Stability of fractional order switching systems

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• 作者：S. Hassan HosseinNia ; In¨¦s Tejado ; Blas M. Vinagre
• 关键词：Switching system ; Fractional order switching system ; Quadratic stability ; Common Lyapunov theory ; Frequency domain
• 刊名：Computers and Mathematics with Applications
• 出版年：2013
• 出版时间：September, 2013
• 年：2013
• 卷：66
• 期：5
• 页码：585-596
• 全文大小：1319 K

文摘

This paper studies the stability problem for fractional order switching systems. The conditions for the stability of such systems are presented in terms of common Lyapunov theory, generalized to fractional order systems, and in frequency domain, an approach equivalent to the previous one. The effectiveness of the developed theory is shown through some illustrative examples.