Critical point theory for smooth functions on Hilbert manifolds with singularities and its application to some optimal control problems-Reference-Cited by-同舟云学术

Critical point theory for smooth functions on Hilbert manifolds with singularities and its application to some optimal control problems

Published:1993-11 Issue:1 Volume:67 Page:2713-2811
ISSN:0090-4104
Container-title:Journal of Soviet Mathematics
language:en
Short-container-title:J Math Sci

Author:

Vakhrameev S. A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability,Applied Mathematics,General Mathematics,Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/BF01455151.pdf

Reference1011 articles.

1. E. R. Avakov, A. A. Agrachev, and A. V. Arutyunov, ?A level set of a smooth mapping in the neighborhood of a singular point, and zeros of a quadratic mapping,?Mat. Sb.,182, No. 8, 1091?1104 (1991).

2. A. A. Agrachev, ?Necessary conditions for second-order optimality in the general nonlinear case,?Mat. Sb.,102, No. 4, 551?568 (1977).

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

4. A. A. Agrachev, ?Topology of quadratic mappings and the Hessian of smooth mappings,? In:Algebra. Topol. Geometry. Vol. 26,Itogi Nauki i Tekhn. All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk SSSR, Moscow (1988), pp. 85?124.

5. A. A. Agrachev, ?Quadratic mappings in geometric control theory,? In:Problems of Geometry, Vol. 20,Itogi Nauki i Tekhn. All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk SSSR, Moscow (1988), pp. 111?124.

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