State Estimation for a Class of Nonlinear Differential Games using Differential Neural Networks

被引:0
|
作者
Garcia, Emmanuel [1 ]
Murano, Daishi A. [1 ]
机构
[1] ITESM CEM, Dept Mech & Mechatron, Atizapan De Zaragoza 52926, State Of Mexico, Mexico
关键词
Differential games; dynamic neural networks; state observers;
D O I
暂无
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 deals with the problem of the state estimation for a certain class of nonlinear differential games, where the mathematical model of this class is completely unknown. Being thus, a Luenberger-like differential neural network observer is applied and a new learning law for its synaptic weights is suggested. Furthermore, by means of a Lyapunov stability analysis, the stability conditions for the state estimation error are established and the upper bound of this error is obtained. Finally, a numerical example illustrates the applicability of this approach.
引用
收藏
页码:2486 / 2491
页数:6
相关论文
共 50 条
  • [1] Differential Neural Networks for Identification and Filtering in Nonlinear Dynamic Games
    Garcia, Emmanuel
    Alfredo Murano, Daishi
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [2] Approximate Solutions to a Class of Nonlinear Differential Games
    Mylvaganam, T.
    Sassano, M.
    Astolfi, A.
    [J]. 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, : 6489 - 6494
  • [3] Trajectory Tracking based on Differential Neural Networks for a Class of Nonlinear Systems
    Perez-Cruz, J. Humberto
    Poznyak, Alexander
    [J]. 2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 2940 - 2945
  • [4] State identification for a class of uncertain switched systems by differential neural networks
    Chairez, Isaac
    Garcia-Gonzalez, Alejandro
    Luviano-Juarez, Alberto
    [J]. NETWORK-COMPUTATION IN NEURAL SYSTEMS, 2024, 35 (03) : 213 - 248
  • [5] Approximate Solutions to a Class of Nonlinear Stackelberg Differential Games
    Mylvaganam, T.
    Astolfi, A.
    [J]. 2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 420 - 425
  • [6] Solving Nonlinear Ordinary Differential Equations Using Neural Networks
    Parapari, Hamed Fathalizadeh
    Menhaj, MohammadBagher
    [J]. 2016 4TH INTERNATIONAL CONFERENCE ON CONTROL, INSTRUMENTATION, AND AUTOMATION (ICCIA), 2016, : 351 - 355
  • [7] Approximate Solutions to a Class of Nonlinear Differential Games Using a Shared Dynamic Extension
    Mylvaganam, T.
    Sassano, M.
    Astolfi, A.
    [J]. 2013 EUROPEAN CONTROL CONFERENCE (ECC), 2013, : 710 - 715
  • [8] CLASS OF DIFFERENTIAL GAMES
    MEZENTSEV, AV
    [J]. ENGINEERING CYBERNETICS, 1971, 9 (06): : 975 - +
  • [9] The estimation of parameters for stochastic differential equations using neural networks
    Xie, Z.
    Kulasiri, D.
    Samarasinghe, S.
    Rajanayaka, C.
    [J]. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2007, 15 (06) : 629 - 641
  • [10] NONLINEAR DIFFERENTIAL GAMES
    KERIMOV, AK
    [J]. IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK, 1976, (02): : 37 - 41