In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a quadratic Lyapunov function shows that it doesn't exist positive definite quadratic Lyapunov function that proves stability of the system, but doesn't show that the system isn't stable.
Characterization of nonlinearity using polynomial transfer function of all-optical sampling
β Scribed by Shangjian Zhang; Yong Liu; Heping Li; Yongzhi Liu
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 519 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0895-2477
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β¦ Synopsis
Abstract
A novel method for full characterizing nonlinear distortion of allβoptical sampling is proposed based on polynomial transfer function.The method only requires fitting transfer curve with a polynomial function and enables a uniform expression of nonlinear distortion in terms of polynomial coefficients and input parameters. Simulation and experiment are designed and performed to check the accuracy. The results with our method are in good agreement with the measurement. Our method avoids both Fourier expansion and spectrum measurement, which is suitable for fast evaluating and optimizing distortion of allβoptical sampling. Β© 2010 Wiley Periodicals, Inc. Microwave Opt Technol Lett 53:216β219, 2011; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.25655
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