Adaptive Synchronization of Complex Dynamical Networks with State Predictor
Author(s) -
Yuntao Shi,
Bo Liu,
Xiao Han
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/394137
Subject(s) - synchronization (alternating current) , convergence (economics) , computer science , control theory (sociology) , nonlinear system , state (computer science) , nonlinear dynamical systems , lyapunov function , coupling (piping) , complex network , adaptive strategies , dynamical systems theory , synchronization networks , mathematical optimization , mathematics , algorithm , artificial intelligence , physics , control (management) , engineering , telecommunications , mechanical engineering , channel (broadcasting) , archaeology , quantum mechanics , world wide web , economics , history , economic growth
This paper addresses the adaptive synchronization of complex dynamical networks with nonlinear dynamics. Based on the Lyapunov method, it is shown that the network can synchronize to the synchronous state by introducing local adaptive strategy to the coupling strengths. Moreover, it is also proved that the convergence speed of complex dynamical networks can be increased via designing a state predictor. Finally, some numerical simulations are worked out to illustrate the analytical results
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom