Brachistochrone Problem with Coulomb Friction and Viscous Drag: Qualitative Analysis∗. Issue 11 (2015)
- Record Type:
- Journal Article
- Title:
- Brachistochrone Problem with Coulomb Friction and Viscous Drag: Qualitative Analysis∗. Issue 11 (2015)
- Main Title:
- Brachistochrone Problem with Coulomb Friction and Viscous Drag: Qualitative Analysis∗
- Authors:
- Cherkasov, O. Yu.
Zarodnyuk, A.V. - Abstract:
- Abstract: The range maximization problem and corresponding the brachistochrone problem with Coulomb and viscous friction are considered. A maximum principle procedure allows to reduce optimal control problem to the boundary-value problem for a system of two non-linear differential equations. Solution of this system is corresponding to the motion under singular control. Qualitative analysis of the trajectories is carried out, typical features are determined and verified by means of numerical simulation.
- Is Part Of:
- IFAC-PapersOnLine. Volume 48:Issue 11(2015)
- Journal:
- IFAC-PapersOnLine
- Issue:
- Volume 48:Issue 11(2015)
- Issue Display:
- Volume 48, Issue 11 (2015)
- Year:
- 2015
- Volume:
- 48
- Issue:
- 11
- Issue Sort Value:
- 2015-0048-0011-0000
- Page Start:
- 1018
- Page End:
- 1023
- Publication Date:
- 2015
- Subjects:
- Linear drag -- dry friction -- optimal control -- singular control -- phase portrait
Automatic control -- Periodicals
629.805 - Journal URLs:
- https://www.journals.elsevier.com/ifac-papersonline/ ↗
http://www.sciencedirect.com/ ↗ - DOI:
- 10.1016/j.ifacol.2015.09.326 ↗
- Languages:
- English
- ISSNs:
- 2405-8963
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 5735.xml