Existence of almost periodic solutions for impulsive cellular neural networks (Q1011060)

From MaRDI portal





scientific article; zbMATH DE number 5541266
Language Label Description Also known as
English
Existence of almost periodic solutions for impulsive cellular neural networks
scientific article; zbMATH DE number 5541266

    Statements

    Existence of almost periodic solutions for impulsive cellular neural networks (English)
    0 references
    7 April 2009
    0 references
    The problem of existence of almost periodic solutions and exponential stability of the system of impulsive Hopfield neural networks with distributed delays \[ \dot{x}(t)=\sum_{j=1}^n a_{ij}(t)+\sum_{j=1}^n b_{ij}(t)f_j (\mu_{j}\int_0^{\infty}k_{ij}x_j(t-u)du)+\gamma_j(t),\quad t\not=\tau_k, \] \[ \Delta x(t)=A_kx(t)+I_k(x(t))+\alpha_k,\quad t=\tau_k, k\in Z \] is investigated.
    0 references
    almost periodic solutions
    0 references
    impulses
    0 references
    cellular neural networks
    0 references
    0 references

    Identifiers