de.mpg.escidoc.pubman.appbase.FacesBean
Deutsch
 
Hilfe Wegweiser Impressum Kontakt Einloggen
  DetailsucheBrowse

Datensatz

DATENSATZ AKTIONENEXPORT

Freigegeben

Konferenzbeitrag

Providing a Basin of Attraction to a Target Region by Computation of Lyapunov-like Functions

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons45471

She,  Zhikun
Programming Logics, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45262

Ratschan,  Stefan
Programming Logics, MPI for Informatics, Max Planck Society;

Externe Ressourcen
Es sind keine Externen Ressourcen verfügbar
Volltexte (frei zugänglich)
Es sind keine frei zugänglichen Volltexte verfügbar
Ergänzendes Material (frei zugänglich)
Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar
Zitation

She, Z., & Ratschan, S. (2006). Providing a Basin of Attraction to a Target Region by Computation of Lyapunov-like Functions. In 4th IEEE International Conference on Computational Cybernetics (pp. 245-249). MA, USA: IEEE.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-23C3-D
Zusammenfassung
In this paper, we present a method for computing a basin of attraction to a target region for non-linear ordinary differential equations. This basin of attraction is ensured by a Lyapunov-like polynomial function that we compute using an interval based branch-and-relax algorithm. This algorithm relaxes the necessary conditions on the coefficients of the Lyapunov-like function to a system of linear interval inequalities that can then be solved exactly, and iteratively reduces the relaxation error by recursively decomposing the state space into hyper-rectangles. Tests on an implementation are promising.