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

Ge Li, Yaqiong Li and Zhaohui Yuan

Complexity, 2018, vol. 2018, 1-15

Abstract:

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:7160858

DOI: 10.1155/2018/7160858

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