Title :
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
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;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2015.2436191
