A Unified Approach for Input-Output Finite-Time Mean Square Stabilization of Nonlinear Stochastic Markovian Jump Systems With Poisson Noise

• 成果类型: Article
• 署名作者: Yan, Zhiguo; Zhang, Jianhua; Hu, Guolin; Gao, Zhiwei
• 署名单位: Qilu University of Technology; Qilu University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2026.3673089
• 发表日期: 2026
• 关键词: linear-systems; STABILITY

摘要

This article investigates the input-output finite-time mean-square (IO-FTMS) stabilization problem for nonlinear stochastic Markovian jump systems subject to both Wiener and Poisson noises. To break through the traditional IO-FTMS stability confined to single disturbance type (either W-2 or W-infinity), a new IO-FTMS stability analysis framework is proposed, which simultaneously encompasses both W-2 and W-infinity disturbance signals. On this basis, by introducing a piecewise time-varying parameter function delta(T), less conservative unified IO-FTMS stability conditions are established. In addition, the unified IO-FTMS stabilizing controller is designed via the completion of squares method for decoupling, and an algorithm is proposed to determine the feasible domain of parameters (alpha, beta). Finally, an example validates the effectiveness of the proposed approach.