Anti-Periodic Dynamics of Quaternion-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays on Time Scales

الملخص EN

A class of quaternion-valued fuzzy cellular neural networks with time-varying delays on time scales is proposed.

Based on inequality analysis techniques on time scales, a fixed point theorem and the theory of calculus on time scales, the existence, and global exponential stability of anti-periodic solutions for this class of neural networks are established.

The obtained results are completely new and supplement to the known results.

Finally, a numerical example is given to illustrate the feasibility of our results.