Stability of networked stochastic multi-links coupled systems under try-once-discard protocol

This paper proposes a novel framework for analysing the stability of networked control systems (NCSs) by introducing, for the first time, a stochastic multi-links coupled system (MLCS) as the plant. The proposed architecture, termed the networked stochastic MLCS, is rigorously formulated as a stochastic hybrid system, enabling systematic stability analysis that jointly accounts for network-induced constraints, coupling topology, and stochastic disturbances. To characterise the admissible transmission behaviour, the maximum allowable transmission interval (MATI) and minimum allowable transmission interval (MIATI) are employed, while the reverse average dwell time (RADT) is incorporated to regulate the average transmission frequency, thereby balancing stability guarantees with communication efficiency. By combining graph theory methods with the Lyapunov method, stability criteria are established for the NCS under the Try-Once-Discard protocol. In particular, computable upper bounds for both MATI and RADT are derived in explicit form. The theoretical results are applied to a stochastic multi-links coupled oscillator system, and numerical simulations confirm the effectiveness and reduced conservatism of the proposed approach compared with existing methods.