Synchronization Control for Complex Dynamical Networks with Switching Topology

Jun‐Guo Lu · Science Technology and Engineering · 2013

For complex dynamical networks with a pre-given collection of coupled connection topologies,how to achieve synchronization by designing the topological switching law when synchronization cannot be achieved by using any topology alone in this collection is investigated.By constructing an appropriate Lyapunov function,the synchronization criteria for the general connection topology is established and the switching law design is given.Compared with the existing results,the coupled topological matrices can be in more general forms without the restrictions on coupled topological matrices(such as simultaneous triangularizability or diagonalizability).The simulation results indicate the effectiveness of the proposed results.

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