AN INVARIANT 2ND-VARIATION IN OPTIMAL-CONTROL

Authors
AGRACHEV A STEFANI G ZEZZA P
Citation
A. Agrachev et al., AN INVARIANT 2ND-VARIATION IN OPTIMAL-CONTROL, International journal of control (Print), 71(5), 1998, pp. 689-715
Citations number
25
Categorie Soggetti
Robotics & Automatic Control","Robotics & Automatic Control
Journal title
International journal of control (Print) → ACNP
ISSN journal
00207179
Volume
71
Issue
5
Year of publication
1998
Pages
689 - 715
Database
ISI
SICI code
0020-7179(1998)71:5<689:AI2IO>2.0.ZU;2-1
Abstract
For an optimal control problem we define a second variation which is i nvariant under change of coordinates, and realize it as a linear-quadr atic problem. When the strong Legendre condition is satisfied we give a complete Hamiltonian characterization of the index and of the nullit y of the second variation.