This article investigates the predictor-based stabilization by noise for nonlinear systems. A novel concept, the noise-compensated auxiliary ordinary differential equation (ODE), is introduced to simulate system behavior, predict system state, and compensate for delay effects in the corresponding stochastic differential equation (SDE). Utilizing the auxiliary ODE, a predictor-based stabilizing noise is designed. Unlike conventional predictor-based schemes for stochastic systems, the proposed approach fully accounts for stochastic influences while generating state values that can be directly utilized for control. The proposed scheme is further applied to networked control systems (NCSs) under dual-channel packet loss, where the number of consecutive packet losses is allowed to be unbounded. In this way, the conventional assumption of a finite upper bound on packet loss is removed, and the system stability is guaranteed even under arbitrarily high-packet loss rates. To showcase the superiority of the proposed methodology, numerical simulations are conducted.

This article focuses on the mean-square exponential stability of networked stochastic systems with time delays (NSSTDs) under nonlinear coupling and deception attacks, employing a sampled-data control strategy. A generalized Halanay inequality for NSSTDs is proposed to investigate the stability of the closed-loop system, where multiple time delays with different bounds are considered, with an incorporation of the graph theory. By the comparison of the continuous control system and the sample-data control system, the equivalence condition on the stabilities of the two systems is studied. Meanwhile, estimates for the maximum tolerable attack probability and the corresponding largest sampling period are obtained. Moreover, a qualitative analysis of various indicators for the deception attacks and the sampling period is revealed. Following this, the theorized results are applied to linear systems with multiple time delays under nonlinear coupling, and matrix inequalities for identifying the appropriate value of the control gain are provided by the generalized Halanay inequality. To show the correctness of the results, computational simulations are conducted.

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 τ*. When the system delay function$\tau(t)<\tau^{*}$, 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.

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.