CONTROLLING PHYSICAL SYSTEMS WITH SYMMETRIES

Authors
GRIGORIEV RO CROSS MC
Citation
Ro. Grigoriev et Mc. Cross, CONTROLLING PHYSICAL SYSTEMS WITH SYMMETRIES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(2), 1998, pp. 1550-1554
Citations number
9
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
57
Issue
2
Year of publication
1998
Part
A
Pages
1550 - 1554
Database
ISI
SICI code
1063-651X(1998)57:2<1550:CPSWS>2.0.ZU;2-S
Abstract
Symmetry properties of the evolution equation and the state to be cont rolled are shown to determine the basic features of the linear control of unstable orbits. In particular the selection of control parameters and their minimal number are determined by the irreducible representa tions of the symmetry group of the linearization about the orbit to be controlled. We use the general results to demonstrate the effect of s ymmetry on the control of two sample physical systems: a coupled map l attice and a particle in a symmetric potential. [S1063-651X(98)04302-5 ].