Improved Global Robust Asymptotic Stability Criteria for Delayed Cellular Neural Networks
Siyuan Xu, James Lam, Daniel W. C. Ho, Yun Zou · IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics) · 2005
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.