Feedback-invariant optimal control theory and differential geometry—I. Regular extremals-Reference-Cited by-同舟云学术

Feedback-invariant optimal control theory and differential geometry—I. Regular extremals

Published:1997-07 Issue:3 Volume:3 Page:343-389
ISSN:1079-2724
Container-title:Journal of Dynamical and Control Systems
language:en
Short-container-title:Journal of Dynamical and Control Systems

Author:

Agrachev A. A.,Gamkrelidze R. V.

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/BF02463256.pdf

Reference11 articles.

1. A. A. Agrachev, Quadratic mappings in geometric control theory. (Russian)Itogi Nauki i Tekhniki VINITI; Problemy Geometrii, Vol. 20, 1988.VINITI, Moscow, 111–205. (English translation:J. Soviet Math., Plenum Publ. Corp., Vol. 51, 1990, 2667–2734).

2. —, Topology of quadratic mappings and Hessians of smooth mappings. (Russian)Itogi Nauki i Tekhniki VINITI; Algebra, Topologia, Geometria, Vol. 26, 1988,VINITI, Moscow, 85–124. (English translation:J. Soviet Math., Plenum Publ. Corp., 1990, 990–1013).

3. A. A. Agrachev and R. V. Gamkrelidze, Exponential respresentation of flows and chronological calculus. (Russian)Mat. Sb. 107 (1978), 467–532. (English translation:Math. USSR Sb. 35 (1979), 727–785).

4. — The Morse index and the Maslov index for extremals of controlled systems. (Russian)Dokl. Akad. Nauk SSSR 287 (1986), 11–205. (English translation:Soviet Math. Dokl. 33 (1986), 392–395).

5. A. A. Agrachev, The extremality index and quasi-extremal controls. (Russian)Dokl. Acad. Nauk SSSR 284 (1985). (English translation:Soviet Math. Dokl. 32 (1985), 478–481.

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