Existence and attractivity of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients

By combining the theory of the exponential dichotomy and Liapunov function, we study the existence and attractivity of almost periodic solutions for cellular neural networks (CNNs) with distributed delays and variable coefficients dx(i)/dt = -b(i)(t)x(i)(t) + Sigma(j=1)(n) a(ij)(t)f(j)(x(j)(t)) + Sigma(j=1)(n) b(ij)(t)f(j)(mu(j) integral(0)(infinity) k(ij)(u)x(j)(t-u) du) + I-i(t). We obtain some sufficient conditions to ensure that for the networks there exists a unique almost periodic solution, and all its solutions converge to such an almost periodic solution. An example is given to illustrate that the conditions of our results are feasible. (C) 2002 Elsevier Science Inc. All rights reserved.