Abstract
Abstract This paper studies synchronization and exponential synchronization of reaction-diffusion neural networks based on semi-linear coupled partial differential equations-ordinary differential equations. Two kinds of boundary control methods are studied, one collocated boundary measurement based form and the other distributed measurement based form. Sufficient conditions for existence of the two proposed boundary controllers for synchronization and exponential synchronization are respectively obtained in terms of LMIs. Two examples are given to show the effectiveness of the proposed boundary control.
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