Global Mittag-Leffler Synchronization of Fractional-Order Neural Networks Via Impulsive Control Academic Article

abstract

• 2017, Springer Science+Business Media, LLC. This paper aims at analyzing the impulsive synchronization of fractional-order neural works. Firstly, in view of control theory, by constructing a suitable impulsive response system with the designed controller, the synchronization error system between the drive system and the corresponding response system is given. Afterwards, based on the theory of impulsive differential equation, the theory of fractional differential equation, Lyapunov direct method, and inequality techniques, some effective sufficient criteria are established to guarantee the global Mittag-Leffler stability for the synchronization error system. Finally, several simulation examples are designed to demonstrate the effectiveness and feasibility of the obtained results.

authors

• Huang, Tingwen

published proceedings

• NEURAL PROCESSING LETTERS

author list (cited authors)

• Yang, X., Li, C., Huang, T., Song, Q., & Huang, J.

citation count

• 25

complete list of authors

• Yang, Xujun||Li, Chuandong||Huang, Tingwen||Song, Qiankun||Huang, Junjian

publication date

• August 2018

publisher

• Springer Nature  Publisher

published in

• Neural Processing Letters  Journal

keywords

• Fractional-order Neural Networks
• Impulse
• Lyapunov Direct Method
• M-matrix
• Mittag-leffler Synchronization

Digital Object Identifier (DOI)

• 10.1007/s11063-017-9744-x

start page

• 459

end page

• 479

volume

• 48

issue

• 1

URL

• http://dx.doi.org/10.1007/s11063-017-9744-x