Optimal control problems for some nonlocal differential equations

✍ Scribed by Michael Drakhlin; Elena Litsyn; Eugene Stepanov

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 362 KB
• Volume: 47
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(01)00509-0

✦ Synopsis

We present new results on direct methods of the calculus of variations for nonlocal optimal control problems involving functional-differential equations with argument deviation

[
\begin{aligned}
& \min I(y, u) \
& \dot{y}=f(t, y(g(t)), u(h(t))), \quad y(0)=y_{0}, \quad t \in[0,1]
\end{aligned}
]