Global Asymptotic Stability of Periodic Solutions for Neutral-Type Delayed BAM Neural Networks by Combining an Abstract Theorem of k-Set Contractive Operator with LMI Method

摘要

The paper considers the existence and global asymptotic stability of periodic solutions for a class of neutral-type BAM neural networks with time delays. By combining an abstract theorem of k-set contractive operator with LMI method as well as inequality techniques, a sufficient condition to guarantee the existence of periodic solutions for the above neutral-type BAM neural networks with time delays is established. Then by combining LMI method with inequality techniques, a sufficient condition of the global asymptotic stability of periodic solutions for the above neutral-type BAM neural networks is obtained. Our method and results on periodic solutions for the above neural networks are new and complementary to the existing papers.