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A set of stability criteria for delayed cellular neural networks

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1 Author(s)
Jinde Cao ; Dept. of Appl. Math., Southeast Univ., Nanjing, China

This work presents a set of criteria on the global asymptotic stability of delayed cellular neural networks (DCNN) by constructing suitable Lyapunov functionals, introducing ingeniously real parameters w i>0, α*ij, β* ij, η*ij, ζ*ij , αij, βij, ηij, ζij∈R with α*ij*ij=1, αijij=1, η*ij*ij=1, η ijij=1(i, j=1, 2, ..., n) and combining with elementary inequality technique 2ab⩽a2+b2. These criteria are of theoretical and applicable important significance in signal processing, especially in speed detection of moving objects, processing of moving images and the design of networks since they possess infinitely adjustable real parameters. This result is also discussed from the point of view of its relationship to earlier results

Published in:

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications  (Volume:48 ,  Issue: 4 )