Title :
Necessary and sufficient conditions for one-dimensional discrete-time binary cellular neural network with nonsymmetric connections to be stable
Author :
Hara, Hajime ; Takahashi, Norikazu ; Nishi, Tetsuo
Author_Institution :
Dept. of Electron. & Photonic Syst. Eng., Hiroshima Inst. of Technol., Japan
Abstract :
We give the necessary and sufficient conditions for a one-dimensional discrete-time binary cellular neural networks with non-symmetric connection to be stable. The results are complete generalization of our previous one, in which the symmetrical connections were assumed. The conditions are compared with the stability condition recently derived by the authors.
Keywords :
cellular neural nets; set theory; discrete time binary cellular neural networks; necessary conditions; nonsymmetric connections; one dimensional neural networks; set theory; stability condition; sufficient conditions; symmetrical connections; Cellular neural networks; Computer science; Equations; Limit-cycles; Neural networks; Photonics; Signal processing; Stability; Sufficient conditions; Systems engineering and theory;
Conference_Titel :
Circuits and Systems, 2004. MWSCAS '04. The 2004 47th Midwest Symposium on
Print_ISBN :
0-7803-8346-X
DOI :
10.1109/MWSCAS.2004.1354009
