标题：Quasi-Matrix and Quasi-Inverse-Matrix Projective Synchronization for Delayed and Disturbed Fractional Order Neural Network
作者：He, Jinman; Chen, Fangqi; Bi, Qinsheng
作者机构：[He, Jinman] Nanjing Univ Aeronaut & Astronaut, Dept Mech, Nanjing 210016, Jiangsu, Peoples R China.; [He, Jinman; Chen, Fangqi] Nanjing Univ Aerona 更多
通讯作者：Chen, FQ;Chen, FQ;Chen, Fangqi
通讯作者地址：[Chen, FQ]Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China;[Chen, FQ]Shandong Univ Sci & Technol, Coll Math & Sy 更多
摘要：This paper is concerned with the quasi-matrix and quasi-inverse-matrix projective synchronization between two nonidentical delayed fractional order neural networks subjected to external disturbances. First, the definitions of quasi-matrix and quasi-inverse-matrix projective synchronization are given, respectively. Then, in order to realize two types of synchronization for delayed and disturbed fractional order neural networks, two sufficient conditions are established and proved by constructing appropriate Lyapunov function in combination with some fractional order differential inequalities. And their estimated synchronization error bound is obtained, which can be reduced to the required standard as small as what we need by selecting appropriate control parameters. Because of the generality of the proposed synchronization, choosing different projective matrix and controllers, the two synchronization types can be reduced to some common synchronization types for delayed fractional order neural networks, like quasi-complete synchronization, quasi-antisynchronization, quasi-projective synchronization, quasi-inverse projective synchronization, quasi-modified projective synchronization, quasi-inverse-modified projective synchronization, and so on. Finally, as applications, two numerical examples with simulations are employed to illustrate the efficiency and feasibility of the new synchronization analysis.