Robust Stability of Switched Cohen–Grossberg Neural Networks With Mixed Time-Varying Delays
Kun Yuan, Jinde Cao, Han‐Xiong Li · IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics) · 2006
By combining Cohen-Grossberg neural networks with an arbitrary switching rule, the mathematical model of a class of switched Cohen-Grossberg neural networks with mixed time-varying delays is established. Moreover, robust stability for such switched Cohen-Grossberg neural networks is analyzed based on a Lyapunov approach and linear matrix inequality (LMI) technique. Simple sufficient conditions are given to guarantee the switched Cohen-Grossberg neural networks to be globally asymptotically stable for all admissible parametric uncertainties. The proposed LMI-based results are computationally efficient as they can be solved numerically using standard commercial software. An example is given to illustrate the usefulness of the results.