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论文类型：期刊论文

发表时间：2017-01-01

发表刊物：ASIAN JOURNAL OF CONTROL

收录刊物：SCIE、EI

卷号：19

期号：1

页面范围：106-115

ISSN号：1561-8625

关键字：Complex dynamical networks; LMI; interval uncertainties; fractional order

摘要：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<<1 and 1<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.