Volume: 15, Issue: 2(2005)
pp. 567-604 DOI: 10.1142/S0218127405012181
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| 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. ChinaYU-PING TIAN Department of Automatic Control, Southeast University, Nanjing 210096, P. R. China
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| History: |
Received November 17, 2003 Revised April 28, 2004
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| 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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