
1
2020
A convergent hierarchy of non-linear eigenproblems to compute the joint spectral radius of nonnegative matrices. Zbl 1476.65080
Gaubert, Stéphane; Stott, Nikolas
1
2020
Regional gradient controllability of ultra-slow diffusions involving the Hadamard-Caputo time fractional derivative. Zbl 1441.93022
Cai, Ruiyang; Ge, Fudong; Chen, Yangquan; Kou, Chunhai
1
2020
Controllability properties of degenerate pseudo-parabolic boundary control problems. Zbl 1441.93042
Zhang, Mu-Ming; Xu, Tian-Yuan; Yin, Jing-Xue
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
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
Asymptotic stabilization of continuous-time periodic stochastic systems by feedback control based on periodic discrete-time observations. Zbl 1467.93323
Dong, Ran; Mao, Xuerong
1
2020
Maximal discrete sparsity in parabolic optimal control with measures. Zbl 1462.49011
Herberg, Evelyn; Hinze, Michael; Schumacher, Henrik
1
2020
Stochastic impulse control problem with state and time dependent cost functions. Zbl 1461.93541
El Asri, Brahim; Mazid, Sehail
1
2020
Optimal control of the coefficient for the regional fractional \(p\)-Laplace equation: approximation and convergence. Zbl 1423.35388
Antil, Harbir; Warma, Mahamadi
19
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
8
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
6
2019
Local null controllability of a rigid body moving into a Boussinesq flow. Zbl 1437.35547
Roy, Arnab; Takahashi, Takéo
5
2019
Controllability for a string with attached masses and Riesz bases for asymmetric spaces. Zbl 1429.93035
Avdonin, Sergei; Edward, Julian
5
2019
Insensitizing controls for a semilinear parabolic equation: a numerical approach. Zbl 1423.35144
Boyer, Franck; Hernández-Santamaría, Víctor; De Teresa, Luz
5
2019
Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential. Zbl 1423.35130
Biccari, Umberto
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
5
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
Extension of the strong law of large numbers for capacities. Zbl 1448.60068
Chen, Zengjing; Huang, Weihuan; Wu, Panyu
4
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
3
2019
Approximation of controls for linear wave equations: a first order mixed formulation. Zbl 1443.93034
Montaner, Santiago; Münch, Arnaud
3
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
Backward uniqueness results for some parabolic equations in an infinite rod. Zbl 1442.35178
Dardé, Jérémi; Ervedoza, Sylvain
2
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
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
Randomized algorithms for stabilizing switching signals. Zbl 1425.93139
Balachandran, Niranjan; Kundu, Atreyee; Chatterjee, Debasish
1
2019
On a logarithmic stability estimate for an inverse heat conduction problem. Zbl 1428.65031
Jbalia, Aymen
1
2019
Optimal control of a non-smooth semilinear elliptic equation. Zbl 1407.49026
Christof, Constantin; Meyer, Christian; Walther, Stephan; Clason, Christian
33
2018
Second order optimality conditions for optimal control of quasilinear parabolic equations. Zbl 1405.35095
Bonifacius, Lucas; Neitzel, Ira
15
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
Controllability under positivity constraints of semilinear heat equations. Zbl 1416.35142
Pighin, Dario; Zuazua, Enrique
12
2018
Linear quadratic mean-field-game of backward stochastic differential systems. Zbl 1416.93198
Du, Kai; Huang, Jianhui; Wu, Zhen
10
2018
Analysis and optimal control of some quasilinear parabolic equations. Zbl 1416.35145
Casas, Eduardo; Chrysafinos, Konstantinos
9
2018
Carleman commutator approach in logarithmic convexity for parabolic equations. Zbl 1416.35132
Phung, Kim Dang
8
2018
Compact perturbations of controlled systems. Zbl 1405.93037
Duprez, Michel; Olive, Guillaume
8
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
