zbMATH — the first resource for mathematics

Exponential stability analysis of stochastic delayed cellular neural network. (English) Zbl 1084.68099
Summary: The stability of stochastic delayed cellular neural networks are studied. Via the Lyapunov function method and some analysis techniques, we obtain some new criteria of exponential 1-stability and mean square exponential stability.

68T05 Learning and adaptive systems in artificial intelligence
34K20 Stability theory of functional-differential equations
34K50 Stochastic functional-differential equations
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
Full Text: DOI
[1] Chua, L.O.; Yang, L., Cellular neural network: theory and applications, IEEE trans circ syst, 35, 10, 1257-1290, (1988)
[2] Chua, L.O.; Ruska, T., Cellular neural networks with nonlinear and delay-type template elements and non-uniform grids, Int. J. circ. theory appl., 20, 449-451, (1992)
[3] Liao, X.X., Mathematical theory or cellular networks (1), Science in China (A), 24, 9, 902-910, (1994)
[4] Lu, H.T.; He, Zh.Y., Unconditioned stability of cellular neural networks with delay, Acta electronica sinica, 25, 1, 1-4, (1997)
[5] Cao, J.D.; Zhou, D.M., Stability analysis of delayed cellular neural networks, Neural networks, 11, 9, 1601-1605, (1998)
[6] Sabri, A., An improved global stability result for delayed cellular neural networks, IEEE trans. circ. syst.-I: fundam.theory appl., 49, 8, 1211-1214, (2002) · Zbl 1368.34083
[7] Cao, J.D., A set of stability criteria for delayed cellular neural networks, IEEE trans. circ. syst.-I: fundam. theory appl., 49, 8, (2002)
[8] Liao, X.X., Theory and application of stability for dynamical systems, (2000), National Defence Industry Press Beijing · Zbl 0949.60068
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.