State-dependent impulsive synchronisation of complex dynamical networks with non-linear coupling Academic Article

abstract

• The Institution of Engineering and Technology 2018. This study investigates the synchronisation problem for complex dynamical networks with non-linear coupling via state-dependent impulsive control. In contrast to most existing publications, impulses occurring are not at fixed instants but depend on the states of each node. Based on the differential mean value theorem and inequality techniques, several sufficient conditions with theoretical demonstration ensuring every solution of the error nodes intersect each surface of the discontinuity exactly once are derived. Moreover, by applying the B-equivalence method, the error system with state-dependent impulses can be reduced to the fixed-time impulsive ones, which can be analysed via Lyapunov stability theory and mathematical induction. Finally, two numerical examples are carried out to demonstrate the performance of the obtained results.

authors

• Huang, Tingwen

published proceedings

• IET CONTROL THEORY AND APPLICATIONS

altmetric score

• 0.5

author list (cited authors)

• Yang, S., Li, C., & Huang, T.

citation count

• 11

complete list of authors

• Yang, Shiju||Li, Chuandong||Huang, Tingwen

publication date

• June 2018

publisher

• Institution of Engineering and Technology (IET)  Publisher

published in

• IET Control Theory and Applications  Journal

keywords

• B-equivalence Method
• Complex Dynamical Networks
• Complex Networks
• Differential Mean Value Theorem
• Inequality Techniques
• Lyapunov Methods
• Lyapunov Stability Theory
• Mathematical Induction
• Nonlinear Coupling
• State-dependent Impulsive Synchronisation

Digital Object Identifier (DOI)

• 10.1049/iet-cta.2017.0909

start page

• 1189

end page

• 1200

volume

• 12

issue

• 9

URL

• http://dx.doi.org/10.1049/iet-cta.2017.0909