Optimality conditions for discrete optimal control problems. (English) Zbl 1128.49018
Summary: Discrete optimal control problems with variable endpoints and with equality type constraints on the control are considered. We derive first- and second-order necessary optimality conditions, which are meaningful under the assumptions weaker than those previously used in the literature.
MSC:
| 49K10 | Optimality conditions for free problems in two or more independent variables |
| 49M37 | Numerical methods based on nonlinear programming |
| 90C30 | Nonlinear programming |
References:
| [1] | Arutyunov A. V., Optimality Conditions: Abnormal and Degenerate Problems (2000) |
| [2] | DOI: 10.1016/0041-5553(85)90069-2 · Zbl 0595.49016 · doi:10.1016/0041-5553(85)90069-2 |
| [3] | DOI: 10.1287/moor.27.3.614.308 · Zbl 1082.90136 · doi:10.1287/moor.27.3.614.308 |
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| [8] | Arutyunov A. V., Vestnik MGU 1 pp 43– (2005) |
| [9] | DOI: 10.1007/s00186-005-0029-1 · Zbl 1134.49018 · doi:10.1007/s00186-005-0029-1 |
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