Finite-Time Stabilization of Memristive Cohen-Grossberg Neural Networks with Time-Varying Delay

Abstract EN

In this paper, the finite-time stabilization problem for memristive Cohen-Grossberg neural networks with time-varying delay is discussed.

By using the novel fixed point theory of set-valued maps, we establish the existence theorem of equilibrium point.

In order to realize the finite-time stabilization, two different kinds of discontinuous state feedback controllers whether including time-varying delay are designed.

Based on the extended Filippov framework and two different kinds of methods whether using finite-time stability theory, some novel sufficient conditions and the upper bound of the settling time for finite-time stabilization are proposed.

Finally, two numerical examples are given to demonstrate the validity of theoretical results.