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Stability and Control of Fractional Chaotic Complex Networks with Mixed Interval Uncertainties
Author(s) -
Zhang Hao,
Wang Xingyuan,
Lin Xiaohui
Publication year - 2017
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1333
Subject(s) - kronecker product , mathematics , chaotic , control theory (sociology) , nonlinear system , complex network , robustness (evolution) , linear matrix inequality , stability (learning theory) , interval (graph theory) , kronecker delta , mathematical optimization , computer science , control (management) , biochemistry , chemistry , physics , quantum mechanics , combinatorics , artificial intelligence , machine learning , gene
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.