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Guaranteed cost synchronization of chaotic cellular neural networks with time-varying delay. (English) Zbl 1237.92003
Summary: Synchronization of cellular neural networks with time-varying delays is discussed. Based on the Razumikhin theorem, a guaranteed cost synchronous controller is given. Unlike the Lyapunov-Krasovskii analysis process, there is no constraint on the change rate of time delays. The saturated terms emerging in the Razumikhin analysis are amplified by a zoned discussion and maximax synthesis rather than by the Lipschitz condition and vector inequality, which will bring more conservatism. Then the controller criterion is transformed from a quadratic matrix inequality form into a linear matrix inequality form, with the help of a sufficient and necessary transformation condition. The minimization of the guaranteed cost is studied, and a further criterion for getting the controller is presented. Finally, the guaranteed cost synchronous control and its corresponding minimization problem are illustrated with examples of chaotic time-varying delays cellular neural networks.
92B20General theory of neural networks (mathematical biology)
68T05Learning and adaptive systems
15B99Special matrices