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Medientyp:
E-Artikel
Titel:
A modified backward integration method for optimal control problems with degenerate equilibrium points
Beteiligte:
Fortuny Ayuso, Pedro;
Bayón, Luis;
Grau, José María;
Ruiz, Maria del Mar;
Suárez, Pedro Maria
Erschienen:
Wiley, 2021
Erschienen in:
Optimal Control Applications and Methods, 42 (2021) 4, Seite 927-942
Sprache:
Englisch
DOI:
10.1002/oca.2706
ISSN:
0143-2087;
1099-1514
Entstehung:
Anmerkungen:
Beschreibung:
AbstractWe present a new numerical indirect method to solve optimal control problems with degenerate equilibrium points. When the optimal control problem is autonomous, the corresponding canonical system becomes an autonomous system of ordinary differential equations. Combining the well‐known blow‐up technique of vector fields with the classic backward integration method, and focusing on a specific type of degenerate singular points, we develop a new method that is both easy to implement and able to deal with complex problems.