On Lyapunov boundary control of unstable magnetohydrodynamic plasmas

Journal Article · Fri Feb 15 00:00:00 EST 2013 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4791656· OSTI ID:22113489

Tasso, H. ^[1]; Throumoulopoulos, G. N. ^[2]

---

1. Max-Planck-Institut fuer Plasmaphysik, Euratom Association, 85748 Garching bei Muenchen (Germany)
2. Department of Physics, University of Ioannina, Association Euratom-Hellenic Republic, GR 451 10 Ioannina (Greece)

Starting from a simple, marginally stable model considered for Lyapunov based boundary control of flexible mechanical systems, we add a term driving an instability and prove that for an appropriate control condition the system can become Lyapunov stable. A similar approximate extension is found for the general energy principle of linearized magnetohydrodynamics. The implementation of such external instantaneous actions may, however, impose challenging constraints for fusion plasmas.

• OSTI ID: 22113489
• Journal Information: Physics of Plasmas, Vol. 20, Issue 2; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
LYAPUNOV METHOD
MAGNETOHYDRODYNAMICS
PLASMA
PLASMA INSTABILITY
PLASMA SIMULATION