Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709340 | Applied Mathematics Letters | 2008 | 6 Pages |
Abstract
In this work we provide a new approach to the theory of second-order necessary conditions in optimal control, considering a problem posed over piecewise continuous controls and involving equality constrains in the controls. The proof that the second-order conditions obtained are necessary for optimality is simpler than others available in the literature and conveys a clear understanding of how to define a set of differentially admissible variations where a certain quadratic form is nonnegative.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Javier F. Rosenblueth,