Second-order necessary conditions for discrete inclusions with end point constraints

• Autorzy: Aurelian Cernea
• Języki publikacji: EN

Abstrakty

EN

We study an optimization problem given by a discrete inclusion with end point constraints. An approach concerning second-order optimality conditions is proposed.

Słowa kluczowe

EN

tangent cone; discrete inclusion; necessary optimality conditions

Kategorie tematyczne

• 49J30: Optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
• 93C30: Systems governed by functional relations other than differential equations (such as hybrid and switching systems)

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2005
• Tom: 25
• Numer: 1
• Strony: 47-58

Daty

wydano

2005

otrzymano

2004-07-13

Twórcy

autor

Aurelian Cernea

• Faculty of Mathematics and Informatics, University of Bucharest, Academiei 14, 010014 Bucharest, Romania

Bibliografia

• [1] J.P. Aubin and H. Frankowska, Set-valued Analysis, Birkhäuser, Basel 1990.
• [2] A. Ben-Tal and J. Zowe, A unified theory of first and second order conditions for extremum problems in topological vector spaces, Math. Programming Study 19 (1982), 39-76.
• [3] A. Cernea, On some second-order necessary conditions for differential inclusion problems, Lecture Notes Nonlin. Anal. 2 (1998), 113-121.
• [4] A. Cernea, Some second-order necessary conditions for nonconvex hyperbolic differential inclusion problems, J. Math. Anal. Appl. 253 (2001), 616-639.
• [5] A. Cernea, Derived cones to reachable sets of discrete inclusions, submitted.
• [6] A. Cernea, On the maximum principle for discrete inclusions with end point constraints, Math. Reports, to appear.
• [7] H.D. Tuan and Y. Ishizuka, On controllability and maximum principle for discrete inclusions, Optimization 34 (1995), 293-316.
• [8] H. Zheng, Second-order necessary conditions for differential inclusion problems, Appl. Math. Opt. 30 (1994), 1-14.

Identyfikatory

DOI

10.7151/dmgt.1058