- Tytuł:
- Optimal control of constrained delay-differential inclusions with multivalued initial conditions
- Autorzy:
-
Mordukhovich, B. S.
Wang, L. - Powiązania:
- https://bibliotekanauki.pl/articles/970519.pdf
- Data publikacji:
- 2003
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
aproksymacja dyskretna
warunek konieczny optymalności
analiza wariacyjna
stabilność
optymalizacja niegładka
różniczkowanie uogólnione
delay-differential inclusions
discrete approximations
necessary optimality conditions
variational analysis
stability
nonsmooth optimization
generalized differentiation - Opis:
- This paper studies a general optimal control problem for nonconvex delay-differential inclusions with endpoint constraints. In contrast to previous publications on this topic, we incorporate time-dependent set constraints on the initial interval, which are specific for systems with delays and provide an additional source for optimization. Our variational analysis is based on well-posed discrete approximations of constrained delay-differential inclusions by a family of time-delayed systems with discrete dynamics and perturbed constraints. Using convergence results for discrete approximations and advanced tools of nonsmooth variational analysis, we derive necessary optimality conditions for constrained delay-differential inclusions in both Euler-Lagrange and Hamiltonian forms involving nonconvex generalized differential constructions for nonsmooth functions, sets, and set-valued mappings.
- Źródło:
-
Control and Cybernetics; 2003, 32, 3; 585-609
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł