Stabilization of Hybrid Neutral Stochastic Delay Systems With Aperiodically Intermittent Control and Delay Feedback

Abstract

This article addresses the stabilization of neutral stochastic delay systems (NSDSs) employing aperiodically intermittent controllers (APIC) based on delay feedback and asynchronous switching. To tackle issues arising from the neutral term, we introduce a special auxiliary system (AS) that is not a neutral system, and is distinct from existing literature [41]. Utilizing the Lyapunov-Krasovskii functional approach and the iterative method, the stability criterion for the AS is given, which consists of the bound of three delay functions and the duty-cycle. If the stability criterion is satisfied, the AS will achieve mean-square exponentially stability, offering a viable APIC design scheme for non-NSDSs. Additionally, employing the equivalence technique (ET), this article obtains an additional bound for the system delay function, denoted by $\tau ^{*}$ . When the system delay function $\tau (t)\lt \tau ^{*}$ , we demonstrate that the NSDS with intermittent feedback is mean-square exponentially stable if the non-neutral AS is stable. This method is called as AS method based on non-neutral type (ASMbNT). With one comparison, this article reveals that the ASMbNT proposed in this article not only addresses the problem considered in [41], but also yields improved results. Lastly, to demonstrate the effectiveness and validity of the proposed approach, a numerical example is presented.