A.A. Agrachev, A second-order necessary condition for optimality in the general nonlinear case

Title: A second order necessary condition for optimality in the general nonlinear case
Authors: A.A. Agrachev
Journal title: Mathematics of the USSR-Sbornik
Year: 1977
Issue: 4
Volume: 31
Pages: 493-506
Citation:

A. A. Agrachev, “A second-order necessary condition for optimality in the general nonlinear case”, Mathematics of the USSR-Sbornik, 1977, 31:4, 493–506

Abstract:

In this paper a second-order optimality condition is obtained for the general nonlinear problem with arbitrary boundary conditions and an integral-type minimized functional. Moreover, a second-order sufficient condition for controllability is derived.

File: Download