Title :
Estimation of the basin of attractions in CNNs
Author :
Mladenov, V.M. ; Leenaerts, D.M.W. ; Uhlmann, F.H.
Author_Institution :
Inst. fur Allgem. und Theor. Elektrotech., Tech. Hochschule Ilmenau, Germany
fDate :
5/1/1998 12:00:00 AM
Abstract :
A technique is discussed in order to find an estimation of the basin of attraction for each stable equilibrium point in cellular neural networks. The technique is based on the determination of the direction of the trajectories for each of the regions in which the state space is divided via the piecewise linear output function of each cell
Keywords :
asymptotic stability; cellular neural nets; estimation theory; piecewise-linear techniques; state-space methods; CNN; basin of attractions; cellular neural networks; estimation; piecewise linear output function; stable equilibrium point; Books; Cellular neural networks; Chaos; Intelligent networks; Neural networks; Nonlinear dynamical systems; Orbits; Piecewise linear techniques; State estimation; State-space methods;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on