Bifurcation of extremals in optimal control / Jacob Kogan

Auteur: Kogan, Jacob (1954-) - AuteurType de document: Livre numériqueCollection: Lecture notes in mathematics, (Online) ; 1216Langue: anglaisÉditeur: Berlin : Springer-Verlag, 1986 ISBN: 9783540470656 Note: The book is devoted to the study of branching points of extremal solutions of an optimal control problem. For nonlinear control problems the branching points with respect to neighboring trajectories are considered. The main result is that under suitable hypotheses the set of the branching points depends on the system (on the linearized system in the nonlinear case) and not on the cost functional. The cases of vector cost and a constrained set of admissible controls are also considered. (Zentralblatt) Sujets MSC: 49K15 Calculus of variations and optimal control; optimization -- Optimality conditions -- Problems involving ordinary differential equations
49-02 Calculus of variations and optimal control; optimization -- Research exposition (monographs, survey articles)
37Gxx Dynamical systems and ergodic theory -- Local and nonlocal bifurcation theory
49K30 Calculus of variations and optimal control; optimization -- Optimality conditions -- Optimal solutions belonging to restricted classes
93Dxx Systems theory; control -- Stability
En-ligne: Springerlink | Zentralblatt | MathSciNet

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The book is devoted to the study of branching points of extremal solutions of an optimal control problem. For nonlinear control problems the branching points with respect to neighboring trajectories are considered. The main result is that under suitable hypotheses the set of the branching points depends on the system (on the linearized system in the nonlinear case) and not on the cost functional. The cases of vector cost and a constrained set of admissible controls are also considered. (Zentralblatt)

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