Practical fixed-time cluster synchronization of quaternion-valued neural networks under DoS attacks
The practical fixed-time cluster synchronization is investigated for quaternion-valued neural networks being disturbed under DoS(Denial-of-Service)attacks.a novel fixed-time stability lemma is given and a new controller is designed as well.Some sufficient conditions for achieving practical fixed-time cluster synchronization of quaternion-valued neural networks under DoS attacks are obtained.A quaternion-valued signum function is introduced to avoid the decomposition of the original quaternion-valued neural networks into four real-valued subsystems and thus re-solve the issue of practical fixed-time cluster synchronization of quaternion-valued neural networks.Finally,the ef-fectiveness of the theoretical results is verified through a numerical example.
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