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Mathematical Control and 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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Optimal control of perfect plasticity part I: Stress tracking
Christian Meyer and Stephan Walther
2022, 12(2) : 275-301 doi: 10.3934/mcrf.2021022 +[Abstract](1119) +[HTML](417) +[PDF](1311.99KB)
Solvable approximations of 3-dimensional almost-Riemannian structures
Philippe Jouan and Ronald Manríquez
2022, 12(2) : 303-326 doi: 10.3934/mcrf.2021023 +[Abstract](1091) +[HTML](433) +[PDF](702.96KB)
Controllability under positive constraints for quasilinear parabolic PDEs
Miguel R. Nuñez-Chávez
2022, 12(2) : 327-341 doi: 10.3934/mcrf.2021024 +[Abstract](1015) +[HTML](413) +[PDF](446.87KB)
A nonzero-sum risk-sensitive stochastic differential game in the orthant
Mrinal K. Ghosh and Somnath Pradhan
2022, 12(2) : 343-370 doi: 10.3934/mcrf.2021025 +[Abstract](1046) +[HTML](433) +[PDF](586.79KB)
Linear-quadratic mean-field type stackelberg differential games for stochastic jump-diffusion systems
Jun Moon
2022, 12(2) : 371-404 doi: 10.3934/mcrf.2021026 +[Abstract](1478) +[HTML](408) +[PDF](676.03KB)
Feedback stabilization of parabolic systems with input delay
Imene Aicha Djebour, Takéo Takahashi and Julie Valein
2022, 12(2) : 405-420 doi: 10.3934/mcrf.2021027 +[Abstract](1000) +[HTML](410) +[PDF](516.79KB)
On the nonuniqueness and instability of solutions of tracking-type optimal control problems
Constantin Christof and Dominik Hafemeyer
2022, 12(2) : 421-431 doi: 10.3934/mcrf.2021028 +[Abstract](1113) +[HTML](371) +[PDF](438.98KB)
Local Kalman rank condition for linear time varying systems
Hamid Maarouf
2022, 12(2) : 433-446 doi: 10.3934/mcrf.2021029 +[Abstract](1197) +[HTML](449) +[PDF](396.73KB)
Local well-posedness for a class of 1D Boussinesq systems
Alex M. Montes and Ricardo Córdoba
2022, 12(2) : 447-473 doi: 10.3934/mcrf.2021030 +[Abstract](949) +[HTML](413) +[PDF](456.95KB)
Maximum principle for discrete-time stochastic optimal control problem and stochastic game
Zhen Wu and Feng Zhang
2022, 12(2) : 475-493 doi: 10.3934/mcrf.2021031 +[Abstract](1048) +[HTML](349) +[PDF](609.58KB)
Existence and cost of boundary controls for a degenerate/singular parabolic equation
U. Biccari, V. Hernández-Santamaría and J. Vancostenoble
2022, 12(2) : 495-530 doi: 10.3934/mcrf.2021032 +[Abstract](912) +[HTML](349) +[PDF](696.54KB)
Optimal investment and reinsurance of insurers with lognormal stochastic factor model
Hiroaki Hata and Li-Hsien Sun
2022, 12(2) : 531-566 doi: 10.3934/mcrf.2021033 +[Abstract](1004) +[HTML](383) +[PDF](798.05KB)
Stochastic optimal control — A concise introduction
Jiongmin Yong
2020doi: 10.3934/mcrf.2020027 +[Abstract](5519) +[HTML](1602) +[PDF](662.07KB)
A concise introduction to control theory for stochastic partial differential equations
Qi Lü and Xu Zhang
2021doi: 10.3934/mcrf.2021020 +[Abstract](1949) +[HTML](507) +[PDF](1176.6KB)
Inverse optimal control of regime-switching jump diffusions
Wensheng Yin, Jinde Cao and Yong Ren
2021doi: 10.3934/mcrf.2021034 +[Abstract](815) +[HTML](380) +[PDF](358.96KB)
A linear quadratic stochastic Stackelberg differential game with time delay
Weijun Meng and Jingtao Shi
2021doi: 10.3934/mcrf.2021035 +[Abstract](902) +[HTML](416) +[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](772) +[HTML](388) +[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](750) +[HTML](376) +[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](831) +[HTML](365) +[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](723) +[HTML](264) +[PDF](495.35KB)
Stable invariant manifolds with application to control problems
Alexey Gorshkov
2021doi: 10.3934/mcrf.2021040 +[Abstract](745) +[HTML](293) +[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](855) +[HTML](284) +[PDF](769.18KB)
Optimal control of transverse vibration of a moving string with time-varying lengths
Bing Sun
2021doi: 10.3934/mcrf.2021042 +[Abstract](738) +[HTML](286) +[PDF](280.33KB)
Convergence of coprime factor perturbations for robust stabilization of Oseen systems
Jan Heiland
2021doi: 10.3934/mcrf.2021043 +[Abstract](708) +[HTML](291) +[PDF](485.32KB)
Asymptotic gain results for attractors of semilinear systems
Jochen Schmid, Oleksiy Kapustyan and Sergey Dashkovskiy
