Now showing items 1-10 of 3559
New optimality conditions for nonsmooth control problems
This work considers nonsmooth optimal control problems and provides two new sufficient conditions of optimality. The first condition involves the Lagrange multipliers while the second does not. We show that under the first ...
KT-invexity in optimal control problems
(Pergamon-Elsevier B.V. Ltd, 2009-11-15)
We extend the notion of KT-invexity from mathematical programming to the classical optimal control problem and show that this generalized invexity property is not only a sufficient condition of optimality for KT-processes ...
A practical optimality condition without constraint qualifications for nonlinear programming
(Springer/plenum PublishersNew YorkEUA, 2003)
On sufficient optimality conditions for multiobjective control problems
This paper is devoted to presenting optimality conditions for the sufficiency of the maximum principle for multiobjective optimal control problems with nonsmooth data. Such conditions are the most general as possible in ...
Optimality conditions for infinite horizon control problems with state constraints
(Pergamon-Elsevier B.V. Ltd, 2009-12-15)
Necessary conditions of optimality in the form of a maximum principle are derived for state constrained optimal control problems with infinite horizon. A notable feature of our optimality conditions is the derivation of ...
The use of possibility theory in the definition of fuzzy Pareto-optimality
(SpringerNew YorkEUA, 2011)
Nonlinear-programming reformulation of the order-value optimization problem
(Physica-verlag Gmbh & CoHeidelbergAlemanha, 2005)
A note on the sufficiency of the maximum principle for infinite horizon optimal control problems
This work is devoted to introduce a new sufficient optimality condition for infinite horizon optimal control problems. It is shown that normal extremal processes are optimal under this new condition, termed as maximum-pr ...
Optimality conditions for pareto nonsmooth nonconvex programming in banach spaces
In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. We obtain necessary and sufficient criteria for optimality in the form of Karush-Kuhn-Tucker conditions. ...
Optimality conditions for Pareto nonsmooth nonconvex programming in Banach spaces
(Kluwer Academic/plenum PublNew YorkEUA, 1999)