In this paper, the fixed-time projective synchronization issue for a
class of delayed memristive neural networks is studied via aperiodically
intermittent switching control. Firstly, according to the existing
aperiodically intermittent switching strategy, a novel theorem for
aperiodically intermittent switching fixed-time stability is proposed
and proved through mathematical induction. Subsequently, an
aperiodically intermittent switching controller is designed to reach
fixed-time projective synchronization for drive-response systems. The
power exponent is a function of error system state rather than one or
two fixed constants. With the help of the extended differential
inclusion framework, the inequality technique and the analysis method,
some novel sufficient conditions are derived to ensure fixed-time
projective synchronization for the considered systems. The settling time
is closely related to the number of neurons and the maximum ratio of the
rest width to the aperiodic time span, but independent of the initial
value conditions. Furthermore, the fixed-time complete synchronization,
fixed-time anti-synchronization and fixed-time stability obtained are
special cases of the main theorem. Meanwhile, the conclusions of this
paper improve some previous relevant works. Finally, a numerical example
is given to verify the effectiveness and feasibility of the obtained
results