Second-Order Conditions for Efficiency in Nonsmooth Multiobjective Optimization Problems

2004 ◽  
Vol 122 (3) ◽  
pp. 521-538 ◽  
Author(s):  
T. Maeda
Keyword(s):  
Multiobjective Optimization ◽  
Optimization Problems ◽  
Second Order ◽  
Order Conditions ◽  
Second Order Conditions ◽  
Multiobjective Optimization Problems ◽  
Nonsmooth Multiobjective Optimization

Second-Order Conditions

2018 ◽  
Author(s):  
John E. Prussing
Keyword(s):  
Optimal Control ◽  
Optimization Problems ◽  
Conjugate Point ◽  
Test Procedure ◽  
Second Order ◽  
Order Conditions ◽  
Second Order Conditions ◽  
The First Variation ◽  
The Cost ◽  
The Second Variation

Second-order conditions for both parameter optimization problems and optimal control problems are analysed. A new conjugate point test procedure is discussed and illustrated. For an optimal control problem we will examine the second variation of the cost. The first variation subject to constraints provides first-order NC for a minimum of J. Second-order conditions provide SC a minimum.

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