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

In this 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 pth(p >= 2)-moment exponentially stable. In addition to the fixed observation period d < d*, this article gives a method to design an aperiodically intermittent controller and obtains a lower bound of duty cycle for all fixed 0 < <(T)under bar> <= (T) over bar with (T) under bar and (T) over bar being lower bound and upper bound of control frames. That is, we proved the NSDSswith the intermittent discrete observation controller is pth(p >= 2)-moment exponentially stable if the auxiliary system is pth(p = 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 <= (T) under bar <= (T) over bar < 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.

Automated summary

In this article, the problem of aperiodically intermittent control for neutral stochastic delay systems is studied based on discrete observations. An auxiliary system is introduced to overcome the difficulty caused by intermittent control, and an upper bound of the observation period is obtained using the Lyapunov function method. The article also provides a method to design an aperiodically intermittent controller and obtains a lower bound of duty cycle for fixed control frames. The importance of the proposed results is demonstrated through a numerical example, an application, and a comparison.