Research on synchronization of complex network with double delayed and double non-delayed coupling
Zhou Xua · Computer Engineering and Applications Journal · 2015
In order to fit a broader application scope, the outer synchronization problem of a complex dynamical network with double non-delayed and double delayed coupling is investigated. Unlike most studies, the paper do not add any restrictions to coupling matrix. Based on Lyapunov stability theory combined with the descriptor model transformation, the decomposition technique of coefficient matrix and the methods of the free-weighting matrix, a novel synchronization condition is derived and expressed in the form of matrix inequalities. The linear feedback synchronization controllers are designed.Two examples with different topological structures are presented to the demonstrate the feasibility and effiectiveness of the results.