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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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Limiting behavior of fractional stochastic integro-Differential equations on unbounded domains
Ji Shu, Linyan Li, Xin Huang and Jian Zhang
2021, 11(4) : 715-737 doi: 10.3934/mcrf.2020044 +[Abstract](1031) +[HTML](408) +[PDF](429.96KB)
First order necessary conditions of optimality for the two dimensional tidal dynamics system
Manil T. Mohan
2021, 11(4) : 739-769 doi: 10.3934/mcrf.2020045 +[Abstract](970) +[HTML](412) +[PDF](437.59KB)
Strict dissipativity for discrete time discounted optimal control problems
Lars Grüne, Matthias A. Müller, Christopher M. Kellett and Steven R. Weller
2021, 11(4) : 771-796 doi: 10.3934/mcrf.2020046 +[Abstract](967) +[HTML](387) +[PDF](447.68KB)
A stackelberg game of backward stochastic differential equations with partial information
Yueyang Zheng and Jingtao Shi
2021, 11(4) : 797-828 doi: 10.3934/mcrf.2020047 +[Abstract](1166) +[HTML](395) +[PDF](426.58KB)
Stochastic maximum principle for problems with delay with dependence on the past through general measures
Giuseppina Guatteri and Federica Masiero
2021, 11(4) : 829-855 doi: 10.3934/mcrf.2020048 +[Abstract](904) +[HTML](382) +[PDF](382.44KB)
Approximate controllability of a Sobolev type impulsive functional evolution system in Banach spaces
Sumit Arora, Manil T. Mohan and Jaydev Dabas
2021, 11(4) : 857-883 doi: 10.3934/mcrf.2020049 +[Abstract](1019) +[HTML](396) +[PDF](402.85KB)
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
2021, 11(4) : 885-904 doi: 10.3934/mcrf.2020050 +[Abstract](1016) +[HTML](361) +[PDF](540.81KB)
Solvability and sliding mode control for the viscous Cahn–Hilliard system with a possibly singular potential
Pierluigi Colli, Gianni Gilardi and Gabriela Marinoschi
2021, 11(4) : 905-934 doi: 10.3934/mcrf.2020051 +[Abstract](857) +[HTML](344) +[PDF](430.22KB)
Strict dissipativity analysis for classes of optimal control problems involving probability density functions
Arthur Fleig and Lars Grüne
2021, 11(4) : 935-964 doi: 10.3934/mcrf.2020053 +[Abstract](820) +[HTML](355) +[PDF](1347.36KB)
A stability result for the diffusion coefficient of the heat operator defined on an unbounded guide
Laure Cardoulis, Michel Cristofol and Morgan Morancey
2021, 11(4) : 965-985 doi: 10.3934/mcrf.2020054 +[Abstract](837) +[HTML](333) +[PDF](475.51KB)
Stochastic optimal control — A concise introduction
Jiongmin Yong
2020doi: 10.3934/mcrf.2020027 +[Abstract](3995) +[HTML](1235) +[PDF](662.07KB)
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](773) +[HTML](382) +[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](724) +[HTML](352) +[PDF](849.66KB)
Networks of geometrically exact beams: Well-posedness and stabilization
Charlotte Rodriguez
2021doi: 10.3934/mcrf.2021002 +[Abstract](797) +[HTML](363) +[PDF](948.33KB)
Learning nonlocal regularization operators
Gernot Holler and Karl Kunisch
2021doi: 10.3934/mcrf.2021003 +[Abstract](933) +[HTML](397) +[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](812) +[HTML](316) +[PDF](1506.67KB)
Noise and stability in reaction-diffusion equations
Guangying Lv, Jinlong Wei and Guang-an Zou
2021doi: 10.3934/mcrf.2021005 +[Abstract](734) +[HTML](313) +[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](707) +[HTML](305) +[PDF](541.89KB)
Optimal control of the transmission rate in compartmental epidemics
Lorenzo Freddi
2021doi: 10.3934/mcrf.2021007 +[Abstract](833) +[HTML](332) +[PDF](522.71KB)
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](589) +[HTML](309) +[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](1162) +[HTML](357) +[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](628) +[HTML](301) +[PDF](740.64KB)
Optimal control of perfect plasticity part I: Stress tracking
Christian Meyer and Stephan Walther
2021doi: 10.3934/mcrf.2021022 +[Abstract](661) +[HTML](292) +[PDF](1269.77KB)
Solvable approximations of 3-dimensional almost-Riemannian structures
