Poly-quadratic stability and global chaos synchronization of discrete time hybrid systems

Jamal Daafouz and Gilles Millerioux

Mathematics and Computers in Simulation (MATCOM), 2002, vol. 58, issue 4, 295-307

Abstract: This paper considers global chaos synchronization as an observer design problem. Chaos generators are ascribed the form of piecewise linear maps, a particular class of discrete time hybrid systems. Sufficient conditions of global synchronization are formulated using a poly-quadratic stability concept. Such a concept is based on the use of parameter-dependent Lyapunov functions to check stability and leads to a reduction of the restricitions relative to conditions involving a unique Lyapunov function.

Keywords: Global chaos synchronization; Poly-quadratic stability; Parameter-dependent Lyapunov function; Hybrid observers (search for similar items in EconPapers)
Date: 2002
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475401003743
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:matcom:v:58:y:2002:i:4:p:295-307

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().