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Mathematical Control & Related Fields (MCRF) aims to publish original research as well as expository papers on mathematical control theory and related fields. The goal is to provide a complete and reliable source of mathematical methods and results in this field. The journal will also accept papers from some related fields such as differential equations, functional analysis, probability theory and stochastic analysis, inverse problems, optimization, numerical analysis and scientific computation, machine learning, data sciences, mathematical finance, information theory, game theory, system theory, and various applications, provided that they have some intrinsic connections with control theory.


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Approximate controllability of nonlinear parabolic PDEs in arbitrary space dimension
Vahagn Nersesyan
2021, 11(2) : 237-251 doi: 10.3934/mcrf.2020035 +[Abstract](571) +[HTML](263) +[PDF](335.5KB)
Optimal control problems governed by 1-D Kobayashi–Warren–Carter type systems
Harbir Antil, Shodai Kubota, Ken Shirakawa and Noriaki Yamazaki
2021, 11(2) : 253-289 doi: 10.3934/mcrf.2020036 +[Abstract](518) +[HTML](280) +[PDF](528.96KB)
A stochastic optimal control problem governed by SPDEs via a spatial-temporal interaction operator
Zhun Gou, Nan-jing Huang, Ming-hui Wang and Yao-jia Zhang
2021, 11(2) : 291-312 doi: 10.3934/mcrf.2020037 +[Abstract](524) +[HTML](262) +[PDF](431.18KB)
Improved error estimates for optimal control of the Stokes problem with pointwise tracking in three dimensions
Niklas Behringer
2021, 11(2) : 313-328 doi: 10.3934/mcrf.2020038 +[Abstract](579) +[HTML](260) +[PDF](413.4KB)
On switching properties of time optimal controls for linear ODEs
Shulin Qin, Gengsheng Wang and Huaiqiang Yu
2021, 11(2) : 329-351 doi: 10.3934/mcrf.2020039 +[Abstract](397) +[HTML](176) +[PDF](452.81KB)
General stability of abstract thermoelastic system with infinite memory and delay
Jianghao Hao and Junna Zhang
2021, 11(2) : 353-371 doi: 10.3934/mcrf.2020040 +[Abstract](358) +[HTML](175) +[PDF](397.82KB)
Local contact sub-Finslerian geometry for maximum norms in dimension 3
Entisar A.-L. Ali and G. Charlot
2021, 11(2) : 373-401 doi: 10.3934/mcrf.2020041 +[Abstract](441) +[HTML](184) +[PDF](711.91KB)
Stable determination of a vector field in a non-Self-Adjoint dynamical Schrödinger equation on Riemannian manifolds
Mourad Bellassoued, Ibtissem Ben Aïcha and Zouhour Rezig
2021, 11(2) : 403-431 doi: 10.3934/mcrf.2020042 +[Abstract](393) +[HTML](186) +[PDF](571.32KB)
Extended backward stochastic Volterra integral equations and their applications to time-Inconsistent stochastic recursive control problems
Yushi Hamaguchi
2021, 11(2) : 433-478 doi: 10.3934/mcrf.2020043 +[Abstract](476) +[HTML](187) +[PDF](519.98KB)
Stochastic optimal control — A concise introduction
Jiongmin Yong
2020doi: 10.3934/mcrf.2020027 +[Abstract](1633) +[HTML](548) +[PDF](662.07KB)
Limiting behavior of fractional stochastic integro-Differential equations on unbounded domains
Ji Shu, Linyan Li, Xin Huang and Jian Zhang
2020doi: 10.3934/mcrf.2020044 +[Abstract](380) +[HTML](186) +[PDF](521.31KB)
First order necessary conditions of optimality for the two dimensional tidal dynamics system
Manil T. Mohan
2020doi: 10.3934/mcrf.2020045 +[Abstract](416) +[HTML](177) +[PDF](520.92KB)
Strict dissipativity for discrete time discounted optimal control problems
Lars Grüne, Matthias A. Müller, Christopher M. Kellett and Steven R. Weller
2020doi: 10.3934/mcrf.2020046 +[Abstract](425) +[HTML](169) +[PDF](537.54KB)
A stackelberg game of backward stochastic differential equations with partial information
Yueyang Zheng and Jingtao Shi
