The critical tangent cone in second-order conditions for optimal control

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 2, 2001, Pages 1149-1161

  Pales Z ^a,b   Zeidan, V ^a,b  

^a UNIVERSITY OF DEBRECEN   (Hungary)

^b NONE

Author keywords

Critical cone; Critical tangent cone; First and second order optimality conditions; Set valued constraints

Indexed keywords

CONSTRAINT THEORY; LAGRANGE MULTIPLIERS; OPTIMAL CONTROL SYSTEMS; SET THEORY; VARIATIONAL TECHNIQUES;

CRITICAL TANGENT CONES; DUBOVITSKII-MILYUTIN SETS; SET-VALUED CONSTRAINTS;

NONLINEAR EQUATIONS;

EID: 0035425783     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00254-1     Document Type: Article

References (11)

1. Metric regularity, tangent sets, and second-order optimality conditions
2. Second variations in extremal problems with constraints
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4. Nonsmooth optimum problems with constraints
5. First- and second-order necessary conditions for control problems with constraints
6. Optimum problems with certain lower semicontinuous set-valued constraints
7. r)
8. 1-closed decomposable sets in L∞
9. 1-closed decomposable sets in L∞
10. Optimization problems with measurable set-valued constraints