Higher order sensitivities for solving nonlinear Two-Point Boundary-Value Problems

Collection of Technical Papers - AIAA/AAS Astrodynamics Specialist Conference

Volumn 3, Issue , 2004, Pages 1688-1704

  Griffith, D Todd ^a,c   Turner, James D ^b,d   Vadali, S R ^a,c   Junkins, John L ^a,c  

^a TEXAS A AND M UNIVERSITY   (United States)

^b Amdyn Systems   (United States)

^c 3141 TAMU ^*  (United States)

^d Department of Aerospace Engineering

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATIC DIFFERENTIATION TOOL; FIRST-ORDER ALGORITHMS; HIGHJER ORDER SENSITIVITY; TWO-POINT BOUNDARY-VALUE PROBLEM (TPBVP);

ALGORITHMS; COMPUTATION THEORY; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); ENCODING (SYMBOLS); OPTIMIZATION; PROBLEM SOLVING; SENSITIVITY ANALYSIS;

BOUNDARY VALUE PROBLEMS;

EID: 19644400149     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

1. Bryson A.E., and Ho, Y., Applied Optimal Control, Taylor and Francis, Levittown, PA, 1975.
2. Junkins, J.L. and Turner, J.D., Optimal Spacecraft Rotational Maneuvers: Studies in Astronautics, Vol. 3, Elsevier Science Publishers, Amsterdam, The Netherlands, 1986.
3. J. D. Turner, "Automated Generation Of High-Order Partial Derivative Models," AIAA Journal, Vol. 41, No. 8 August 2003, pp. 1590-1598.
4. J. D. Turner, "Generalized Gradient Search And Newton's Methods For Multilinear Algebra Root-Solving And Optimization Applications," Invited Paper No. AAS 03-261, To Appear In The Proceedings Of The John L. Junkins Astrodynamics Symposium. George Bush Conference Center, College Station. Texas, May 23-24, 2003.
5. Griffith, D.T., Turner, J.D., and Junkins, J.L., "An Embedded Function Tool for Modeling and Simulating Estimation Problems in Aerospace Engineering", AAS/AIAA Spaceflight Mechanics Meeting, Maui, Hawaii. February 8-12, 2004, AAS 04-148.
6. Griffith, D.T, Sinclair, A.J., Turner. J.D., Hurtado, J.E., and Junkins, J.L., "Automatic Generation and Integration of Equations of Motion by Operator Over-Loading Techniques", AAS/AIAA Spaceflight Mechanics Meeting, Maui, Hawaii, February 8-12, 2004, AAS 04-242.
7. Seywald, H., "Trajectory Optimization Based on Differential Inclusions," Journal of Guidance, Control, and Dynamics, Vol. 17, No. 3, May-June 1994, pp. 480-487.
8. Durrbaum, A., Klier, W., and Hahn, H., "Comparison of Automatic and Symbolic Differentiation in Mathematical Modeling and Computer Simulation of Rigid Body Systems", Multibody System Dynamics, Vol. 7, pp. 331-355, 2002.
9. Battin, Richard H., An Introduction to the Mathematics and Methods of Astrodynamics, AIAA Education Series, 1987.