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This paper studies the global periodicity of cellular neural network with impulses and time-delay. A stability criterion, which guarantees the existence and global exponential stability of periodic solution, is established. A numerical example is given to illustrate the effectiveness of our results.
The switched system composed of several linear time-delay systems is considered. The problem is to find the constraint conditions on subsystems and switching sequences to preserve the exponential stability. The multiple Lyapunov functions approach is generalized to the time-delay case, it is verified that the specified stability criterion for subsystems implies the exponential stability of whole system...
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