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
6
2018
Operator-valued backward stochastic Lyapunov equations in infinite dimensions, and its application. Zbl 1405.93233
Lü, Qi; Zhang, Xu
6
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
6
2018
Necessary conditions for infinite horizon optimal control problems with state constraints. Zbl 1422.49022
Basco, Vincenzo; Cannarsa, Piermarco; Frankowska, Hélène
5
2018
...and 172 more Documents
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Cited by 1,732 Authors

24 Zuazua, Enrique
22 Kian, Yavar
18 Trélat, Emmanuel
18 Yong, Jiongmin
17 Kunisch, Karl
17 Wang, Tianxiao
16 Yamamoto, Masahiro
14 Casas, Eduardo
14 Coron, Jean-Michel
13 Fernández-Cara, Enrique
13 Li, Xun
13 Prieur, Christophe
12 Cannarsa, Piermarco
11 Dwivedi, Sharad
11 Gugat, Martin
11 Lissy, Pierre
11 Sun, Jingrui
10 Cerpa, Eduardo
10 Krstić, Miroslav
10 Mironchenko, Andrii
10 Münch, Arnaud
10 Piccoli, Benedetto
10 Signori, Andrea
9 Alabau-Boussouira, Fatiha
9 Choulli, Mourad
9 Ghoshal, Shyam Sundar
9 Hernández-Santamaría, Víctor
9 Le Balc’h, Kévin
9 Marigonda, Antonio
9 Mateos, Mariano
9 Wang, Gengsheng
9 Wang, Hanxiao
9 Wei, Jiaqin
9 Wei, Ting
8 Antil, Harbir
8 Boyer, Franck
8 Chen, Mo
8 Colli, Pierluigi
8 de Teresa, Luz
8 Dubey, Shruti A.
8 Ervedoza, Sylvain
8 Frankowska, Hélène
8 Herty, Michael Matthias
8 Li, Tatsien
8 Lü, Qi
8 Nicaise, Serge
8 Vexler, Boris
8 Yu, Zhiyong
7 Ammar-Khodja, Farid
7 Carreño, Nicolás
7 Cavagnari, Giulia
7 Christof, Constantin
7 González-Burgos, Manuel
7 Hayat, Amaury
7 Karafyllis, Iasson
7 Léautaud, Matthieu
7 Leugering, Günter
7 Malinowska, Agnieszka Barbara
7 Martinez, Patrick
7 Oksanen, Lauri
7 Pfeiffer, Laurent
7 Rao, Bopeng
7 Rodrigues, Sérgio S.
7 Rosier, Lionel
7 Vancostenoble, Judith
7 Wu, Zhen
7 Xiang, Shengquan
7 Xiong, Jie
6 Albi, Giacomo
6 Ammari, Kais
6 Benabdallah, Assia
6 Bonnard, Bernard
6 Bourdin, Loïc
6 Capistrano-Filho, Roberto A.
6 Dashkovskiy, Sergey N.
6 Duprez, Michel
6 Fornasier, Massimo
6 Guan, Chonghu
6 Hu, Guanghui
6 Jin, Zhuo
6 Kamocki, Rafal
6 Kogut, Peter I.
6 Liu, Yikan
6 Marx, Swann
6 Odzijewicz, Tatiana
6 Olive, Guillaume
6 Rizzi, Luca
6 Rocca, Elisabetta
6 Rossi, Francesco
6 Rüland, Angkana
6 Takahashi, Takéo
6 Tatar, Salih
6 Trautmann, Philip
6 Tröltzsch, Fredi
6 Wang, Lijuan
6 Wen, Jiaqiang
6 Xu, Gen-Qi
6 Zanella, Mattia
6 Zhang, Bingyu
6 Zhang, Xu
...and 1,632 more Authors
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Cited in 255 Journals

123 SIAM Journal on Control and Optimization
85 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
85 Mathematical Control and Related Fields
47 Automatica
46 Journal of Mathematical Analysis and Applications
45 Journal of Differential Equations
41 Systems & Control Letters
32 Applied Mathematics and Optimization
30 MCSS. Mathematics of Control, Signals, and Systems
24 Journal de Mathématiques Pures et Appliquées. Neuvième Série
21 Evolution Equations and Control Theory
20 Inverse Problems
18 Discrete and Continuous Dynamical Systems. Series B
17 International Journal of Control
17 SIAM Journal on Mathematical Analysis
16 Applicable Analysis
16 Journal of Computational and Applied Mathematics
16 Acta Applicandae Mathematicae
15 Computers & Mathematics with Applications
15 Journal of Optimization Theory and Applications
14 Inverse Problems and Imaging
13 Journal of Evolution Equations
13 Discrete and Continuous Dynamical Systems. Series S
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Journal of Scientific Computing
11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Computational Optimization and Applications
11 Networks and Heterogeneous Media
10 Journal of the Franklin Institute
10 Mathematical Problems in Engineering
10 Journal of Dynamical and Control Systems
9 Journal of Inverse and Ill-Posed Problems
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Applied Mathematics and Computation
