Second-Order Geometric Characterization of Optimal Solutions in Continuous-Time Programming
DOI:
https://doi.org/10.5540/03.2023.010.01.0093Keywords:
Continuous-Time Programming, Necessary Optimality Conditions, Geometric CharacterizationAbstract
In this work, it is properly defined second-order tangent directions, second-order feasible directions and second-order directions of decrease for continuous-time nonlinear programming. In addition, it is established necessary optimality conditions in geometric form.
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References
A. V. Arutyunov, S. E. Zhukovskiy, and B. Marinkovic. “Theorems of the alternative for systems of convex inequalities”. In: Set-Valued Var. Anal. 27 (2017), pp. 51–70. doi: 10.1007/s11228-017-0406-y.
M. R. C. Monte and V. A. de Oliveira. “A Constant rank constraint qualification in continuous-time nonlinear programming”. In: Set-Valued Var. Anal. 29.1 (2021), pp. 61–81. doi: 10.1007/s11228-020-00537-1.
M. R. C. Monte and V. A. de Oliveira. “A full rank condition for continuous-time optimization problems with equality and inequality constraints”. In: TEMA Tend. Mat. Apl. Comput. 20.1 (2019), pp. 15–35. doi: 10.5540/tema.2019.020.01.015.
M. R. de Pinho and R. B. Vinter. “Necessary conditions for optimal control problems involving nonlinear differential algebraic equations”. In: J. Math. Anal. Appl. 212.2 (1997), pp. 493–516. doi: 10.1006/jmaa.1997.5523.
