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Guaranteed cost control for exponential synchronization of cellular neural networks with mixed time-varying delays via hybrid feedback control. (English) Zbl 1271.93064
Summary: The problem of guaranteed cost control for exponential synchronization of cellular neural networks with interval non-differentiable and distributed time-varying delays via hybrid feedback control is considered. The interval time-varying delay function is not necessary to be differentiable. The construction of improved Lyapunov-Krasovskii functionals is based on Leibniz-Newton’s formula and methods of dealing with some integral terms. New delay-dependent sufficient conditions for the exponential synchronization of the error systems with memoryless hybrid feedback control are first established in terms of LMIs without introducing any free-weighting matrices. The optimal guaranteed cost control with linear error hybrid feedback is turned into the solvable problem of a set of LMIs. A numerical example is also given to illustrate the effectiveness of the proposed method.
MSC:
93B52Feedback control
92B20General theory of neural networks (mathematical biology)
93D30Scalar and vector Lyapunov functions
49N90Applications of optimal control and differential games