Optimization of Measure-Driven Hybrid Systems

Elena Goncharova () and Maxim Staritsyn ()
Additional contact information
Elena Goncharova: Siberian Branch of the Russian Academy of Sciences
Maxim Staritsyn: Siberian Branch of the Russian Academy of Sciences

Journal of Optimization Theory and Applications, 2012, vol. 153, issue 1, No 9, 139-156

Abstract: Abstract We study an optimal control problem for a state-dependent impulse system described by a measure differential equation. A specific time reparameterization technique is developed to reduce the impulsive control problem to the one with bounded controls. Necessary conditions of optimality are obtained by interpreting the Maximum Principle in the reduced problem. An impulsive control improvement scheme is outlined. The results of numeric simulation are presented.

Keywords: Optimal impulsive control; Measure-driven systems; Mixed constraints; Hybrid systems; Time reparameterization technique; Maximum principle (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-011-9944-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:153:y:2012:i:1:d:10.1007_s10957-011-9944-x

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-011-9944-x

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().