Passivity and dissipativity-based fuzzy control of quaternion-valued memristive neural networks on time scales

In this paper, the problem of passivity and dissipativity analysis are investigated for a class of fractional-order quaternion-valued fuzzy memristive neural networks. By constructing proper Lyapunov functional and employing inequality technique, several improved passivity criteria and dissipativity conclusions are established, which can be checked efficiently by use of some standard mathematical calculations. Different from previous results, involving the quaternions connections, our derivation avoid considering the "magnitude" of quaternion. Finally, two simulation examples based on the fuzzy model are given to demonstrate the effectiveness of the proposed techniques.