GERSHGORIN CIRCLES ASSOCIATED TO DOUBLE GRID SECOND ORDER CELLULAR NEURAL NETWORKS
Iolanda Alecsandrescu, Liviu Goraş · 2008
The stability of variable parameters double grid second order cell Cellular Neural Networks (CNN's) linearized in the central linear part of the cell characteristic is investigated by means of Gershgorin's theorem using spatial domain as well as spatial-frequency domain descriptions. It is shown that the stability margins towards the right-hand side of the complex plane are identical within both approaches and are larger than expected according to simulations. A conjecture regarding the limits of the characteristic polynomials roots is made and verified through simulations.