Periodic solutions for nonautonomous discrete-time neural networks

Periodic solutions for nonautonomous discrete-time neural networks

In this paper, we theoretically prove the existence of periodic solutions for a nonautonomous discrete-time neural networks by using the topological degree theory. Sufficient conditions are also obtained for the existence of an asymptotically stable periodic solution. As a special case, we obtain the existence of a fixed point to the corresponding autonomous discrete-time neural networks which ...

Multiple Almost Periodic Solutions in Nonautonomous Delayed Neural Networks

A general methodology that involves geometric configuration of the network structure for studying multistability and multiperiodicity is developed. We consider a general class of nonautonomous neural networks with delays and various activation functions. A geometrical formulation that leads to a decomposition of the phase space into invariant regions is employed. We further derive criteria unde...

Anti-periodic solutions for BAM neural networks with time delays

FINITE-TIME PASSIVITY OF DISCRETE-TIME T-S FUZZY NEURAL NETWORKS WITH TIME-VARYING DELAYS

This paper focuses on the problem of finite-time boundedness and finite-time passivity of discrete-time T-S fuzzy neural networks with time-varying delays. A suitable Lyapunov--Krasovskii functional(LKF) is established to derive sufficient condition for finite-time passivity of discrete-time T-S fuzzy neural networks. The dynamical system is transformed into a T-S fuzzy model with uncertain par...

Pseudo Almost Periodic Sequence Solutions of Discrete Time Cellular Neural Networks

The theory of almost periodic functions was introduced by Harald Bohr during 1924–1926. In his study of Dirichlet series he developed the notion of a uniformly almost periodic functions. Later, Bochner extended Bohr’s theory to general abstract spaces. Almost periodic functions have been widely treated by Favard, Levitan [1] and Besicovich [2] in their monographs. Amerio [3] extended certain re...