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Some relaxation problems in optimal control theory

✍ Scribed by Giuseppe Buttazzo

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 634 KB
Volume: 125
Category: Article
ISSN: 0022-247X
DOI: 10.1016/0022-247x(87)90182-x

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7.1. A general condition. We easily derive a very general criterion for the optimality of a trajectory. Let there be given any point x&Y and any control function u(t)c U, 06 t 6 ti 6 t r, such that (x(t), u(t))c R. Let x1 =x(x0 ; tl). The isotims corresponding to x0, xi are J(x) =e,, J(x) =a1 (26)