Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints

作者: J. Frédéric Bonnans , Audrey Hermant

DOI: 10.1016/J.ANIHPC.2007.12.002

关键词:

摘要: … a vector-valued state constraint. Mixed control-state constraints (state constraints of order zero) … holds, and that each component of the state constraint is of arbitrary (but finite) order qi. …

参考文章(30)
Kazimierz Malanowski, Helmut Maurer, Sensitivity Analysis for Optimal Control Problems Subject to Higher Order State Constraints Annals of Operations Research. ,vol. 101, pp. 43- 73 ,(2001) , 10.1023/A:1010956104457
Aleksandr Davidovich Ioffe, Vladimir M. Tikhomirov, Theory of extremal problems ,(1979)
Bernard Bonnard, Ludovic Faubourg, Genevieve Launay, Emmanuel Trélat, Optimal Control with State Constraints and the Space Shuttle Re-entry Problem Journal of Dynamical and Control Systems. ,vol. 9, pp. 155- 199 ,(2003) , 10.1023/A:1023289721398
J Frédéric Bonnans, Alexander Shapiro, Perturbation Analysis of Optimization Problems ,(2000)
A. L. Dontchev, W. W. Hager, Lipschitzian Stability for State Constrained Nonlinear Optimal Control Siam Journal on Control and Optimization. ,vol. 36, pp. 698- 718 ,(1998) , 10.1137/S0363012996299314
R. Bulirsch, F. Montrone, H. J. Pesch, Abort landing in the presence of windshear as a minimax optimal control problem, part 1: necessary conditions Journal of Optimization Theory and Applications. ,vol. 70, pp. 1- 23 ,(1991) , 10.1007/BF00940502
J. Frédéric Bonnans, Audrey Hermant, Well-Posedness of the Shooting Algorithm for State Constrained Optimal Control Problems with a Single Constraint and Control Siam Journal on Control and Optimization. ,vol. 46, pp. 1398- 1430 ,(2007) , 10.1137/06065756X
Richard F. Hartl, Suresh P. Sethi, Raymond G. Vickson, A Survey of the Maximum Principles for Optimal Control Problems with State Constraints SIAM Review. ,vol. 37, pp. 181- 218 ,(1995) , 10.1137/1037043
A. V. Dmitruk, Maximum principle for the general optimal control problem with phase and regular mixed constraints Computational Mathematics and Modeling. ,vol. 4, pp. 364- 377 ,(1993) , 10.1007/BF01128760
H. Kawasaki, Second order necessary optimality conditions for minimizing a sup-type function Mathematical Programming. ,vol. 49, pp. 213- 229 ,(1990) , 10.1007/BF01588788