On the Exponential Convergence of Input-Output Signals of Nonlinear Feedback Systems

• 成果类型: Article
• 署名作者: Su, Lanlan; Zhao, Di; Khong, Sei Zhen
• 署名单位: University of Manchester; Nanjing University; Tongji University; National Sun Yat Sen University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3569619
• 发表日期: 2025
• 页码: 6913-6920
• 关键词: convergence; stability analysis; STABILITY; control theory; Linear systems; uncertainty; Nonlinear systems; asymptotic stability; Transfer functions; Numerical stability; Exponential convergence; integral-quadratic constraints (IQCs); Linear matrix inequalities; robust stability

摘要

This note studies the exponential convergence of input-output signals of discrete-time nonlinear systems composed of a feedback interconnection of a linear time-invariant system and a nonlinear uncertainty. Both the open-loop subsystems are allowed to be unbounded. Integral-quadratic-constraint-based conditions are proposed for these uncertain feedback systems, including the Lurye type, to exhibit the property that the endogenous input-output signals enjoy an exponential convergence rate for all initial conditions of the linear time-invariant subsystem. The conditions are established via a combination of tools, including integral-quadratic constraints, directed gap, and exponential weightings.