2020doi: 10.3934/mcrf.2020047 +[Abstract](464) +[HTML](165) +[PDF](511.17KB)
Stochastic maximum principle for problems with delay with dependence on the past through general measures
Giuseppina Guatteri and Federica Masiero
2020doi: 10.3934/mcrf.2020048 +[Abstract](406) +[HTML](166) +[PDF](358.48KB)
Approximate controllability of a Sobolev type impulsive functional evolution system in Banach spaces
Sumit Arora, Manil T. Mohan and Jaydev Dabas
2020doi: 10.3934/mcrf.2020049 +[Abstract](424) +[HTML](180) +[PDF](379.15KB)
Stability of N-D transmission problem in viscoelasticity with localized Kelvin-Voigt damping under different types of geometric conditions
Ali Wehbe, Rayan Nasser and Nahla Noun
2020doi: 10.3934/mcrf.2020050 +[Abstract](324) +[HTML](132) +[PDF](641.43KB)
Solvability and sliding mode control for the viscous Cahn–Hilliard system with a possibly singular potential
Pierluigi Colli, Gianni Gilardi and Gabriela Marinoschi
2020doi: 10.3934/mcrf.2020051 +[Abstract](310) +[HTML](142) +[PDF](532.62KB)
Optimal control of a non-smooth quasilinear elliptic equation
Christian Clason, Vu Huu Nhu and Arnd Rösch
2020doi: 10.3934/mcrf.2020052 +[Abstract](355) +[HTML](142) +[PDF](795.67KB)
Strict dissipativity analysis for classes of optimal control problems involving probability density functions
Arthur Fleig and Lars Grüne
2020doi: 10.3934/mcrf.2020053 +[Abstract](302) +[HTML](138) +[PDF](1330.49KB)
A stability result for the diffusion coefficient of the heat operator defined on an unbounded guide
Laure Cardoulis, Michel Cristofol and Morgan Morancey
2020doi: 10.3934/mcrf.2020054 +[Abstract](322) +[HTML](122) +[PDF](458.51KB)
Exact noise cancellation for 1d-acoustic propagation systems
Jérôme Lohéac, Chaouki N. E. Boultifat, Philippe Chevrel and Mohamed Yagoubi
2020doi: 10.3934/mcrf.2020055 +[Abstract](284) +[HTML](131) +[PDF](574.53KB)
Sampled-data integral control of multivariable linear infinite-dimensional systems with input nonlinearities
Max E. Gilmore, Chris Guiver and Hartmut Logemann
2021doi: 10.3934/mcrf.2021001 +[Abstract](218) +[HTML](104) +[PDF](849.66KB)
Networks of geometrically exact beams: Well-posedness and stabilization
Charlotte Rodriguez
2021doi: 10.3934/mcrf.2021002 +[Abstract](258) +[HTML](109) +[PDF](948.33KB)
Learning nonlocal regularization operators
Gernot Holler and Karl Kunisch
2021doi: 10.3934/mcrf.2021003 +[Abstract](287) +[HTML](141) +[PDF](652.6KB)
Model reduction for fractional elliptic problems using Kato's formula
Huy Dinh, Harbir Antil, Yanlai Chen, Elena Cherkaev and Akil Narayan
2021doi: 10.3934/mcrf.2021004 +[Abstract](179) +[HTML](57) +[PDF](1506.67KB)
Noise and stability in reaction-diffusion equations
Guangying Lv, Jinlong Wei and Guang-an Zou
2021doi: 10.3934/mcrf.2021005 +[Abstract](183) +[HTML](61) +[PDF](434.81KB)
Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback
Christophe Zhang
2021doi: 10.3934/mcrf.2021006 +[Abstract](173) +[HTML](51) +[PDF](541.89KB)
Optimal control of the transmission rate in compartmental epidemics
Lorenzo Freddi
2021doi: 10.3934/mcrf.2021007 +[Abstract](186) +[HTML](59) +[PDF](522.71KB)
Preface special issue on system modeling and optimization
Eduardo Casas, Christian Clason and Arnd Rösch
2021doi: 10.3934/mcrf.2021008 +[Abstract](236) +[HTML](62) +[PDF](60.7KB)
Optimal control of elliptic variational inequalities with bounded and unbounded operators
Livia Betz and Irwin Yousept
2021doi: 10.3934/mcrf.2021009 +[Abstract](192) +[HTML](46) +[PDF](400.76KB)
Tracking aircraft trajectories in the presence of wind disturbances
Nikolai Botkin, Varvara Turova, Barzin Hosseini, Johannes Diepolder and Florian Holzapfel
2021doi: 10.3934/mcrf.2021010 +[Abstract](180) +[HTML](62) +[PDF](3295.62KB)
Optimal control of ODEs with state suprema
