FEEDBACK CONTROL OF FERMI-PASTA-ULAM LATTICE
A controlled version of the celebrated Fermi-Pasta-Ulam problem is introduced. The control algorithm based on Speed-gradient approach is proposed and analyzed
by computer simulation. Approximation of the system Hamiltonian prespecified value is proposed as the control goal. It is demonstrated that the control goal is achieved in the controlled system. It is shown that the approximate equipartition is achieved in the closed loop system much faster than it is achieved in the open loop (classical) system. Such a phenomenon is observed under control with tiny intensity: less than 0.3% of the total system energy.