8 Journal of Functional Analysis
8 NoDEA. Nonlinear Differential Equations and Applications
8 Vietnam Journal of Mathematics
7 Chinese Annals of Mathematics. Series B
7 Discrete and Continuous Dynamical Systems
7 Fractional Calculus & Applied Analysis
7 Advances in Difference Equations
7 Probability, Uncertainty and Quantitative Risk
6 Archive for Rational Mechanics and Analysis
6 Chaos, Solitons and Fractals
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 Communications on Pure and Applied Analysis
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Analysis & PDE
5 Statistics & Probability Letters
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Applied Numerical Mathematics
5 SIAM Journal on Optimization
5 SIAM Journal on Scientific Computing
5 European Journal of Control
5 Abstract and Applied Analysis
5 Journal of Systems Science and Complexity
5 Boundary Value Problems
5 Journal of Industrial and Management Optimization
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 Communications in Partial Differential Equations
4 Communications in Statistics. Theory and Methods
4 Advances in Computational Mathematics
4 Nonlinear Analysis. Real World Applications
4 Mathematical Modelling and Analysis
4 Inverse Problems in Science and Engineering
4 Science China. Mathematics
4 Dynamic Games and Applications
4 International Journal of Systems Science. Principles and Applications of Systems and Integration
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 Acta Mathematicae Applicatae Sinica. English Series
3 Optimization
3 European Journal of Applied Mathematics
3 Journal of Mathematical Sciences (New York)
3 Taiwanese Journal of Mathematics
3 Journal of Inequalities and Applications
3 Lobachevskii Journal of Mathematics
3 Differential Equations
3 Stochastics and Dynamics
3 Mediterranean Journal of Mathematics
3 Oberwolfach Reports
3 Mathematics and Financial Economics
3 Kinetic and Related Models
3 Proceedings of the Estonian Academy of Sciences
3 Journal of Applied Analysis and Computation
3 Research in the Mathematical Sciences
...and 155 more Journals
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Cited in 47 Fields

802 Partial differential equations (35-XX)
757 Systems theory; control (93-XX)
406 Calculus of variations and optimal control; optimization (49-XX)
187 Numerical analysis (65-XX)
172 Probability theory and stochastic processes (60-XX)
138 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
80 Ordinary differential equations (34-XX)
78 Fluid mechanics (76-XX)
74 Operations research, mathematical programming (90-XX)
71 Operator theory (47-XX)
64 Mechanics of deformable solids (74-XX)
63 Biology and other natural sciences (92-XX)
48 Real functions (26-XX)
34 Dynamical systems and ergodic theory (37-XX)
25 Integral equations (45-XX)
23 Differential geometry (53-XX)
22 Statistical mechanics, structure of matter (82-XX)
18 Global analysis, analysis on manifolds (58-XX)
16 Functional analysis (46-XX)
14 Optics, electromagnetic theory (78-XX)
11 Difference and functional equations (39-XX)
11 Quantum theory (81-XX)
10 Computer science (68-XX)
9 Mechanics of particles and systems (70-XX)
9 Classical thermodynamics, heat transfer (80-XX)
7 Integral transforms, operational calculus (44-XX)
6 Functions of a complex variable (30-XX)
6 Special functions (33-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Topological groups, Lie groups (22-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 General and overarching topics; collections (00-XX)
4 Combinatorics (05-XX)
4 Measure and integration (28-XX)
4 Approximations and expansions (41-XX)
4 Statistics (62-XX)
4 Geophysics (86-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Number theory (11-XX)
2 Algebraic geometry (14-XX)
2 General topology (54-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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