INVESTIGADORES
LOTITO Pablo Andres
artículos
Título:
Quadratic order conditions for singular extremals
Autor/es:
ARONNA, MARIA SOLEDAD; BONNANS, J.-FRÉDÉRIC; DMITRUK, ANDREI; LOTITO, PABLO ANDRÉS
Revista:
Numerical Algebra, Control and Optimization
Editorial:
AIMS
Referencias:
Lugar: Springfield; Año: 2011 vol. 2 p. 511 - 546
ISSN:
2155-3289
Resumen:
This paper deals with optimal control problems for systems affine in the control variable. We have nonnegativity constraints on the control, and finitely many equality and inequality constraints on the final state. First, we obtain second order necessary optimality conditions. Secondly, we get a second order sufficient condition for the scalar control case. The results use in an essential way the Goh transformation.