Second order conditions in optimal control problems with mixed equality-type constraints on a variable time interval
作者： Nikolai P. Osmolovskii
DOI:
关键词: Variable time 、 Interval (mathematics) 、 Optimal control 、 Quadratic form 、 Type (model theory) 、 Mathematical optimization 、 Order (group theory) 、 Mathematics 、 Maximum principle
摘要:
参考文章(18)
Nikolai P. Osmolovskii, Frank Lempio, Transformation of quadratic forms to perfect squares for broken extremals Set-valued Analysis. ,vol. 10, pp. 209- 232 ,(2002) , 10.1023/A:1016588116615
Dirk Augustin, Helmut Maurer, Computational Sensitivity Analysis for State Constrained Optimal Control Problems Annals of Operations Research. ,vol. 101, pp. 75- 99 ,(2001) , 10.1023/A:1010960221295
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
Kazimierz Malanowski, Second-order conditions and constraint qualifications in stability and sensitivity analysis of solutions to optimization problems in Hilbert spaces Applied Mathematics and Optimization. ,vol. 25, pp. 51- 79 ,(1992) , 10.1007/BF01184156
Vera Zeidan, The Riccati Equation for Optimal Control Problems with Mixed State-Control Constraints: Necessity and Sufficiency Siam Journal on Control and Optimization. ,vol. 32, pp. 1297- 1321 ,(1994) , 10.1137/S0363012992233640
N. P. Osmolovskii, F. Lempio, Jacobi conditions and the riccati equation for a broken extremal Journal of Mathematical Sciences. ,vol. 100, pp. 2572- 2592 ,(2000) , 10.1007/BF02673843
A. V. Arutyunov, D. Yu. Karamzin, Necessary Conditions for a Weak Minimum in an Optimal Control Problem with Mixed Constraints Differential Equations. ,vol. 41, pp. 1532- 1543 ,(2005) , 10.1007/S10625-005-0311-2
Kazimierz Malanowski, , Helmut Maurer, , Sensitivity analysis for state constrained optimal control problems Discrete and Continuous Dynamical Systems. ,vol. 4, pp. 241- 272 ,(1998) , 10.3934/DCDS.1998.4.241
K. Malanowski, Stability and sensitivity of solutions to nonlinear optimal control problems Applied Mathematics and Optimization. ,vol. 32, pp. 111- 141 ,(1995) , 10.1007/BF01185227
A. L. Dontchev, W. W. Hager, A. B. Poore, Bing Yang, Optimality, stability, and convergence in nonlinear control Applied Mathematics and Optimization. ,vol. 31, pp. 297- 326 ,(1995) , 10.1007/BF01215994