 Delay independent robust stability analysis of delayed fractional quaternion-valued leaky integrator echo state neural networks with QUAD conditionSeyed Mehdi Abedi Pahnehkolaei, Alireza Alfi and J.A. Tenreiro Machado Applied Mathematics and Computation, 2019, vol. 359, issue C, 278-293 Abstract: This paper studies the stability of fractional order (FO) continuous-time quaternion-valued Leaky Integrator Echo State Neural Networks (NN). The delay independent robust stability of NN with QUAD vector field activation functions under time varying delays is derived. The analysis follows the FO Lyapunov theorem while decomposing the NN into four real-valued systems. The existence and uniqueness of the equilibrium point are also verified by means of a contraction map on the decomposed NN. The new approach is tested in the stability analysis of the FO quaternion-valued Echo State NN whitout time delays, complex-valued Echo State and quaternion-/complex-valued Hopfield NN with/without time delays. Two numerical examples demonstrate the feasibility of the proposed method. Keywords: Fractional calculus; Quaternion-valued neural network; Integrator echo state neural network; Stability; Time delay (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:359:y:2019:i:c:p:278-293 DOI: 10.1016/j.amc.2019.04.083 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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