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HOME > JOURNALS BY SUBJECT > NONLINEAR SCIENCE > IJBC
International Journal of Bifurcation and Chaos (IJBC)
in Applied Sciences and Engineering
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Volume: 15, Issue: 2(2005) pp. 567-604     DOI: 10.1142/S0218127405012181
Abstract | Full Text (PDF, 297KB) | References
Title: SET STABILIZATION OF A MODIFIED CHUA'S CIRCUIT
Author(s):
SHIHUA LI
Author for correspondence.

Department of Automatic Control, Southeast University, Nanjing 210096, P. R. China

YU-PING TIAN
Department of Automatic Control, Southeast University, Nanjing 210096, P. R. China
History:
Received November 17, 2003
Revised April 28, 2004
Abstract:
In this paper, we develop a simple linear feedback controller, which employs only one of the states of the system, to stabilize the modified Chua's circuit to an invariant set which consists of its nontrivial equilibria. Moreover, we show for the first time that the closed loop modified Chua's circuit satisfies set stability which can be considered as a generalization of common Lyapunov stability of an equilibrium point. Simulation results are presented to verify our method.
Keywords:
Chua's circuit; stabilization; set stability

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