Quasi-projective Synchronization Analysis of Delayed Caputo-Type BAM Neural Networks in the Complex Field

This article analyzes the quasi-projective synchronization (QPS) issues of delayed Caputo-type BAM neural networks in the complex field. In order to facilitate calculation and realize QPS, the non-decomposition method is adopted. Moreover, a novel lemma in the form of algebraic inequality is established based on the Laplace transform, which makes it more convenient to deal with the delay term. Applying the proposed lemma, inequality techniques and Lyapunov method, some criteria of QPS are obtained via the designed different controllers. Meanwhile, the error bound is effectively derived. Eventually, the rationality of the gained criteria is tested by two simulations.

Automated summary

This article analyzes the issues of quasi-projective synchronization (QPS) for delayed Caputo-type BAM neural networks in the complex field. The non-decomposition method is adopted to facilitate calculation and realize QPS. A novel lemma in the form of algebraic inequality is established based on the Laplace transform to deal with the delay term. Criteria for QPS are obtained using the proposed lemma, inequality techniques, and Lyapunov method, along with the design of different controllers. The rationality of the criteria is tested through simulations.