2021doi: 10.3934/mcrf.2021044 +[Abstract](657) +[HTML](280) +[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](883) +[HTML](396) +[PDF](367.31KB)
Computation of open-loop inputs for uniformly ensemble controllable systems
Michael Schönlein
2021doi: 10.3934/mcrf.2021046 +[Abstract](653) +[HTML](269) +[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](756) +[HTML](255) +[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](765) +[HTML](262) +[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](644) +[HTML](269) +[PDF](4237.36KB)
Existence and uniqueness for variational data assimilation in continuous time
Jochen Bröcker
2021doi: 10.3934/mcrf.2021050 +[Abstract](618) +[HTML](229) +[PDF](432.75KB)
Controllability to rest of the Gurtin-Pipkin model
Xiuxiang Zhou and Shu Luan
2021doi: 10.3934/mcrf.2021051 +[Abstract](506) +[HTML](226) +[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](679) +[HTML](236) +[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](643) +[HTML](334) +[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](713) +[HTML](211) +[PDF](571.47KB)
Eigenvalues of stochastic Hamiltonian systems with boundary conditions and its application
Guangdong Jing and Penghui Wang
2021doi: 10.3934/mcrf.2021055 +[Abstract](405) +[HTML](147) +[PDF](491.27KB)
Piezoelectric beams with magnetic effect and localized damping
Mounir Afilal, Abdelaziz Soufyane and Mauro de Lima Santos
2021doi: 10.3934/mcrf.2021056 +[Abstract](441) +[HTML](141) +[PDF](379.73KB)
Stability and asymptotic properties of dissipative evolution equations coupled with ordinary differential equations
Serge Nicaise
2021doi: 10.3934/mcrf.2021057 +[Abstract](481) +[HTML](140) +[PDF](550.06KB)
General decay and blow-up for coupled Kirchhoff wave equations with dynamic boundary conditions
Mengxian Lv and Jianghao Hao
2021doi: 10.3934/mcrf.2021058 +[Abstract](451) +[HTML](140) +[PDF](440.36KB)
Energy decay of some boundary coupled systems involving wave\ Euler-Bernoulli beam with one locally singular fractional Kelvin-Voigt damping
Mohammad Akil, Ibtissam Issa and Ali Wehbe
2021doi: 10.3934/mcrf.2021059 +[Abstract](504) +[HTML](140) +[PDF](623.76KB)
Constructive exact control of semilinear 1D heat equations
Jérôme Lemoine and Arnaud Münch
2022doi: 10.3934/mcrf.2022001 +[Abstract](390) +[HTML](100) +[PDF](511.87KB)
On the controllability of the BBM equation
Melek Jellouli
2022doi: 10.3934/mcrf.2022002 +[Abstract](343) +[HTML](117) +[PDF](419.43KB)
Optimal control of parameterized stationary Maxwell's system: Reduced basis, convergence analysis, and a posteriori error estimates
Quyen Tran, Harbir Antil and Hugo Díaz
2022doi: 10.3934/mcrf.2022003 +[Abstract](303) +[HTML](82) +[PDF](415.51KB)
A semigroup approach to stochastic systems with input delay at the boundary
S. Hadd and F.Z. Lahbiri
2022doi: 10.3934/mcrf.2022004 +[Abstract](267) +[HTML](71) +[PDF](369.62KB)
Carleman estimates for a magnetohydrodynamics system and application to inverse source problems
Xinchi Huang and Masahiro Yamamoto
2022doi: 10.3934/mcrf.2022005 +[Abstract](196) +[HTML](51) +[PDF](409.89KB)
The discretized backstepping method: An application to a general system of $ 2\times 2 $ linear balance laws
Mathias Dus
2022doi: 10.3934/mcrf.2022006 +[Abstract](196) +[HTML](60) +[PDF](566.82KB)
Stability and instability of standing waves for Gross-Pitaevskii equations with double power nonlinearities
Yue Zhang and Jian Zhang
2022doi: 10.3934/mcrf.2022007 +[Abstract](202) +[HTML](64) +[PDF](524.43KB)
A differential game control problem with state constraints
Nidhal Gammoudi and Hasnaa Zidani
2022doi: 10.3934/mcrf.2022008 +[Abstract](196) +[HTML](70) +[PDF](519.67KB)
Optimal control of a global model of climate change with adaptation and mitigation
Manoj Atolia, Prakash Loungani, Helmut Maurer and Willi Semmler
2022doi: 10.3934/mcrf.2022009 +[Abstract](269) +[HTML](55) +[PDF](891.4KB)
Theoretical and computational decay results for a memory type wave equation with variable-exponent nonlinearity
Adel M. Al-Mahdi, Mohammad M. Al-Gharabli and Mostafa Zahri
2022doi: 10.3934/mcrf.2022010 +[Abstract](256) +[HTML](65) +[PDF](702.86KB)
Analysis of exponential stabilization for Rao-Nakra sandwich beam with time-varying weight and time-varying delay: Multiplier method versus observability
Baowei Feng, Carlos Alberto Raposo, Carlos Alberto Nonato and Abdelaziz Soufyane
