Abstract
The purpose of this paper is to discuss the dynamic behavior of a fuzzy Clifford-valued system with distributed delays involving the Equi-Weyl almost periodic coefficients. In particular, we will be looking at the conditions for the existence and uniqueness of the \(\text {EW}^p_{\textrm{ap}}\) solution and the system’s stability by means of Lyapunov functions, as well as its efficiency through the utilization of numerical examples with simulations. The difficulties of such a system will be discussed, as it deals with fuzzy operations on a Clifford algebra. Therefore, a novel approach will be proposed in order to overcome them (do not break down the model into real-valued submodels), opening the door to the analysis of more realistic fuzzy Clifford-valued models with time delays.
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Communicated by Valeria Neves Domingos Cavalcanti.
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Es-saiydy, M., Zitane, M. Dynamics analysis of delayed fuzzy Clifford-valued model: a case of Equi-Weyl almost periodic environment. Comp. Appl. Math. 42, 342 (2023). https://doi.org/10.1007/s40314-023-02470-z
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DOI: https://doi.org/10.1007/s40314-023-02470-z
Keywords
- Clifford-valued system
- Fuzzy theory
- Equi-Weyl almost periodic oscillations
- Global stability
- Distributed delays