Second order conditions for periodic optimal control problems

Control and Cybernetics

Volumn 34, Issue 3, 2005, Pages 617-643

  Allwright, John ^a   Vinter, Richard ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Dynamic programming; Periodic optimal control; Riccati equations; Second order conditions

Indexed keywords

EID: 31544464960     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (7)

1. HESTENES, M. R. (1951) Applications of the Theory of Quadratic Forms in Hilbert Space to Calculus of Variations. Pacific J. Math 1, 525-581.
2. MAURER, H. and PICKENHAIN, S. (1995) Second order sufficient conditions for optimal control problems with mixed control-state constraints. J. Optim. Theory and Applic. 86, 649-667.
3. SPEYER, J.L. (1996) Periodic Optimal Flight. J. Guidance, Control and Dynamics 61,745-754.
4. STEFANI, G. and ZEZZA, P. (1997) Constrained Regular LQ-Control Problems. SIAM J. Control and Optim. 35, 876-900.
5. VINTER, R.B. (2000) Optimal Control. Birkhäuser, Boston.
6. WANG, Q. and SPEYER, J.L. (1990) Necessary and Sufficient Conditions for Local Optimality of a Periodic Process. SIAM J. Control and Optim. 28, 482-497.
7. 2-Hamiltonians. SIAM J. Control and Optim. 40, 577-609.