Wave control in the lattices of linear oscillators

The issue of spatially distributed systems regulation is studied on the example of lattices of linear oscillators. The problem of natural wave stabilization is formulated and solved applying passivity-based approach. By natural wave stabilization we understand the desired energy and phase assignment for oscillators (the waves frequencies can be chosen from the lattice natural spectrum). The proposed controls are applied to 1D and 2D lattices confirming efficiency of the proposed solution.