This paper investigates the $H_{\infty }$ consensus problem of discrete-time Markov jump fractional-order multiagent systems (DTMJFOMASs) under denial-of-service (DoS) attacks. By applying the short-memory principle, we can obtain discrete-time Markov jump multiagent systems with partially unknown probabilities. A novel quantized event-triggering mechanism (QETM), based on a mode-dependent logarithmic quantizer, is proposed to enhance transmission efficiency among multiagents. A distributed controller with quantized output is developed. Sufficient conditions are provided to ensure the system achieves $H_{\infty }$ consensus through Lyapunov stability theory. Finally, two examples are given to verify the effectiveness of the proposed model.

Low density polyethylene (LDPE) was modified by the addition of commercial fire retardants FR01 and aluminium hydroxide (ATH). ATH/FR01/LDPE composites were prepared by melt blending and extrusion in a twin-screw extruder. ATH was first modified by a silane coupling agent KH550 then added to LDPE. The flame retardancy, electrical property and thermal behavior of the LDPE composites were investigated by limiting oxygen index (LOI), volume resistivity and thermogravimetric analysis (TGA), respectively. The results indicated that the surface modification of ATH (M-ATH) could greatly improve the dispersibility and compatibility with LDPE matrix. The mechanical property tests showed good mechanical properties of composite, compared with unmodified one, tensile strength and elongation of M-ATH/LDPE were all improved, and the addition of FR01 improved the flame retardancy of ATH/LDPE remarkably. TGA results demonstrate that char yield of M-ATH/FR01/LDPE (30/15/70) reaches 27 wt% at 600 °C in Ar atmosphere.

This article addresses the finite-time nonfragile synchronization control of time-varying delays T-S fuzzy discrete chaotic network systems(TSFDCNSs) with random deception attacks. Aiming at the security threats caused by network attacks in network system, a nonfragile feedback controller is designed considering random deception attacks. In order to reduce communication resource consumption effectively, an adaptive event triggering method is proposed based on adaptive threshold parameters. Under the Lyapunov-Krasovskii functional and linear matrix inequality, we derive sufficient conditions for the finite-time synchronization of TSFDCNSs. Finally, two examples are given to validate the proposed modes.

This paper investigates the asynchronous non-fragile $H_{\infty }$ control problem for a class of Markovian jump singularly perturbed systems (MJSPSs) with time-varying delays. By applying a multi-layer structure method, a non-fragile controller with time delay is designed for the MJSPSs to adapt to disturbances caused by nonstationary quantization and DoS attacks. To model the asynchronous dynamics between the system and the controller mode, an independent Markov chain is employed to capture the asynchronous quantization and control behavior. By constructing mode-dependent Lyapunov–Krasovskii functions, sufficient conditions are derived to ensure stochastic finite-time exponential stability and $H_{\infty }$ performance under conditions of delay, singular disturbances, and quantization uncertainty. The effectiveness of the method is validated using an inverted pendulum system controlled by a DC motor, demonstrating its ability to achieve robust stability and performance in bandwidth-constrained network environments.

This paper investigates the formation control problem of heterogeneous multi-agent systems under switching topologies and actuator faults. Considering unmeasurable full states, an output-feedback distributed fault-tolerant control architecture is proposed. To overcome unmeasurable states and switching topologies, a distributed observer is first constructed. Relying solely on local outputs, it achieves distributed leader state estimation for each follower without requiring global topology information. Subsequently, an observer-based adaptive fault-tolerant controller is designed to dynamically compensate for unknown actuator faults. Furthermore, to cope with the surge of event triggers caused by coupled disturbances, a novel dynamic event-triggered mechanism introducing an internal dynamic variable is designed. This significantly suppresses redundant triggers and saves communication bandwidth. Finally, Lyapunov analysis and numerical simulations demonstrate that the proposed method guarantees the uniformly ultimately bounded stability of the closed-loop system while strictly excluding Zeno behavior.