Journal of Guangxi Teachers Education University (Philosophy and Social Sciences Edition) ›› 2019, Vol. 37 ›› Issue (3): 106-110.doi: 10.16088/j.issn.1001-6600.2019.03.012

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Random Dynamics for Stochastic Delay Lattice Systems in Xρ Space

ZHANG Yijin1,2   

  1. 1.Chongqing Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;
    2.Key Laboratory of Industrial Internetof Things and Networked Control, Ministry of Education, Chongqing University of Posts and Telecommunications,Chongqing 400065, China
  • Published:2019-07-12

Abstract: The dynamics of a class of stochastic lattice dynamical systems with time delay driven by additive white noise is studied. Xρ space is introduced, basic equalities, Young inequality, Gronwall inequality and Schwarz inequality are applied. The existence, uniqueness and continuous dependence on the initial data of solutions to the stochastic delay lattice equations with additive noise are presented. Then a continuous infinite dimensional random dynamical system generated by the solutions is obtained.

Key words: random dynamical system, delay equation, lattice systems, continuous dependence, dynamics

CLC Number: 

  • O175.2
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