Second-order necessary conditions for nonlinear optimization problems in Banach spaces and their application to an optimal control problem

Second-order necessary conditions for nonlinear optimization problems in Banach spaces and their application to an optimal control problem

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Article ID: iaor1991319
Country: United States
Volume: 15
Start Page Number: 467
End Page Number: 482
Publication Date: May 1990
Journal: Mathematics of Operations Research
Authors:
Keywords: control processes
Abstract:

The paper studies second-order necessary conditions for nonlinear optimization problems with equality and set constraints in Banach spaces. The necessary conditions are given in the primal form and the dual form by the use of second-order Neustadt derivative. Moreover the necessary conditions are applied to an optimal control problem without state constraints.

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