【摘 要】
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This paper focuses on the investigation of asymptotic multistability and on local S-asymptoticω-periodicity for nonautonomous fractional-order neural networks(
【机 构】
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Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai 264209, China
论文部分内容阅读
This paper focuses on the investigation of asymptotic multistability and on local S-asymptoticω-periodicity for nonautonomous fractional-order neural networks(FONNs)with impulses.Several criteria on the existence,uniqueness,and invariant sets of nonautonomous FONNs with impulses are derived by constructing convergent sequences and comparison principles,respectively.In addition,using the Lyapunov direct method,some novel conditions of boundedness and local asymptotic stability of the FONNs discussed are obtained.Also,the sufficient conditions for local S-asymptotic ω-periodicities of the system are pre-sented.Finally,a discussion using two examples verifies the validity of our findings,which imply that global asymptotic stability is a special case of asymptotic multistability.
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