Ultimate Boundedness of Nonautonomous Dynamical Complex Networks Under Impulsive Control

Author

Danhua He ; Liguang Xu

Author_Institution

Dept. of Math., Zhejiang Int. Studies Univ., Hangzhou, China

Volume

62

Issue

10

fYear

2015

Firstpage

997

Lastpage

1001

Abstract

This brief is concerned with the ultimate boundedness problem of nonautonomous complex networks with different dynamical nodes by using the impulsive control method. Some ultimate boundedness and asymptotical stability criteria for the nonautonomous complex networks with different dynamical nodes under impulsive control are obtained by using Lyapunov functions. The results show not only that unstable systems can be stable under impulsive control but also that unbounded systems can be bounded under impulsive control. An example is also discussed to illustrate the effectiveness of the obtained results.

Keywords

Lyapunov methods; asymptotic stability; small-world networks; Lyapunov function; asymptotical stability; impulsive control method; nonautonomous dynamical complex network; small-world network; ultimate boundedness; Asymptotic stability; Circuits and systems; Complex networks; Stability criteria; Synchronization; Trajectory; Impulsive control; Non-autonomous complex networks; impulsive control; nonautonomous complex networks; ultimate boundedness;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2015.2436191

Filename

7111297