| Abstract: |
| The Klein-Gordon equation is a wave equation with a cubic nonlinearity. This system can be used to describe the interaction of particles on a lattice. I will describe a suitable choice of feedback control to drive the system to a collective flocking behavior in finite time. Finally, I will highlight the connection between our flocking problem and a minimal-time problem in the framework of nonlinear Hamilton-Jacobi equations and optimal control theory. |
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