Second-order tests in optimization theories-Reference-Cited by-同舟云学术

Second-order tests in optimization theories

Published:1975-06 Issue:6 Volume:15 Page:633-666
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Marchal C.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

http://link.springer.com/content/pdf/10.1007/BF00935505.pdf

Reference53 articles.

1. Kelley, H. J.,A Second Variation Test for Singular Extremals, AIAA Journal, Vol. 2, No. 8, 1964.

2. Tait, K. S.,A Generalized Legendre Condition for Singular Optimal Control Problems, Sperry Rand Research Corporation, Sudbury, Massachusetts, Report SRRC-RR-64-95, 1964.

3. Kopp, R. E., andMoyer, H. G.,Necessary Conditions for Singular Extremals, AIAA Journal, Vol. 3, No. 8, 1965.

4. Goh, B. S.,Necessary Conditions for Singular Extremals Involving Multiple Control Variables, SIAM Journal on Control, Vol. 4, No. 4, 1966.

5. Robbins, H. M.,A Generalized Legendre?Clebsch Condition for the Singular Cases of Optimal Control, IBM Federal Systems Division, Owego, New York, Report No. 66?825, P-2043, 1966.

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. How the method of minimization of action avoids singularities;Celestial Mechanics and Dynamical Astronomy;2002

2. Phase Portrait Bifurcation in One-Parameter Family of Optimal Control Problems;IFAC Proceedings Volumes;2001-07

3. Mode reconstruction in a one-parameter family of optimal control problems;Journal of Applied Mathematics and Mechanics;2001-01

4. The Family P 12 of the Three-Body Problem — the Simplest Family of Periodic Orbits, with Twelve Symmetries per Period;New Developments in the Dynamics of Planetary Systems;2001

5. The family P-12 of the three-body problem - The simplest family of periodic orbits, with twelve symmetries per period;Celestial Mechanics and Dynamical Astronomy;2000