Conjugate intervals for the linear fixed-endpoint control problem

Journal of Optimization Theory and Applications

Volumn 116, Issue 2, 2003, Pages 393-420

  Rosenblueth, J ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

Generalized conjugate points; normality; optimal control problems

Indexed keywords

CONDITION; CONTROL PROBLEMS; GENERALIZED CONJUGATE POINTS; NON-NEGATIVITY; NORMALITY; OPTIMAL CONTROL PROBLEM; PIECEWISE CONTINUOUS CONTROL; SECOND VARIATION; SECOND-ORDER CONDITIONS; SIMPLE++;

OPTIMAL CONTROL SYSTEMS;

EID: 0037284873     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022418306796     Document Type: Article

References (5)

1. LOEWEN, P. D., and ZHENG, H., Generalized Conjugate Points for Optimal Control Problems, Nonlinear Analysis: Theory, Methods, and Applications, Vol. 22, pp. 771-791, 1994.
2. ZEIDAN, V., Admissible Directions and Generalized Coupled Points for Optimal Control Problems, Nonlinear Analysis: Theory, Methods, and Applications, Vol. 26, pp. 479-507, 1996.
3. ZEIDAN, V., and ZEZZA, P., The Conjugate Point Condition for Smooth Control Sets, Journal of Mathematical Analysis and Applications, Vol. 132, pp. 572-589, 1988.
4. BERLANGA, R., and ROSENBLUETH, J. F., Jacobi's Condition for Singular Extremals: An Extended Notion of Conjugate Points, Applied Mathematics Letters, Vol. 15, pp. 453-458, 2002.
5. HESTENES, M. R., Calculus of Variations and Optimal Control Theory, John Wiley and Sons, New York, NY, 1966.