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[1] Zhang Huasheng, , Zhang Kanjian, et al. Stability analysis of time-varying systemsvia parameter-dependent homogeneous Lyapunov functions [J]. Journal of Southeast University (English Edition), 2014, 30 (3): 302-305. [doi:10.3969/j.issn.1003-7985.2014.03.008]
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Stability analysis of time-varying systemsvia parameter-dependent homogeneous Lyapunov functions()
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
30
Issue:
2014 3
Page:
302-305
Research Field:
Automation
Publishing date:
2014-09-30

Info

Title:
Stability analysis of time-varying systemsvia parameter-dependent homogeneous Lyapunov functions
Author(s):
Zhang Huasheng1;  2;  3;  Zhang Kanjian1;  2
1Key Laboratory of Measurement and Control of Complex Systems of Engineering of Ministry of Education, Southeast University, Nanjing 210096, China
2School of Automation, Southeast University, Nanjing 210096, China
3School of Mathematical Sciences, Liaocheng University, Liaocheng 252000, China
Keywords:
linear time-varying systems;  polytopic uncertainty;  robust stability;  linear matrix inequality
PACS:
TP202.1;TP271.7
DOI:
10.3969/j.issn.1003-7985.2014.03.008
Abstract:
This paper considers the stability analysis of linear continuous-time systems, and that the dynamic matrices are affected by uncertain time-varying parameters, which are assumed to be bounded, continuously differentiable, with bounded rates of variation. First, sufficient conditions of stability for time-varying systems are given by the commonly used parameter-dependent quadratic Lyapunov function. Moreover, the use of homogeneous polynomial Lyapunov functions for the stability analysis of the linear system subject to the time-varying parametric uncertainty is introduced. Sufficient conditions to determine the sought after Lyapunov function is derived via a suitable paramenterization of polynomial homogeneous forms. A numerical example is given to illustrate that the stability conditions are less conservative than similar tests in the literature.

References:

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Memo

Memo:
Biographies: Zhang Huasheng(1978—), male, doctor, zhsh0510@163.com; Zhang Kanjian(1971—), male, doctor, professor, kjzhang@seu.edu.cn.
Foundation items: The Major Program of National Natural Science Foundation of China(No.11190015), the National Natural Science Foundation of China(No.61374006).
Citation: Zhang Huasheng, Zhang Kanjian. Stability analysis of time-varying systems via parameter-dependent homogeneous Lyapunov functions [J].Journal of Southeast University(English Edition), 2014, 30(3):302-305.[doi:10.3969/j.issn.1003-7985.2014.03.008]
Last Update: 2014-09-20