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- Title
Multiple stability and instability of Cohen–Grossberg neural network with unbounded time-varying delays.
- Authors
Chen, Yanheng; Jia, Songfang
- Abstract
In this paper, multiple stability and instability of Cohen–Grossberg neural network with unbounded time-varying delays are studied. Based on the geometrical configuration of activation functions and some rigorous mathematical analysis, some algebraic criteria are proposed to guarantee coexistence of multiple stable equilibrium points and multiple unstable equilibrium points in the model. Moreover, using the partition space method, we prove that the discussed model has at least 3 n equilibrium points, 2 n of them are locally μ-stable and others are unstable. Finally, the numerical example and its simulation show the effectiveness of the proposed results.
- Subjects
ARTIFICIAL neural networks; TIME-varying networks; MATHEMATICAL analysis; COMPUTER simulation; EQUILIBRIUM
- Publication
Journal of Inequalities & Applications, 2019, Vol 2019, Issue 1, pN.PAG
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-019-2129-0