ISSN:
1573-2878
Schlagwort(e):
Self-accessibility
;
local controllability
;
set of initial states
;
multivalued fields
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract LetF be a multivalued field on the manifoldM and letN be a submanifold ofM, possibly with boundary. We give a sufficient condition for the self-accessibility property of the pair (N, F), that is:N is contained in the interior of the attainable set fromN at a time smaller or equal toT, for everyT〉0 (at the timeT, ifN is compact). To obtain such a condition, a modification of Petrov's implicit function theorem is proved (Ref. 1). Finally, a necessary condition for the self-accessibility property is given.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF00934476
Permalink