2022doi: 10.3934/mcrf.2022011 +[Abstract](219) +[HTML](116) +[PDF](388.87KB)
A general maximum principle for partially observed mean-field stochastic system with random jumps in progressive structure
Tian Chen and Zhen Wu
2022doi: 10.3934/mcrf.2022012 +[Abstract](218) +[HTML](68) +[PDF](394.92KB)
Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation
Evelyn Herberg and Michael Hinze
2022doi: 10.3934/mcrf.2022013 +[Abstract](187) +[HTML](50) +[PDF](590.13KB)
Boundary control for transport equations
Guillaume Bal and Alexandre Jollivet
2022doi: 10.3934/mcrf.2022014 +[Abstract](140) +[HTML](48) +[PDF](716.81KB)
Optimal control problems of parabolic fractional Sturm-Liouville equations in a star graph
Günter Leugering, Gisèle Mophou, Maryse Moutamal and Mahamadi Warma
2022doi: 10.3934/mcrf.2022015 +[Abstract](177) +[HTML](44) +[PDF](508.11KB)
Averaged turnpike property for differential equations with random constant coefficients
Martín Hernández, Rodrigo Lecaros and Sebastián Zamorano
2022doi: 10.3934/mcrf.2022016 +[Abstract](197) +[HTML](46) +[PDF](511.61KB)
Uniqueness for inverse problem of determining fractional orders for time-fractional advection-diffusion equations
Masahiro Yamamoto
2022doi: 10.3934/mcrf.2022017 +[Abstract](146) +[HTML](44) +[PDF](396.33KB)
Approximation of linear controlled dynamical systems with small random noise and fast periodic sampling
Shivam Dhama and Chetan D. Pahlajani
2022doi: 10.3934/mcrf.2022018 +[Abstract](143) +[HTML](33) +[PDF](463.18KB)
Second-order problems involving time-dependent subdifferential operators and application to control
Soumia Saïdi and Fatima Fennour
2022doi: 10.3934/mcrf.2022019 +[Abstract](163) +[HTML](42) +[PDF](420.7KB)
Dynamical estimation of a noisy input in a system with a Caputo fractional derivative. The case of continuous measurements of a part of phase coordinates
Platon Surkov
2022doi: 10.3934/mcrf.2022020 +[Abstract](102) +[HTML](23) +[PDF](655.97KB)
A geometric approach of gradient descent algorithms in linear neural networks
Yacine Chitour, Zhenyu Liao and Romain Couillet
2022doi: 10.3934/mcrf.2022021 +[Abstract](92) +[HTML](34) +[PDF](649.19KB)
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](4416) +[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](6031) +[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](4646) +[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](5329) +[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](5884) +[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](6009) +[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](5176) +[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](24912) +[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](4465) +[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](4417) +[PDF](368.5KB) Cited By(20)
Stochastic optimal control — A concise introduction
Jiongmin Yong
2020 doi: 10.3934/mcrf.2020027 +[Abstract](5519) +[HTML](1602) +[PDF](662.07KB) PDF Downloads(1613)
A concise introduction to control theory for stochastic partial differential equations
Qi Lü and Xu Zhang
2021 doi: 10.3934/mcrf.2021020 +[Abstract](1949) +[HTML](507) +[PDF](1176.6KB) PDF Downloads(617)
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](1911) +[HTML](336) +[PDF](556.27KB) PDF Downloads(588)
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](5424) +[HTML](806) +[PDF](403.95KB) PDF Downloads(566)
Stochastic impulse control Problem with state and time dependent cost functions
Brahim El Asri and Sehail Mazid
2020, 10(4) : 855-875 doi: 10.3934/mcrf.2020022 +[Abstract](1771) +[HTML](430) +[PDF](458.25KB) PDF Downloads(558)
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](5833) +[HTML](935) +[PDF](617.03KB) PDF Downloads(532)
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](2506) +[HTML](252) +[PDF](562.18KB) PDF Downloads(530)
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](5345) +[HTML](555) +[PDF](514.51KB) PDF Downloads(492)
Maximum principle for discrete-time stochastic optimal control problem and stochastic game
Zhen Wu and Feng Zhang
2022, 12(2) : 475-493 doi: 10.3934/mcrf.2021031 +[Abstract](1048) +[HTML](349) +[PDF](609.58KB) PDF Downloads(490)
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](6066) +[HTML](1210) +[PDF](526.9KB) PDF Downloads(482)

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

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