Now showing items 1-10 of 8187
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 ...
Necessary conditions of optimality for state constrained infinite horizon differential inclusions
This article presents and discusses necessary conditions of optimality for infinite horizon dynamic optimization problems with inequality state constraints and set inclusion constraints at both endpoints of the trajectory. ...
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 ...
Free time and mixed constrained optimal control problems
We consider free time optimal control problems with pointwise set control constraints u(t) ∈ U(t). Here we derive necessary conditions of optimality for those problem where the set U(t) is defined by equality and inequality ...
A practical optimality condition without constraint qualifications for nonlinear programming
(Springer/plenum PublishersNew YorkEUA, 2003)
A new sufficient condition for optimal impulsive control problems
In this article we introduce the concept of MP-pseudoinvexity for general nonlinear impulsive optimal control problems whose dynamics are specified by measure driven control equations. This is a general paradigm in that, ...
A maximum principle for constrained infinite horizon dynamic control systems
This article presents and discusses a maximum principle for infinite horizon constrained optimal control problems with a cost functional depending on the state at the final time. The main feature of these optimality ...