Abstract
Based on the Lyapunav stability theory in control theory, a new suilicient condition is proposed in this paper for chaos synchronization by the linear-state-feedback approach for a class of chaotic systems. By using Schur theorem and some matrix technique, this criterion is then transformed into the Linear Matrix Inequality (LMI) form, which can be easily verified and resolved using the MATLAB LMI Toolbox. It is shown that under the proposed criterion chaos synchronization can be achieved at an exponentid convergence rate. The effectiveness of the criterion proposed herein is verified and demonstrated by the chaotic Murali- Lakshmanan-Chua circuit.
| Original language | English |
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| Title of host publication | Proceedings of 2004 IEEE International Symposium on Computer Aided Control Systems Design, held at Taipei, Taiwan, 2-4 September, 2004 |
| Publisher | IEEE |
| Number of pages | 4 |
| ISBN (Print) | 0780386361 |
| Publication status | Published - 2004 |
| Event | IEEE International Symposium on Computer-Aided Control System Design - Duration: 1 Jan 2004 → … |
Conference
| Conference | IEEE International Symposium on Computer-Aided Control System Design |
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| Period | 1/01/04 → … |
Keywords
- matrix inequalities
- synchronization
- Lyapunav stability
- chaos
- convergence
- Murali-Lakshmanan-Chua circuit