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Volume 9, 2019

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Volume 1, 2011

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 computation, mathematical finance, information theory, game theory, system theory, etc., provided that they have some intrinsic connections with control theory.


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Optimal control problem for exact synchronization of parabolic system
Lijuan Wang and Qishu Yan
2019, 9(3) : 411-424 doi: 10.3934/mcrf.2019019 +[Abstract](1524) +[HTML](380) +[PDF](406.48KB)
A fully nonlinear free boundary problem arising from optimal dividend and risk control model
Chonghu Guan, Fahuai Yi and Xiaoshan Chen
2019, 9(3) : 425-452 doi: 10.3934/mcrf.2019020 +[Abstract](1291) +[HTML](385) +[PDF](568.58KB)
Controllability for a string with attached masses and Riesz bases for asymmetric spaces
Sergei Avdonin and Julian Edward
2019, 9(3) : 453-494 doi: 10.3934/mcrf.2019021 +[Abstract](1201) +[HTML](466) +[PDF](645.75KB)
A stochastic maximum principle for linear quadratic problem with nonconvex control domain
Shaolin Ji and Xiaole Xue
2019, 9(3) : 495-507 doi: 10.3934/mcrf.2019022 +[Abstract](1427) +[HTML](392) +[PDF](353.8KB)
Determining the shape of a solid of revolution
Amin Boumenir
2019, 9(3) : 509-515 doi: 10.3934/mcrf.2019023 +[Abstract](1189) +[HTML](353) +[PDF](294.58KB)
Discretized feedback control for systems of linearized hyperbolic balance laws
Stephan Gerster and Michael Herty
2019, 9(3) : 517-539 doi: 10.3934/mcrf.2019024 +[Abstract](1244) +[HTML](557) +[PDF](2232.79KB)
A non-exponential discounting time-inconsistent stochastic optimal control problem for jump-diffusion
Ishak Alia
2019, 9(3) : 541-570 doi: 10.3934/mcrf.2019025 +[Abstract](1453) +[HTML](418) +[PDF](567.96KB)
Optimal control and zero-sum games for Markov chains of mean-field type
Salah Eddine Choutri, Boualem Djehiche and Hamidou Tembine
2019, 9(3) : 571-605 doi: 10.3934/mcrf.2019026 +[Abstract](1529) +[HTML](412) +[PDF](570.9KB)
Quantitative approximation properties for the fractional heat equation
Angkana Rüland and Mikko Salo
2019doi: 10.3934/mcrf.2019027 +[Abstract](677) +[HTML](342) +[PDF](490.21KB)
A Poincaré-Bendixson theorem for hybrid systems
William Clark, Anthony Bloch and Leonardo Colombo
2019doi: 10.3934/mcrf.2019028 +[Abstract](635) +[HTML](411) +[PDF](624.55KB)
Time minimal saturation of a pair of spins and application in Magnetic Resonance Imaging
Bernard Bonnard, Olivier Cots, Jérémy Rouot and Thibaut Verron
2019doi: 10.3934/mcrf.2019029 +[Abstract](712) +[HTML](416) +[PDF](1182.03KB)
Approximation of controls for linear wave equations: A first order mixed formulation
Santiago Montaner and Arnaud Münch
2019doi: 10.3934/mcrf.2019030 +[Abstract](651) +[HTML](375) +[PDF](2038.8KB)
Minimal time of null controllability of two parabolic equations
Lydia Ouaili
2019doi: 10.3934/mcrf.2019031 +[Abstract](705) +[HTML](352) +[PDF](528.33KB)
A moment approach for entropy solutions to nonlinear hyperbolic PDEs
Swann Marx, Tillmann Weisser, Didier Henrion and Jean Bernard Lasserre
2019doi: 10.3934/mcrf.2019032 +[Abstract](765) +[HTML](358) +[PDF](772.2KB)
Regional gradient controllability of ultra-slow diffusions involving the Hadamard-Caputo time fractional derivative
Ruiyang Cai, Fudong Ge, Yangquan Chen and Chunhai Kou
2019doi: 10.3934/mcrf.2019033 +[Abstract](692) +[HTML](364) +[PDF](418.04KB)
Controllability properties of degenerate pseudo-parabolic boundary control problems
Mu-Ming Zhang, Tian-Yuan Xu and Jing-Xue Yin
2019doi: 10.3934/mcrf.2019034 +[Abstract](804) +[HTML](396) +[PDF](379.08KB)
A direct method based on the Clenshaw-Curtis formula for fractional optimal control problems
Mohammad Hadi Noori Skandari, Marzieh Habibli and Alireza Nazemi
2019doi: 10.3934/mcrf.2019035 +[Abstract](209) +[HTML](188) +[PDF](514.05KB)
Stable reconstruction of the volatility in a regime-switching local-volatility model
Mourad Bellassoued, Raymond Brummelhuis, Michel Cristofol and Éric Soccorsi
2019doi: 10.3934/mcrf.2019036 +[Abstract](233) +[HTML](102) +[PDF](467.23KB)
Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries
