Abstract
In this paper, the finite-time stability (FTS) problems for a class of fractional order memristor-based neural network (FOMNN) with time delays are investigated. Based on the method of steps, set-valued mapping, the theory of differential inclusion and fractional order Gronwall inequality, a new delay dependent criterion for the FTS of FOMNN with time delays and the fractional order 0<μ<1 is derived, which is less conservative than the existing criteria. Furthermore, a sufficient condition to ensure the FTS of FOMNN with the fractional-order 1<μ<2 is proposed. Finally, two examples are given to illustrate the validity of the proposed results.
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