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On a functional lasalle principle with application to chaos synchronization
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SYSNO ASEP 0342104 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On a functional lasalle principle with application to chaos synchronization Author(s) Chen, G. (HK)
Čelikovský, Sergej (UTIA-B) RID, ORCID
Zhou, J. (CN)Source Title International Journal of Bifurcation and Chaos. - : World Scientific Publishing - ISSN 0218-1274
Roč. 19, č. 12 (2009), s. 4253-4261Number of pages 9 s. Language eng - English Country SG - Singapore Keywords Chaos synchronization ; LaSalle invariance principle ; Lineared equation Subject RIV BC - Control Systems Theory R&D Projects GA102/08/0186 GA ČR - Czech Science Foundation (CSF) LA09026 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000275981000015 Annotation A functional version of the LaSalle invariance principle is introduced. Rather than the usual pointwise Lyapunov-like functions, this extended version of the principle uses specially constructed functionals along system trajectories. This modification enables the original principle to handle not only autonomous, but also some nonautonomous systems. The new theoretical result is used to study robust synchronization of general Li´enard-type nonlinear systems. The new technique is finally applied to coupled chaotic van der Pol oscillators to achieve synchronization. Numerical simulation is included to demonstrate the effectiveness of the proposed methodology. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2011
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