title: Projective synchronization for fractional neural networks.
abstract: In this paper, the global projective synchronization of fractional-order neural networks is investigated. First, a sufficient condition in the sense of Caputo's fractional derivation to ensure the monotonicity of the continuous and differential functions and a new fractional-order differential inequality are derived, which play central roles in the investigation of the fractional adaptive control. Based on the preparation and some analysis techniques, some novel criteria are obtained to realize projective synchronization of fractional-order neural networks via combining open loop control and adaptive control. As some special cases, several control strategies are given to ensure the realization of complete synchronization, anti-synchronization and the stabilization of the addressed neural networks. Finally, an example with numerical simulations is given to show the effectiveness of the obtained results.
authors.affiliation: College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, PR China. Electronic address: yujuanseesea@163.com.
authors.forename: Juan
authors.initials: J
authors.lastname: Yu
authors.forename: Cheng
authors.initials: C
authors.lastname: Hu
authors.forename: Haijun
authors.initials: H
authors.lastname: Jiang
authors.forename: Xiaolin
authors.initials: X
authors.lastname: Fan
mesh_terms: D000465:Algorithms; D001499:Bayes Theorem; D016208:Databases, Factual; D008959:Models, Neurological; D016571:Neural Networks, Computer; D009474:Neurons; D016011:Normal Distribution; D010363:Pattern Recognition, Automated; D059629:Signal-To-Noise Ratio
keywords: Fractional adaptive control; Fractional-order; Neural network; Projective synchronization