TY - JOUR
T1 - Improved global robust asymptotic stability criteria for delayed cellular neural networks
AU - Xu, Shengyuan
AU - Lam, James
AU - Ho, Daniel W.C.
AU - Zou, Yun
PY - 2005/12
Y1 - 2005/12
N2 - This paper considers the problem of global robust stability analysis of delayed cellular neural networks (DCNNs) with norm-bounded parameter uncertainties. In terms of a linear matrix inequality, a new sufficient condition ensuring a nominal DCNN to have a unique equilibrium point which is globally asymptotically stable is proposed. This condition is shown to be a generalization and improvement over some previous criteria. Based on the stability result, a robust stability condition is developed, which contains an existing robust stability result as a special case. An example is provided to demonstrate the reduced conservativeness of the proposed results. © 2005 IEEE.
AB - This paper considers the problem of global robust stability analysis of delayed cellular neural networks (DCNNs) with norm-bounded parameter uncertainties. In terms of a linear matrix inequality, a new sufficient condition ensuring a nominal DCNN to have a unique equilibrium point which is globally asymptotically stable is proposed. This condition is shown to be a generalization and improvement over some previous criteria. Based on the stability result, a robust stability condition is developed, which contains an existing robust stability result as a special case. An example is provided to demonstrate the reduced conservativeness of the proposed results. © 2005 IEEE.
KW - Cellular neural network
KW - Global asymptotic stability
KW - Linear matrix inequality
KW - Parameter uncertainty
KW - Robust stability
KW - Time delays
UR - http://www.scopus.com/inward/record.url?scp=29144475136&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-29144475136&origin=recordpage
U2 - 10.1109/TSMCB.2005.851539
DO - 10.1109/TSMCB.2005.851539
M3 - RGC 21 - Publication in refereed journal
C2 - 16366256
SN - 1083-4419
VL - 35
SP - 1317
EP - 1321
JO - IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
JF - IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IS - 6
ER -