Philippe Jouan and Ronald Manríquez
2021doi: 10.3934/mcrf.2021023 +[Abstract](682) +[HTML](300) +[PDF](666.87KB)
Controllability under positive constraints for quasilinear parabolic PDEs
Miguel R. Nuñez-Chávez
2021doi: 10.3934/mcrf.2021024 +[Abstract](591) +[HTML](289) +[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](629) +[HTML](298) +[PDF](446.66KB)
Linear-quadratic mean-field type stackelberg differential games for stochastic jump-diffusion systems
Jun Moon
2021doi: 10.3934/mcrf.2021026 +[Abstract](787) +[HTML](273) +[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](576) +[HTML](280) +[PDF](389.72KB)
On the nonuniqueness and instability of solutions of tracking-type optimal control problems
Constantin Christof and Dominik Hafemeyer
2021doi: 10.3934/mcrf.2021028 +[Abstract](691) +[HTML](243) +[PDF](390.16KB)
Local Kalman rank condition for linear time varying systems
Hamid Maarouf
2021doi: 10.3934/mcrf.2021029 +[Abstract](620) +[HTML](281) +[PDF](351.99KB)
Local well-posedness for a class of 1D Boussinesq systems
Alex M. Montes and Ricardo Córdoba
2021doi: 10.3934/mcrf.2021030 +[Abstract](513) +[HTML](271) +[PDF](417.68KB)
Maximum principle for discrete-time stochastic optimal control problem and stochastic game
Zhen Wu and Feng Zhang
2021doi: 10.3934/mcrf.2021031 +[Abstract](491) +[HTML](221) +[PDF](566.19KB)
Existence and cost of boundary controls for a degenerate/singular parabolic equation
U. Biccari, V. Hernández-Santamaría and J. Vancostenoble
2021doi: 10.3934/mcrf.2021032 +[Abstract](449) +[HTML](221) +[PDF](651.72KB)
Optimal investment and reinsurance of insurers with lognormal stochastic factor model
Hiroaki Hata and Li-Hsien Sun
2021doi: 10.3934/mcrf.2021033 +[Abstract](531) +[HTML](239) +[PDF](753.95KB)
Inverse optimal control of regime-switching jump diffusions
Wensheng Yin, Jinde Cao and Yong Ren
2021doi: 10.3934/mcrf.2021034 +[Abstract](396) +[HTML](230) +[PDF](358.96KB)
A linear quadratic stochastic Stackelberg differential game with time delay
Weijun Meng and Jingtao Shi
2021doi: 10.3934/mcrf.2021035 +[Abstract](420) +[HTML](213) +[PDF](583.93KB)
Cross-constrained variational method and nonlinear Schrödinger equation with partial confinement
Chenglin Wang and Jian Zhang
2021doi: 10.3934/mcrf.2021036 +[Abstract](367) +[HTML](213) +[PDF](292.43KB)
Numerical analysis and simulations of a frictional contact problem with damage and memory
Hailing Xuan and Xiaoliang Cheng
2021doi: 10.3934/mcrf.2021037 +[Abstract](377) +[HTML](229) +[PDF](1779.33KB)
Local null controllability of the penalized Boussinesq system with a reduced number of controls
Jon Asier Bárcena-Petisco and Kévin Le Balc'h
2021doi: 10.3934/mcrf.2021038 +[Abstract](411) +[HTML](218) +[PDF](547.31KB)
On the asymptotic stability of the Korteweg-de Vries equation with time-delayed internal feedback
Julie Valein
2021doi: 10.3934/mcrf.2021039 +[Abstract](300) +[HTML](131) +[PDF](495.35KB)
Stable invariant manifolds with application to control problems
Alexey Gorshkov
2021doi: 10.3934/mcrf.2021040 +[Abstract](308) +[HTML](153) +[PDF](305.59KB)
A tracking problem for the state of charge in a electrochemical Li-ion battery model
Esteban Hernández, Christophe Prieur and Eduardo Cerpa
2021doi: 10.3934/mcrf.2021041 +[Abstract](333) +[HTML](143) +[PDF](769.18KB)
Optimal control of transverse vibration of a moving string with time-varying lengths
Bing Sun
2021doi: 10.3934/mcrf.2021042 +[Abstract](324) +[HTML](144) +[PDF](280.33KB)
Convergence of coprime factor perturbations for robust stabilization of Oseen systems
Jan Heiland
2021doi: 10.3934/mcrf.2021043 +[Abstract](308) +[HTML](145) +[PDF](485.32KB)
Asymptotic gain results for attractors of semilinear systems
Jochen Schmid, Oleksiy Kapustyan and Sergey Dashkovskiy
2021doi: 10.3934/mcrf.2021044 +[Abstract](277) +[HTML](142) +[PDF](430.91KB)
A nonlinear version of Halanay's inequality for the uniform convergence to the origin
Pierdomenico Pepe
2021doi: 10.3934/mcrf.2021045 +[Abstract](366) +[HTML](215) +[PDF](367.31KB)
