Optimal control of stochastic FitzHugh-Nagumo equation

被引:22
|
作者
Barbu, Viorel [1 ]
Cordoni, Francesco [2 ]
Di Persio, Luca [3 ]
机构
[1] Alexandru Ioan Cuza Univ, Iasi, Romania
[2] Univ Trento, Dept Math, Trento, Italy
[3] Univ Verona, Dept Comp Sci, I-37100 Verona, Italy
关键词
stochastic FitzHugh-Nagumo equation; stochastic optimal control; Stochastic differential equations; Ekeland variational principle; existence uniqueness optimal control; EXISTENCE;
D O I
10.1080/00207179.2015.1096023
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper is concerned with the existence and uniqueness of solution for the optimal control problem governed by the stochastic FitzHugh-Nagumo equation driven by a Gaussian noise. First-order conditions of optimality are also obtained.
引用
下载
收藏
页码:746 / 756
页数:11
相关论文
共 50 条
  • [31] New exact solutions to the Fitzhugh-Nagumo equation
    Li, Huaying
    Guo, Yucui
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 180 (02) : 524 - 528
  • [32] DELAYED OSCILLATION PHENOMENA IN THE FITZHUGH-NAGUMO EQUATION
    SU, JZ
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1993, 105 (01) : 180 - 215
  • [33] RANDOM PERTURBATIONS OF THE REDUCED FITZHUGH-NAGUMO EQUATION
    TUCKWELL, HC
    PHYSICA SCRIPTA, 1992, 46 (06): : 481 - 484
  • [34] Parameter dependence of stochastic resonance in the stochastic FitzHugh-Nagumo neuron
    Lee, SG
    Kim, S
    STOCHASTIC DYNAMICS AND PATTERN FORMATION IN BIOLOGICAL AND COMPLEX SYSTEMS, 2000, 501 : 250 - 259
  • [35] Stochastic excitation and synchronization in coupled FitzHugh-Nagumo elements
    Luchinsky, DG
    McClintock, PVE
    Polovinkin, AV
    Osipov, GV
    NOISE IN COMPLEX SYSTEMS AND STOCHASTIC DYNAMICS, 2003, 5114 : 301 - 308
  • [36] SYNCHRONIZATION OF THE STOCHASTIC FITZHUGH-NAGUMO EQUATIONS TO PERIODIC FORCING
    LONGTIN, A
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS, 1995, 17 (7-8): : 835 - 846
  • [37] Approximate controllability of the FitzHugh-Nagumo equation in one dimension
    Chowdhury, Shirshendu
    Biswas, Mrinmay
    Dutta, Rajib
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (07) : 3497 - 3563
  • [38] Tension spline method for solution of Fitzhugh-Nagumo equation
    Shekarabi, H. S.
    Aqamohamadi, M.
    Rashidinia, J.
    TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2018, 172 (03) : 571 - 581
  • [39] Haar wavelet method for solving FitzHugh-Nagumo equation
    Hariharan, G.
    Kannan, K.
    World Academy of Science, Engineering and Technology, 2010, 43 : 560 - 564
  • [40] Haar wavelet method for solving FitzHugh-Nagumo equation
    Hariharan, G.
    Kannan, K.
    World Academy of Science, Engineering and Technology, 2010, 67 : 560 - 564