Global stability of Clifford-valued Takagi-Sugeno fuzzy neural networks with time-varying delays and impulses

In this study, we consider the Takagi-Sugeno (T-S) fuzzy model to examine the global asymptotic stability of Clifford-valued neural networks with time-varying delays and impulses.In order to achieve the global asymptotic stability criteria, we design a general network model that includes quaternion-, complex-, and real-valued networks as special cases.First, we decompose the n-dimensional Clifford-valued neural network into 2 m n-dimensional real-valued counterparts in order to solve the noncommutativity of Clifford numbers multiplication.Then, we prove the new global asymptotic stability criteria by constructing an appropriate Lyapunov-Krasovskii functionals (LKFs) and employing Jensen's integral inequality together with the reciprocal convex combination method.All the results are proven using linear matrix inequalities (LMIs).Finally, a numerical example is provided to show the effectiveness of the achieved results.