Singular trajectories and their role in control theory / Bernard Bonnard, Monique Chyba

Auteur principal : Bonnard, Bernard, 1952-, AuteurCo-auteur : Chyba, Monique, 1969-, AuteurType de document : MonographieCollection : Mathématiques et applications, 40Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, 2003Description : 1 vol. (XVI-357 p.) : ill. ; 24 cmISBN: 9783540008385.ISSN: 1154-483X.Bibliographie : Bibliogr. p. [343]-348. Index.Sujet MSC : 93B27, Systems theory; control, Geometric methods
49K15, Calculus of variations and optimal control; optimization, Optimality conditions for problems involving ordinary differential equations
93C95, Model systems in control theory, Application models
53D25, Differential geometry, Geodesic flows in symplectic geometry and contact geometry
53C17, Global differential geometry, Sub-Riemannian geometry
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The authors consider singular optimal control problems when the constraint is a nonlinear control system evolving in a manifold M. This means that the Lagrange multiplier corresponding to this constraint is zero. Closely related is the minimum time problem and the singular trajectories coming from the maximum principle with canonical Hamiltonian which are singularities of the endpoint mapping which associates to a control input the state obtained from the solution to the control system at the given final time. (Zentralblatt)

Bibliogr. p. [343]-348. Index

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