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Statements

Subject Item
n2:RIV%2F68407700%3A21230%2F05%3A03108702%21RIV06-GA0-21230___
rdf:type
skos:Concept n19:Vysledek
dcterms:description
A functional version of LaSalle's invariance principle is derived, i.e., rather than the usual pointwise Lyapunov-like functions it uses specially constructed functionals along system trajectories. This modification enables the principle to handle even nonautonomous systems to which the classical LaSalle's principle is not directly applicable. The new theoretical results are then used to study robust synchronization of general Liénard type of systems. The developed technique is finally applied to chaotic oscillators synchronization. Numerical simulation is included to demonstrate the effectiveness of the proposed methodology. Není k dispozici A functional version of LaSalle's invariance principle is derived, i.e., rather than the usual pointwise Lyapunov-like functions it uses specially constructed functionals along system trajectories. This modification enables the principle to handle even nonautonomous systems to which the classical LaSalle's principle is not directly applicable. The new theoretical results are then used to study robust synchronization of general Liénard type of systems. The developed technique is finally applied to chaotic oscillators synchronization. Numerical simulation is included to demonstrate the effectiveness of the proposed methodology.
dcterms:title
On LaSalle's Invariance Principle and Its Application to Robust Synchronization of General Vector Liénard Equations On LaSalle's Invariance Principle and Its Application to Robust Synchronization of General Vector Liénard Equations Není k dispozici
skos:prefLabel
On LaSalle's Invariance Principle and Its Application to Robust Synchronization of General Vector Liénard Equations On LaSalle's Invariance Principle and Its Application to Robust Synchronization of General Vector Liénard Equations Není k dispozici
skos:notation
RIV/68407700:21230/05:03108702!RIV06-GA0-21230___
n3:strany
869 ; 874
n3:aktivita
n6:Z n6:P
n3:aktivity
P(GA102/05/0011), Z(AV0Z10750506)
n3:cisloPeriodika
6
n3:dodaniDat
n12:2006
n3:domaciTvurceVysledku
n17:1424181
n3:druhVysledku
n13:J
n3:duvernostUdaju
n10:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
534364
n3:idVysledku
RIV/68407700:21230/05:03108702
n3:jazykVysledku
n18:eng
n3:klicovaSlova
LaSalle's invariance principle; Liénard equation; Lyapunov functional; chaos synchronization; duffing oscilator; nonautonomous dynamical system
n3:klicoveSlovo
n9:LaSalle%27s%20invariance%20principle n9:Li%C3%A9nard%20equation n9:Lyapunov%20functional n9:duffing%20oscilator n9:nonautonomous%20dynamical%20system n9:chaos%20synchronization
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[51B7662CEF80]
n3:nazevZdroje
IEEE Transactions on Automatic Control
n3:obor
n14:BC
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:projekt
n4:GA102%2F05%2F0011
n3:rokUplatneniVysledku
n12:2005
n3:svazekPeriodika
50
n3:tvurceVysledku
Guanrong, Ch. Čelikovský, Sergej Zhou, J.
n3:zamer
n11:AV0Z10750506
s:issn
0018-9286
s:numberOfPages
6
n16:organizacniJednotka
21230