Feedback Stabilization of Distributive Systems with Applications to Plasma Stabilization

摘要

Simple mathematical results are obtained for the feedback stabilization of certain classes of linear distributive systems in the form of a second-order evolutional equation in a Hilbert space. The application of some of the results to the feedback stabilization of a highly conducting, fully ionized plasma is discussed. Explicit forms of feedback controls are obtained for a plasma supported against gravity by a magnetic field and also for a 'linear pinch'. (Author)