New Global Synchronization Analysis for Complex Networks with Coupling Delay | Zendy

Jinfang Zhang | Zendy; Yuanhua Qiao | Zendy; Jun Miao | Zendy; Lijuan Duan | Zendy; Yanjun Zeng | Zendy

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New Global Synchronization Analysis for Complex Networks with Coupling Delay

Author(s) -

Jinfang Zhang,

Yuanhua Qiao,

Jun Miao,

Lijuan Duan,

Yanjun Zeng

Publication year - 2014

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 - 10.1155/2014/623249

Subject(s) - kronecker product , synchronization (alternating current) , derivative (finance) , control theory (sociology) , synchronization networks , mathematics , constant (computer programming) , computer science , coupling (piping) , topology (electrical circuits) , kronecker delta , control (management) , mechanical engineering , physics , combinatorics , quantum mechanics , artificial intelligence , financial economics , engineering , economics , programming language

Global synchronization analysis for complex networks with coupling delay is investigated. Firstly the constant time delay is analyzed and then the case for time-varying delay is considered. Sufficient conditions for network synchronization are given based on Lyapunov functional, linear matrix inequality, and Kronecker product technique. The unknown variables in the sufficient conditions are fewer than those in the recent reference. Moreover, for the time-varying delay case, we find that the conditions are dependent on the bounds of both time delay and its derivative, and the derivative of the time-varying delay can be any value in the bounds. Finally, numerical examples are given to validate the effectiveness of the obtained results

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