Tobias Geiger, Daniel Wachsmuth and Gerd Wachsmuth
2021doi: 10.3934/mcrf.2021012 +[Abstract](162) +[HTML](53) +[PDF](404.4KB)
Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations
Lars Grüne, Luca Mechelli, Simon Pirkelmann and Stefan Volkwein
2021doi: 10.3934/mcrf.2021013 +[Abstract](184) +[HTML](57) +[PDF](589.73KB)
A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system
Marita Holtmannspötter, Arnd Rösch and Boris Vexler
2021doi: 10.3934/mcrf.2021014 +[Abstract](174) +[HTML](53) +[PDF](575.2KB)
External polyhedral estimates of reachable sets of discrete-time systems with integral bounds on additive terms
Elena K. Kostousova
2021doi: 10.3934/mcrf.2021015 +[Abstract](175) +[HTML](59) +[PDF](332.11KB)
Modeling the pressure distribution in a spatially averaged cerebral capillary network
Andrey Kovtanyuk, Alexander Chebotarev, Nikolai Botkin, Varvara Turova, Irina Sidorenko and Renée Lampe
2021doi: 10.3934/mcrf.2021016 +[Abstract](151) +[HTML](51) +[PDF](650.54KB)
Second order directional shape derivatives of integrals on submanifolds
Anton Schiela and Julian Ortiz
2021doi: 10.3934/mcrf.2021017 +[Abstract](139) +[HTML](57) +[PDF](364.68KB)
Uncertainty damping in kinetic traffic models by driver-assist controls
Andrea Tosin and Mattia Zanella
2021doi: 10.3934/mcrf.2021018 +[Abstract](161) +[HTML](55) +[PDF](1587.19KB)
A Gronwall lemma for functions of two variables and its application to partial differential equations of fractional order
Dariusz Idczak
2021doi: 10.3934/mcrf.2021019 +[Abstract](110) +[HTML](45) +[PDF](394.79KB)
A concise introduction to control theory for stochastic partial differential equations
Qi Lü and Xu Zhang
2021doi: 10.3934/mcrf.2021020 +[Abstract](210) +[HTML](67) +[PDF](1176.6KB)
Stability analysis of infinite-dimensional event-triggered and self-triggered control systems with Lipschitz perturbations
Masashi Wakaiki and Hideki Sano
2021doi: 10.3934/mcrf.2021021 +[Abstract](94) +[HTML](37) +[PDF](740.64KB)
Optimal control of perfect plasticity part I: Stress tracking
Christian Meyer and Stephan Walther
2021doi: 10.3934/mcrf.2021022 +[Abstract](98) +[HTML](42) +[PDF](1269.77KB)
Solvable approximations of 3-dimensional almost-Riemannian structures
Philippe Jouan and Ronald Manríquez
2021doi: 10.3934/mcrf.2021023 +[Abstract](112) +[HTML](41) +[PDF](666.87KB)
Controllability under positive constraints for quasilinear parabolic PDEs
Miguel R. Nuñez-Chávez
2021doi: 10.3934/mcrf.2021024 +[Abstract](65) +[HTML](23) +[PDF](341.15KB)
A nonzero-sum risk-sensitive stochastic differential game in the orthant
Mrinal K. Ghosh and Somnath Pradhan
2021doi: 10.3934/mcrf.2021025 +[Abstract](68) +[HTML](25) +[PDF](446.66KB)
Linear-quadratic mean-field type stackelberg differential games for stochastic jump-diffusion systems
Jun Moon
2021doi: 10.3934/mcrf.2021026 +[Abstract](78) +[HTML](21) +[PDF](504.57KB)
Feedback stabilization of parabolic systems with input delay
Imene Aicha Djebour, Takéo Takahashi and Julie Valein
2021doi: 10.3934/mcrf.2021027 +[Abstract](68) +[HTML](20) +[PDF](389.72KB)
Recent results on the controllability of linear coupled parabolic problems: A survey
Farid Ammar-Khodja, Assia Benabdallah, Manuel González-Burgos and Luz de Teresa
2011, 1(3) : 267-306 doi: 10.3934/mcrf.2011.1.267 +[Abstract](2975) +[PDF](671.6KB) Cited By(67)
Time-inconsistent optimal control problems and the equilibrium HJB equation
Jiongmin Yong
2012, 2(3) : 271-329 doi: 10.3934/mcrf.2012.2.271 +[Abstract](4388) +[PDF](637.9KB) Cited By(57)
Strict Lyapunov functions for semilinear parabolic partial differential equations
Frédéric Mazenc and Christophe Prieur
2011, 1(2) : 231-250 doi: 10.3934/mcrf.2011.1.231 +[Abstract](3451) +[PDF](929.8KB) Cited By(52)
