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Indexed by:期刊论文

Date of Publication:2017-01-01

Journal:ASIAN JOURNAL OF CONTROL

Included Journals:SCIE、EI

Volume:19

Issue:1

Page Number:106-115

ISSN No.:1561-8625

Key Words:Complex dynamical networks; LMI; interval uncertainties; fractional order

Abstract: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.