Global stabilization of some chaotic dynamical systems

M.M. El-Dessoky and H.N. Agiza

Chaos, Solitons & Fractals, 2009, vol. 42, issue 3, 1584-1598

Abstract: In this paper, based on the theory of nonlinear differential equations and Gerschgorin theorem, a control scheme is proposed for global stabilizing the unstable equilibria of a class of chaotic systems. Using a suitable designing to the feedback gain matrix which depends on a few algebraic inequalities, chaotic orbits are suppressed and dragged to the target (system’s equilibria). The proposed scheme is successfully applied to some typical chaotic systems with different types of nonlinearities, such as Rossler system, Nuclear Spin Generator system, and Four-scroll attractor. Numerical simulation results are presented to verify our control method.

Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077909001532
Full text for ScienceDirect subscribers only

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:eee:chsofr:v:42:y:2009:i:3:p:1584-1598

DOI: 10.1016/j.chaos.2009.03.028

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().