Synchronization criteria for singular complex dynamical networks with delayed coupling and non-delayed coupling. (English) Zbl 1299.93104
Summary: By using Lyapunov-Krasovskii functional approach, we derive novel synchronization criteria in the form of linear matrix inequalities for singular complex dynamical networks with delayed coupling and non-delayed coupling. The convexity of matrix functions and the free-weighting matrix method are fully exploited to reduce the conservatism of the results we obtained. Numerical examples are presented to illustrate the efficiency and less conservatism of the proposed method.
MSC:
93C10 | Nonlinear systems in control theory |
93A15 | Large-scale systems |
05C82 | Small world graphs, complex networks (graph-theoretic aspects) |
93C15 | Control/observation systems governed by ordinary differential equations |