Control of Unstable Flows
Abstract
Without introducing a discrete model, unstable continuous flows in a neighbourhood of an unstable stationary point can be stabilized. The linear part of the vector field of disturbing the flow can be managed to become the state variable multiplied by a negative constant. The nonlinear part of the vector field keeps to be unchanged, therefore flows far away from the stationary point are almost unaffected by the disturbance. The control method is easy to be used, even for practical problems for which a priori analytical knowledge of system dynamics is unavailable.
 Publication:

Chinese Physics Letters
 Pub Date:
 February 2003
 DOI:
 10.1088/0256307X/20/2/310
 Bibcode:
 2003ChPhL..20..206L