A 2D NEURAL-NETWORK WITH APPLICATION TO SOLVING A CLASS OF MATRIX EQUATIONS

This paper presents a 2D neural network with application to solving a class of matrix equations. We show both analytically and by simulation s that this neural network is guaranteed to be stable and to provide r esults arbitrarily close to the accurate solutions of the matrix equat ions within an elapsed time of only a few characteristic time constant s of the network. Parameters such as the interconnection strengths and bias currents of this proposed network can be obtained from the known matrices of the matrix equations without any computations.