Lagrange and Mayer problems in optimal control

✍ Scribed by S. Shapiro

• Publisher: Elsevier Science
• Year: 1966
• Tongue: English
• Weight: 603 KB
• Volume: 3
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(66)90014-8

✦ Synopsis

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)

respectively.