Damien Allonsius and Franck Boyer
2019doi: 10.3934/mcrf.2019037 +[Abstract](206) +[HTML](97) +[PDF](1848.14KB)
Free boundaries of credit rating migration in switching macro regions
Yuan Wu and Jin Liang
2019doi: 10.3934/mcrf.2019038 +[Abstract](197) +[HTML](104) +[PDF](1197.38KB)
On the exact controllability and the stabilization for the Benney-Luke equation
José R. Quintero and Alex M. Montes
2019doi: 10.3934/mcrf.2019039 +[Abstract](244) +[HTML](167) +[PDF](443.35KB)
Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme
Andrea Signori
2019doi: 10.3934/mcrf.2019040 +[Abstract](240) +[HTML](109) +[PDF](389.64KB)
Finite element error estimates for one-dimensional elliptic optimal control by BV-functions
Dominik Hafemeyer, Florian Mannel, Ira Neitzel and Boris Vexler
2019doi: 10.3934/mcrf.2019041 +[Abstract](274) +[HTML](134) +[PDF](551.88KB)
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](2549) +[PDF](316.6KB) Cited By(23)
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](2253) +[PDF](929.8KB) Cited By(18)
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](2575) +[PDF](467.3KB) Cited By(18)
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](2519) +[PDF](614.2KB) Cited By(13)
A deterministic linear quadratic time-inconsistent optimal control problem
Jiongmin Yong
2011, 1(1) : 83-118 doi: 10.3934/mcrf.2011.1.83 +[Abstract](3140) +[PDF](442.3KB) Cited By(12)
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](2542) +[PDF](637.9KB) Cited By(11)
Control of a Korteweg-de Vries equation: A tutorial
Eduardo Cerpa
2014, 4(1) : 45-99 doi: 10.3934/mcrf.2014.4.45 +[Abstract](2141) +[PDF](701.7KB) Cited By(11)
Global well-posedness and asymptotic behavior of a class of initial-boundary-value problem of the Korteweg-De Vries equation on a finite domain
Ivonne Rivas, Muhammad Usman and Bing-Yu Zhang
2011, 1(1) : 61-81 doi: 10.3934/mcrf.2011.1.61 +[Abstract](2886) +[PDF](455.9KB) Cited By(11)
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](2162) +[PDF](368.5KB) Cited By(10)
Stability estimates for a Robin coefficient in the two-dimensional Stokes system
Muriel Boulakia, Anne-Claire Egloffe and Céline Grandmont
2013, 3(1) : 21-49 doi: 10.3934/mcrf.2013.3.21 +[Abstract](2063) +[PDF](695.4KB) Cited By(8)
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](2459) +[HTML](801) +[PDF](617.03KB) PDF Downloads(226)
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](2096) +[HTML](663) +[PDF](403.95KB) PDF Downloads(196)
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](3067) +[HTML](513) +[PDF](434.73KB) PDF Downloads(171)
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](2594) +[HTML](1080) +[PDF](526.9KB) PDF Downloads(163)
On a logarithmic stability estimate for an inverse heat conduction problem
Aymen Jbalia
2019, 9(2) : 277-287 doi: 10.3934/mcrf.2019014 +[Abstract](1507) +[HTML](635) +[PDF](399.46KB) PDF Downloads(118)
Compact perturbations of controlled systems
Michel Duprez and Guillaume Olive
2018, 8(2) : 397-410 doi: 10.3934/mcrf.2018016 +[Abstract](2831) +[HTML](398) +[PDF](410.77KB) PDF Downloads(112)
Preface: A tribute to professor Eduardo Casas on his 60th birthday
Luis Alberto Fernández, Mariano Mateos, Cecilia Pola, Fredi Tröltzsch and Enrique Zuazua
2018, 8(1) : i-ii doi: 10.3934/mcrf.201801i +[Abstract](3449) +[HTML](317) +[PDF](93.68KB) PDF Downloads(110)
Second order optimality conditions for optimal control of quasilinear parabolic equations
Lucas Bonifacius and Ira Neitzel
2018, 8(1) : 1-34 doi: 10.3934/mcrf.2018001 +[Abstract](3854) +[HTML](343) +[PDF](640.17KB) PDF Downloads(108)
Decay rates for stabilization of linear continuous-time systems with random switching
Fritz Colonius and Guilherme Mazanti
2019, 9(1) : 39-58 doi: 10.3934/mcrf.2019002 +[Abstract](1852) +[HTML](769) +[PDF](467.0KB) PDF Downloads(102)
A partially observed non-zero sum differential game of forward-backward stochastic differential equations and its application in finance
Jie Xiong, Shuaiqi Zhang and Yi Zhuang
2019, 9(2) : 257-276 doi: 10.3934/mcrf.2019013 +[Abstract](1781) +[HTML](638) +[PDF](430.53KB) PDF Downloads(98)

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