Inverse source problem with a final overdetermination for a fractional diffusion equation
Kenichi Sakamoto and Masahiro Yamamoto
2011, 1(4) : 509-518 doi: 10.3934/mcrf.2011.1.509 +[Abstract](4010) +[PDF](316.6KB) Cited By(43)
Sparse stabilization and optimal control of the Cucker-Smale model
Marco Caponigro, Massimo Fornasier, Benedetto Piccoli and Emmanuel Trélat
2013, 3(4) : 447-466 doi: 10.3934/mcrf.2013.3.447 +[Abstract](4326) +[PDF](467.3KB) Cited By(42)
A linear-quadratic optimal control problem for mean-field stochastic differential equations in infinite horizon
Jianhui Huang, Xun Li and Jiongmin Yong
2015, 5(1) : 97-139 doi: 10.3934/mcrf.2015.5.97 +[Abstract](4476) +[PDF](614.2KB) Cited By(39)
Control of a Korteweg-de Vries equation: A tutorial
Eduardo Cerpa
2014, 4(1) : 45-99 doi: 10.3934/mcrf.2014.4.45 +[Abstract](3612) +[PDF](701.7KB) Cited By(32)
A deterministic linear quadratic time-inconsistent optimal control problem
Jiongmin Yong
2011, 1(1) : 83-118 doi: 10.3934/mcrf.2011.1.83 +[Abstract](23443) +[PDF](442.3KB) Cited By(25)
Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions
Andrii Mironchenko and Hiroshi Ito
2016, 6(3) : 447-466 doi: 10.3934/mcrf.2016011 +[Abstract](2885) +[PDF](531.3KB) Cited By(22)
Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction
Martin Gugat and Markus Dick
2011, 1(4) : 469-491 doi: 10.3934/mcrf.2011.1.469 +[Abstract](3284) +[PDF](368.5KB) Cited By(19)
Stochastic optimal control — A concise introduction
Jiongmin Yong
2020, 0(0) : 0 doi: 10.3934/mcrf.2020027 +[Abstract](1633) +[HTML](548) +[PDF](662.07KB) PDF Downloads(444)
Optimal control of the coefficient for the regional fractional $p$-Laplace equation: Approximation and convergence
Harbir Antil and Mahamadi Warma
2019, 9(1) : 1-38 doi: 10.3934/mcrf.2019001 +[Abstract](4639) +[HTML](928) +[PDF](617.03KB) PDF Downloads(403)
Extension of the strong law of large numbers for capacities
Zengjing Chen, Weihuan Huang and Panyu Wu
2019, 9(1) : 175-190 doi: 10.3934/mcrf.2019010 +[Abstract](3984) +[HTML](791) +[PDF](403.95KB) PDF Downloads(369)
Robust optimal investment and reinsurance of an insurer under Jump-diffusion models
Xin Zhang, Hui Meng, Jie Xiong and Yang Shen
2019, 9(1) : 59-76 doi: 10.3934/mcrf.2019003 +[Abstract](4526) +[HTML](1199) +[PDF](526.9KB) PDF Downloads(331)
Controllability properties of degenerate pseudo-parabolic boundary control problems
Mu-Ming Zhang, Tian-Yuan Xu and Jing-Xue Yin
2020, 10(1) : 157-169 doi: 10.3934/mcrf.2019034 +[Abstract](2810) +[HTML](757) +[PDF](338.24KB) PDF Downloads(313)
Quantitative approximation properties for the fractional heat equation
Angkana Rüland and Mikko Salo
2020, 10(1) : 1-26 doi: 10.3934/mcrf.2019027 +[Abstract](3352) +[HTML](694) +[PDF](421.41KB) PDF Downloads(305)
The cost of controlling weakly degenerate parabolic equations by boundary controls
Piermarco Cannarsa, Patrick Martinez and Judith Vancostenoble
2017, 7(2) : 171-211 doi: 10.3934/mcrf.2017006 +[Abstract](2754) +[HTML](54) +[PDF](688.5KB) PDF Downloads(298)
Asymptotic behavior of a Schrödinger equation under a constrained boundary feedback
Haoyue Cui, Dongyi Liu and Genqi Xu
2018, 8(2) : 383-395 doi: 10.3934/mcrf.2018015 +[Abstract](4499) +[HTML](615) +[PDF](434.73KB) PDF Downloads(290)
A Poincaré-Bendixson theorem for hybrid systems
William Clark, Anthony Bloch and Leonardo Colombo
2020, 10(1) : 27-45 doi: 10.3934/mcrf.2019028 +[Abstract](2804) +[HTML](797) +[PDF](585.77KB) PDF Downloads(289)
Linear quadratic mean-field-game of backward stochastic differential systems
Kai Du, Jianhui Huang and Zhen Wu
2018, 8(3&4) : 653-678 doi: 10.3934/mcrf.2018028 +[Abstract](4089) +[HTML](548) +[PDF](514.51KB) PDF Downloads(284)

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