Research Article

Synchronization in Finite Time of Fuzzy Neural Networks with Hybrid Delays and Uncertain Nonlinear Perturbations

Table 1

The meanings of sets, parameters, and vectors.

Meaning

Set
The set of all the real numbers
The set of all positive real numbers
The set of all n-dimensional real vectors

Vector
The state vector of neurons in the drive system at time
The state vector of neurons in the response system at time
The state vector of neurons in the error system at time
Control input
The nonlinear vector contains parametric perturbations and other external disturbances

Parameters
nThe number of neurons in networks
The positive constant
Connection weight of the feedback template
Connection weight of the feed-forward template
The elements of the fuzzy feed-forward MIN/MAX template
The elements of the discrete fuzzy feedback MIN/MAX template
The elements of the distributed fuzzy feedback MIN/MAX template
Fuzzy AND/OR operation
Input and bias of the th neuron
The discrete time-varying delays
The distributed time-varying delays
The activation functions of the th neuron