An Input-Output Approach to Incremental Feedback Stability

• 成果类型: Article
• 署名作者: Su, Lanlan; Khong, Sei Zhen
• 署名单位: University of Manchester; National Sun Yat Sen University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3608259
• 发表日期: 2026
• 关键词: PASSIVITY; systems; monotone; converse

摘要

The well-posedness and incremental stability of feedback interconnections of nonlinear systems satisfying complementary incremental hard integral-quadratic constraints (IQCs) are investigated. It is established that when these incremental IQCs are defined by indefinite static (i.e., matricial) multipliers, feedback well-posedness, which guarantees unique existence of causal solutions to the feedback equations, can be ascertained. We show that a well-posed feedback system is incrementally passive if and only if the open-loop systems are both incrementally passive. Furthermore, we derive an incremental feedback stability result based on incremental IQCs defined by dynamic multipliers and specialize them into incremental IQCs that characterize incremental passivity indices, where incremental passivity surplus in one system may be used to compensate for the deficiency in another from the perspective of establishing incremental feedback stability.