Title :
Temporal and spatial stability in translation invariant linear resistive networks
Author_Institution :
Inst. of Fundamental Technol. Res., Polish Acad. of Sci., Warsaw, Poland
fDate :
5/1/1997 12:00:00 AM
Abstract :
Simple algebraic methods are proposed to evaluate the temporal and spatial stability of translation invariant linear resistive networks. Temporal stability is discussed for a finite number of nodes n. The proposed method evaluates stability of a Toeplitz pencil An(a)+μBn(b) in terms of parameters ai and bi. In many cases a simple method allows one to verify positive definition of Bn(b) in terms of bi only
Keywords :
Toeplitz matrices; circuit stability; computer vision; eigenvalues and eigenfunctions; neural chips; Toeplitz matrix; eigenvalues; image processing; neural chips; neural networks; nodes; spatial stability; temporal stability; translation invariant linear resistive networks; Asymptotic stability; Capacitors; Circuit stability; Eigenvalues and eigenfunctions; Image processing; Intelligent networks; Manufacturing processes; Numerical stability; Stability criteria; Symmetric matrices;
Journal_Title :
Neural Networks, IEEE Transactions on
