Existence And Stability Of Almost Periodic Function-like Solutions For Some Clifford-Valued Neural Network Models On Time Scales

In this thesis,firstly,we first propose a concept of compact almost automorphic functions on time scales,and study some basic properties of compact almost automorphic functions on time scales,including an equivalent characterization of compact almost automorphic functions on time scales,composition theorems of compact almost automorphic functions and the completeness of compact almost automorphic function space.And we reasonably define the fuzzy operation(fuzzy and(?)fuzzy or(?))on Clifford number,and on this basis we give and prove its relative properties.secondly,in order to obtain the main results of this paper,we prove several auxiliary lemmas.then,as applications of these theories,without decomposing the considered Clifford-valued neural networks into real-valued neural networks,we study the dynamical behaviors of four types of Clifford-valued neural networks on time scales,respectively.By using inequality analysis techniques on time scales,the Banach fixed point theorem,the theory of calculus on time scales,we study the existence and stability of almost periodic solutions for a class of Clifford-valued high-order Hopfield neural network with time-varying delays on time scales,we obtain some sufficient conditions for pseudo almost periodic solution synchronization of a class of Clifford-valued cellular neural networks with discrete delays and distributed delays on time scales,we obtain some sufficient conditions for the existence and stability of the weighted pseudo almost periodic solutions of Clifford-valued neutral-type neural networks with leakage delays on time scales,we study the existence and stability of almost automorphic solutions of Clifford-valued neutral-type fuzzy cellular neural networks and Clifford-valued neutral-type shunting inhibitory cellular neural networks with leakage delays on time scales,and we study the existence and stability of compact almost automorphic solutions for a class of Clifford-valued neural network with time-varying delays on time scales.Our results are brand new.Finally,we give some examples to illustrate the effectiveness and feasibility of our results.