Aperiodically Intermittent Control of Neutral Stochastic Delay Systems Based on Discrete Observations

In article, we study the problem of aperiodically intermittent control (APIC) for neutral stochastic delay systems (NSDSs) based on discrete observations. To overcome the difficulty caused by intermittent control, an auxiliary system is introduced. By using the Lyapunov function method, an upper bound of observation period
$\delta ^{*}$
is obtained. If observation period
$\delta < \delta ^{*}$
, then the auxiliary system is
$p$
th
$(p\geq 2)$
-moment exponentially stable. In addition to the fixed observation period
$\delta < \delta ^{*}$
, this article gives a method to design an aperiodically intermittent controller and obtains a lower bound of duty cycle for all fixed
$0 < \underline {T}\leq \overline {T}$
with
$\underline {T}$
and
$\overline {T}$
being lower bound and upper bound of control frames. That is, we proved the NSDSs with the intermittent discrete observation controller is
$p$
th
$(p\geq 2)$
-moment exponentially stable if the auxiliary system is
$p$
th
$(p\geq 2)$
-moment exponentially stable. We call this method the auxiliary system method (ASM). In fact, different from mainstream techniques, the ASM used in this article can handle the case of
$0 < \underline {T}\leq \overline {T} < \delta $
even if
$\delta $
is small enough. Besides, this article reveals one interesting phenomenon: classic methods may lead to error accumulation, which cannot be avoided in APIC or periodically intermittent control (PIC) for NSDSs. Finally, one numerical example, one application, and one comparison are given to show the usefulness and correctness of the proposed results.