Moment approach to nonlinear time optimality

Authors
Sklyar, GM Ignatovich, SY
Citation
Gm. Sklyar et Sy. Ignatovich, Moment approach to nonlinear time optimality, SIAM J CON, 38(6), 2000, pp. 1707-1728
Citations number
19
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN journal
03630129 → ACNP
Volume
38
Issue
6
Year of publication
2000
Pages
1707 - 1728
Database
ISI
SICI code
0363-0129(20000804)38:6<1707:MATNTO>2.0.ZU;2-9
Abstract
The time-optimal control problem to a stationary point for an a ne analytic nonlinear system is considered as a certain nonlinear power Markov moment min-problem. Conditions for a solution to be asymptotically close to a solu tion of a linear time-optimal control problem are obtained in terms of Lie brackets of the vector fields appearing in the system.