Exponential synchronization for fractional-order chaotic systems with mixed uncertainties
Exponential synchronization for fractional-order chaotic systems with mixed uncertainties
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DOI：
10.1002/cplx.21547
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发表时间：
2015-09
期刊：
影响因子：
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通讯作者：
K. Mathiyalagan;Ju H. Park;R. Sakthivel
中科院分区：
文献类型：
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作者：
K. Mathiyalagan;Ju H. Park;R. Sakthivel
本文重点介绍了通过非趋势控制器的分数混沌系统的指数同步问题。方法与结构化形式一起考虑到多种形式。分数混沌Lorenz系统和分数混沌牛顿 - 莱普尼克系统，以说明所获得的理论的适用性。
This article focuses on the problem of exponential synchronization for fractional-order chaotic systems via a nonfragile controller. A criterion for α-exponential stability of an error system is obtained using the drive-response synchronization concept together with the Lyapunov stability theory and linear matrix inequalities approach. The uncertainty in system is considered with polytopic form together with structured form. The sufficient conditions are derived for two kinds of structured uncertainty, namely, 1 norm bounded one and 2 linear fractional transformation one. Finally, numerical examples are presented by taking the fractional-order chaotic Lorenz system and fractional-order chaotic Newton-Leipnik system to illustrate the applicability of the obtained theory. © 2014 Wiley Periodicals, Inc. Complexity 21: 114-125, 2015