MATLAB Code for Optimizing Heterogeneous Coupling Gains in Networks of Nonlinear Systems using Leader–Follower Topologies

Using identical coupling gains in a network of dynamical systems is a common approach in studying synchronization. We consider networks with leader-follower topologies and use heterogeneous coupling gains. This approach allows optimizing the different coupling gains while still guaranteeing synchronization, provided that certain assumptions are met (for further details, see the referenced work).

The code demonstrates the effectiveness of our approach. It shows that the sum of all coupling gains can be reduced significantly. This optimization can be graphically represented. Furthermore, code for a numerical example of the networked dynamics is provided.