Stability of Time-Varying Homogeneous Systems With Mixed Delays and Disturbances Through Novel Nonlinear Halanay Inequality

• 成果类型: Article
• 署名作者: Tian, Yazhou; Sun, Yuangong; Liang, Mengqian
• 署名单位: University of Jinan; Northeastern University - China
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2026.3665123
• 发表日期: 2026
• 关键词: Exponential stability; stabilization

摘要

This article investigates the stability of time-varying homogeneous systems subject to mixed time delays and exogenous disturbances. The primary contributions include: first, the innovative development of nonlinear Halanay-type differential inequalities that fundamentally extend conventional formulations through the removal of stringent coefficient constraints prevailing in current literature and the unification of some existing results under a generalized analytical framework; second, establishment of rigorous stability criteria through synergistic integration of the proposed inequalities with nonlinear comparison principles, enabling precise characterization of practical exponential stability and practical polynomial stability; and third, comprehensive numerical verification, which not only demonstrates remarkable consistency with theoretical predictions but also successfully applies these theoretical findings to address the consensus problem in leader-follower multiagent networks. These contributions collectively establish a critical linkage between stability theory and engineering applications under complex constraints.