Stability and Control of Fractional Chaotic Complex Networks with Mixed Interval Uncertainties

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• 作者：Hao Zhang ; Xing-yuan Wang and Xiao-hui Lin
• 刊名：Asian Journal of Control
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：19
• 期：1
• 页码：106-115
• 全文大小：303K
• ISSN：1934-6093

文摘

This paper investigates the stability and control in fractional complex networks with inner and outer interval uncertainties. Each node is defined as a chaotic system. Stability theorems for fractional order 0 < α < 1 and 1 ≤ α < 2 are derived in the chaotic complex network. Instead of removing the nonlinear part directly, for a class of nonlinear function, we use an interval matrix to deal with this problem. By using the Kronecker product and LMI toolbox, stability conditions are provided in terms of linear matrix inequalities, and feasible feedback controllers are solved. In numerical simulations, two examples (real-valued complex network and complex-valued complex network) are provided to demonstrate the robustness and effectiveness of our methods.