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Published on: March 2, 2015
Finite-time synchronization of quaternion-valued neural networks with delays: A switching control method without
Tao Peng1, Jie Zhong2, Zhengwen Tu3
1Department of Systems Science, School of Mathematics, Southeast University, Nanjing 210096, China; School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404100, China.
Abstract:
For a class of quaternion-valued neural networks (QVNNs) with discrete and distributed time delays, its finite-time synchronization (FTSYN) is addressed in this paper. Instead of decomposition, a direct analytical method named two-step analysis is proposed. That method can always be used to study FTSYN, under either 1-norm or 2-norm of quaternion. Compared with the decomposing method, the two-step method is also suitable for models that are not easily decomposed. Furthermore, a switching controller based on the two-step method is proposed. In addition, two criteria are given to realize the FTSYN of QVNNs. At last, three numerical examples illustrate the feasibility, effectiveness and practicability of our method.
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