ISSN:
1573-2878
Schlagwort(e):
Lower closure theorems
;
generalized control theory
;
control theory
;
calculus of variations
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract A lower closure theorem for an abstract control problem is proved. The functional isJ(ϕ,u)=∝ G f 0(t, (Mϕ)(t),u(t))dt and the state equations areNϕ(t)=f(t, (Mϕ)(t),u(t)). It is shown that, if {(ϕ k ,u k)} is a sequence of admissible controlsu k and corre-sponding trajectories ϕ k such that lim infJ(ϕ k ,u k)〈+∞ and such that ϕ k → ϕ weakly,Mϕ k →Mϕ strongly,Nϕ k →Nϕ weakly, and {u k} is bounded in someL p norm, then there is a controlu such that (ϕ,u) is admissible and lim infJ(ϕ k ,u k)≧J(ϕ,u).
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF00932846
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