关键词: 异结构, 细胞神经网络, LyapunovKrasovskii泛函, 混沌同步, 保密通信

Abstract:

The traditional signal encryption methods are easily attacked so as to be destroyed because of the lack of keys. Owning a well pseudorandomness and a wealth of system parameters, chaotic systems make up for the deficiencies of the traditional encryption. The complex dynamics spatial characteristics of chaotic system with delays make it ideal for signal encryption. Synchronization control of chaotic system with delays is used to achieve ideal secret communication. Cellular neural networks’ structures are more complex than usual chaotic systems and they have higher system dimensions. Chaotic cellular neural networks systems with heterogeneous structures, respectively, act as the drive and response of the synchronization system. The error system between the drive and response is obtained to substitute into a suitable LyapunovKrasovskii functional and this functional is analyzed on stability. An effective synchronous controller is designed and numerical simulations verify its effectiveness. The synchronization system is further used in signal and image secret communications, and its results are very good.

Key words: heterogeneous structure;cellular neural networks;LyapunovKrasovskii functional;chaotic synchronization;secret communication