This study examines the problem of decentralized non-fragile dissipative control for a category of fractional-order linear uncertain large-scale systems. We assume that the subsystems uncertainty is norm-bounded and time-varying. Furthermore, we assume that the state-feedback gains for subsystems of the fractional-order large-scale system have norm-bounded controller gain variations. To achieve our goal, we introduce the concept of $(S, Q, R)-$dissipativity for fractional-order interconnected systems. By using this definition and mathematical transformations with fractional calculus, a decentralized non-fragile state-feedback controller is designed so that the closed-loop interconnected sys... More >

A kind of discrete-time singular predator-prey system with time-varying harvesting term is investigated. By using theory of singular systems, bifurcation and center manifold theory, the stability and Neimark-Sacker bifurcation of such system is studied, and some conditions are used to judge local stability of its fixed points and ensure existence of the Neimark-Sacker bifurcation for the proposed discrete-time singular system are derived. Finally, numerical simulations are given to show the obtained results. The results of the paper complements some previous works, and we believe that the method of this paper can be used to study bifurcation for other discrete-time complex singular systems. More >

In this paper, we develop a mathematical model for juvenile delinquency transmission dynamics by incorporating key control strategies, namely precautionary measures, public education, and intervention programs. The model aims to identify effective prevention and control measures for curbing the spread of delinquent behavior among youths, with particular emphasis on evaluating the efficacy of public education. Adopting an epidemiological modelling framework, we derive a system of nonlinear differential equations governing the dynamics of juvenile delinquency over time. Stability analysis of the model is conducted, and the basic reproduction number along with the equilibrium points for both de... More >

This paper investigates fixed-time stability of delayed nonlinear dynamic systems. At first, by designing an inequality with sigmoid-function, a new kind of fixed-time stability lemma is constructed. Then, as an application, the new proposed lemma is applied to discuss fixed-time stabilization(FT) for a kind of delayed neural networks. At last, simulations are also given to show the effectiveness of the derived results. More >

The primary objective of this work is to establish the existence, uniqueness, and exponential stability of piecewise weighted pseudo–almost automorphic solutions for impulsive high-order Hopfield neural networks formulated within Clifford algebras. Using the Banach fixed-point principle together with a suitably adapted Gronwall–Bellman inequality, we derive novel and verifiable sufficient conditions that ensure these qualitative properties. The main contributions are as follows: (i) this study is the first to analyze weighted pseudo–almost automorphic (WPAA) dynamics for impulsive high-order Hopfield neural networks directly in the Clifford algebra setting, without reducing the model t... More >

This paper investigates a class of coupled stochastic strict-feedback nonlinear systems under asynchronous intermittent event-triggered control (AIETC). Initially, stochastic analysis technique, Lyapunov method and backstepping design method are employed to design the virtual and actual controllers. AIETC is achieved by an auxiliary timer that grants each subsystem its own control and rest time. In the meantime the control input is applied only at the last node of each subsystem. Then, a global Lyapunov function is constructed. By utilizing graph theory, the global exponential ultimate boundedness in mean square of the systems can be obtained and Zeno behavior is eliminated successfully. Fin... More >

In this paper, we study the problem of predefined-time synchronization for distinct-order fractional delayed Cohen-Grossberg neural networks. Fractional-order models are known for their ability to capture memory effects and complex dynamics more accurately than classical integer-order systems. In particular, allowing distinct-order in the drive and response systems provides additional flexibility in modeling. To achieve synchronization, we propose two control strategies that provide sufficient conditions for predefined-time synchronization of the addressed model. These strategies are based on the construction of an appropriate Lyapunov function and the use of fractional calculus properties.... More >

This study introduces an age-structured compartmental model that analyzes transitions among stable marriages, long-distance relationships, extra-marital affairs, and divorce. Key behavioral parameters include $\lambda$ (transition to long-distance), $\delta$ (reunification), $\alpha_1$ and $\alpha_2$ (affair formation), $\beta$ (reconciliation), $\gamma$ (affair-driven divorce), and $\mu$ (non-affair divorce). The unmarried women's pool is structured by age, governed by an engagement function $\theta(a)$ and inflow $\Lambda(a)$. A nonlinear differential equation system captures how behavioral mechanisms collectively drive marital dynamics over time. Numerical simulations show that higher $\b... More >