Name
Abstract | ||
|---|---|---|
The aim of this paper is to show that discrete time Generalized Cellular Neural Networks, with feedforward, feedback or cascade interconnections between CNNs can be represented as NLqs. NL qs are nonlinear systems in state space form with the typical feature of having a number of q layers with alternating linear and nonlinear operators that satisfy a sector condition. It can be shown that many systems and problems arising in neural networks, systems and control are special cases of NLqs. Sufficient conditions for global asymptotic stability and dissipativity with finite L2-gain are available. For q=1 the criteria are closely related to known results in H∞ and μ control theory |
Year | DOI | Venue |
|---|---|---|
1995 | 10.1109/ISCAS.1995.521596 | Circuits and Systems, 1995. ISCAS '95., 1995 IEEE International Symposium |
Keywords | Field | DocType |
asymptotic stability,cellular neural nets,feedforward neural nets,recurrent neural nets,state-space methods,cascade interconnections,dissipativity,feedback interconnections,feedforward interconnections,generalized cellular neural networks,global asymptotic stability,nonlinear systems,sector condition,state space form | Nonlinear system,Control theory,State-space representation,Exponential stability,Cascade,Discrete time and continuous time,Artificial neural network,Cellular neural network,Mathematics,Feed forward | Conference |
Volume | ISSN | ISBN |
1 | 0277-674X | 0-7803-2570-2 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Johan A. K. Suykens | 1 | 635 | 53.51 |
| Joos Vandewalle | 2 | 4420 | 523.42 |