一类分数阶交换系统的稳定性

2015 IEEE Advanced Information Technology, Electronic and Automation Control Conference (IAEAC) Pub Date : 2015-12-01 DOI:10.1109/IAEAC.2015.7428524

Ying-Xu Yang, Guopei Chen

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引用次数: 1

摘要

研究了一类分数阶交换系统的渐近稳定性。首先，给出了基于分数阶Lyapunov函数的系统稳定性的充分条件。然后，利用分数阶李雅普诺夫函数和最小停留时间技术，给出了分数阶切换系统稳定性的验证定理。最后，通过数值算例对理论结果进行了验证。

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Stability of a class of fractional order switched systems

This paper considers the asymptotic stability of a class of fractional order switched systems. First, a sufficient condition is given to ensure the stability of systems based on fractional order Lyapunov functions. Then, a theorem is given to verify the stability of fractional order switched systems by using the fractional order Lyapunov functions and minimum dwell time technique. Finally, a numerical example is provided to illustrate the theoretical results.

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2015 IEEE Advanced Information Technology, Electronic and Automation Control Conference (IAEAC)

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