First and second order necessary conditions of optimality for impulsive control problems

We present first and second order necessary conditions of optimality for a general class of nonlinear measure driven dynamic control systems subject to both equality and inequality endpoint state constraints. An important feature of our result is that the conditions remain informative even for abnor...

Full description

Bibliographic Details
Main Author: Aram Arutyunov (author)
Other Authors: Vladimir Dykhta (author), Fernando Pereira (author)
Format: book
Language:eng
Published: 2003
Subjects:
Online Access:https://repositorio-aberto.up.pt/handle/10216/71689
Country:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/71689
Description
Summary:We present first and second order necessary conditions of optimality for a general class of nonlinear measure driven dynamic control systems subject to both equality and inequality endpoint state constraints. An important feature of our result is that the conditions remain informative even for abnormal control processes. Our result is obtained by decoding the necessary conditions of optimality for an abstract minimization problem with equality and inequality type constraints and constraints given by convex cone.