Computation of open-loop inputs for uniformly ensemble controllable systems
Michael Schönlein
2021doi: 10.3934/mcrf.2021046 +[Abstract](272) +[HTML](138) +[PDF](339.87KB)
Linear-Quadratic-Gaussian mean-field controls of social optima
Zhenghong Qiu, Jianhui Huang and Tinghan Xie
2021doi: 10.3934/mcrf.2021047 +[Abstract](319) +[HTML](131) +[PDF](879.43KB)
Parameter learning and fractional differential operators: Applications in regularized image denoising and decomposition problems
Sören Bartels and Nico Weber
2021doi: 10.3934/mcrf.2021048 +[Abstract](304) +[HTML](130) +[PDF](9017.44KB)
Continuity with respect to the speed for optimal ship forms based on Michell's formula
Julien Dambrine and Morgan Pierre
2021doi: 10.3934/mcrf.2021049 +[Abstract](212) +[HTML](105) +[PDF](4237.36KB)
Existence and uniqueness for variational data assimilation in continuous time
Jochen Bröcker
2021doi: 10.3934/mcrf.2021050 +[Abstract](207) +[HTML](93) +[PDF](432.75KB)
Controllability to rest of the Gurtin-Pipkin model
Xiuxiang Zhou and Shu Luan
2021doi: 10.3934/mcrf.2021051 +[Abstract](161) +[HTML](88) +[PDF](335.72KB)
Null controllability of a nonlinear age, space and two-sex structured population dynamics model
Yacouba Simporé and Oumar Traoré
2021doi: 10.3934/mcrf.2021052 +[Abstract](224) +[HTML](79) +[PDF](598.48KB)
Open-loop equilibriums for a general class of time-inconsistent stochastic optimal control problems
Ishak Alia
2021doi: 10.3934/mcrf.2021053 +[Abstract](178) +[HTML](131) +[PDF](566.08KB)
Commutative properties for conservative space-time DG discretizations of optimal control problems involving the viscous Burgers equation
Xenia Kerkhoff and Sandra May
2021doi: 10.3934/mcrf.2021054 +[Abstract](180) +[HTML](73) +[PDF](571.47KB)
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](3808) +[PDF](671.6KB) Cited By(69)
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](5339) +[PDF](637.9KB) Cited By(61)
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](4087) +[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](4786) +[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](5186) +[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](5275) +[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](4522) +[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](24326) +[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](3778) +[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](3893) +[PDF](368.5KB) Cited By(20)
Stochastic optimal control — A concise introduction
Jiongmin Yong
2020 doi: 10.3934/mcrf.2020027 +[Abstract](3995) +[HTML](1235) +[PDF](662.07KB) PDF Downloads(1085)
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](5290) +[HTML](933) +[PDF](617.03KB) PDF Downloads(489)
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](4807) +[HTML](805) +[PDF](403.95KB) PDF Downloads(487)
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](5338) +[HTML](1206) +[PDF](526.9KB) PDF Downloads(437)
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](3445) +[HTML](801) +[PDF](585.77KB) PDF Downloads(419)
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](4783) +[HTML](552) +[PDF](514.51KB) PDF Downloads(408)
Linear-quadratic-Gaussian mean-field-game with partial observation and common noise
Alain Bensoussan, Xinwei Feng and Jianhui Huang
2021, 11(1) : 23-46 doi: 10.3934/mcrf.2020025 +[Abstract](1330) +[HTML](326) +[PDF](556.27KB) PDF Downloads(398)
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](3483) +[HTML](57) +[PDF](688.5KB) PDF Downloads(397)
Fractional optimal control problems on a star graph: Optimality system and numerical solution
Vaibhav Mehandiratta, Mani Mehra and Günter Leugering
2021, 11(1) : 189-209 doi: 10.3934/mcrf.2020033 +[Abstract](1731) +[HTML](249) +[PDF](562.18KB) PDF Downloads(393)
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](3428) +[HTML](760) +[PDF](338.24KB) PDF Downloads(392)

2020 Impact Factor: 1.284
5 Year Impact Factor: 1.345
2020 CiteScore: 1.9

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