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Assembly and Characterization of Biomolecular Memristors Consisting of Ion Channel-doped Lipid Membranes
Published on: March 9, 2019
Complete synchronization and finite-time synchronization of Caputo-Hadamard fractional-order memristive BAM neural
Yang Li1, Hong-Li Li1, Long Zhang1
1College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, China.
Abstract:
This paper investigates complete synchronization (CS) and finite-time synchronization (F-TS) issues for a novel class of delayed Caputo-Hadamard memristive bidirectional associative memory neural networks (MBAMNNs). Firstly, a novel inequality lemma is established based on the basic theory of fractional calculus and proof by contradiction. Further, by integrating the inequality approach with the Lyapunov function method, several verifiable sufficient conditions are derived to guarantee CS and F-TS of MBAMNNs under the hybrid controller and discontinuous nonlinear controller. In addition, the settling time associated with F-TS is estimated. Eventually, numerical simulations are carried out to verify the validity and feasibility of the derived theoretical findings. Further simulations explore the influences of fractional order γ and time delay τ on CS error, as well as the impact of control gain q on F-TS error.
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