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Chaos Synchronization Criterion and Its Optimizations for a Nonlinear Transducer System via Linear State Error Feedback Control |
| SHEN Jian-He;CHEN Shu-Hui;CAI Jian-Ping |
| Department of Applied Mechanics and Engineering, Sun Yat-sen University, Guangzhou 510275 |
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| Cite this article: |
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SHEN Jian-He, CHEN Shu-Hui, CAI Jian-Ping 2006 Chin. Phys. Lett. 23 1406-1409 |
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Abstract Global chaos synchronization of two identical nonlinear transducer systems is investigated via linear state error feedback control. The sufficient criterion for global chaos synchronization is derived firstly by the Gerschgorin disc theorem and the stability theory of linear time-varied systems. Then this sufficient criterion is further optimized in the sense of reducing the lower bounds of the coupling coefficients with two methods, one based on Gerschgorin disc theorem itself and the other based on Lyapunov direct method. Finally, two optimized criteria are compared theoretically.
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| Keywords:
05.45.Xt
05.45.Gg
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Published: 01 June 2006
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| PACS: |
05.45.Xt
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(Synchronization; coupled oscillators)
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05.45.Gg
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(Control of chaos, applications of chaos)
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