Sufficient conditions for local controllability and high-order necessary conditions for optimality. A differential-geometric approach-Reference-Cited by-同舟云学术

Sufficient conditions for local controllability and high-order necessary conditions for optimality. A differential-geometric approach

Published:1997-06 Issue:3 Volume:85 Page:1899-2001
ISSN:1072-3374
Container-title:Journal of Mathematical Sciences
language:en
Short-container-title:J Math Sci

Author:

Tretiyak A. I.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/BF02355110.pdf

Reference274 articles.

1. A. A. Agrachev, “A second-order necessary condition for optimality in a general nonlinear case,”Math. Sb.,102, No. 4, 551–568 (1977).

2. A. A. Agrachev, “Necessary and sufficient conditions of extremum for smooth control systems,” In:ICM Warszawa, Short Communications, XII,Sec. 14:Control Theory and Optimization (1982), p. 29.

3. A. A. Agrachev, “Intersection homologies of real quadrics,”Dokl. Akad. Nauk SSSR,299, No. 6, 1033–1036 (1988).

4. A. A. Agrachev, “Quadratic mappings in geometrical control theory,” In:Problemy Geometrii. Vol. 20.Itogi Nauki i Tekhn., All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk. SSSR, Moscow (1989), pp. 111–205.

5. A. A. Agrachev, “Topology of quadratic mappings and Hessian of smooth mappings,” In:Algebra. Topologiya. Geometriya. Vol. 26.Itogi Nauki i Tekhn., All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk SSSR, Moscow (1988), pp. 85–124.

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