On Integral Quadratic Constraints

• 成果类型: Article
• 署名作者: Khong, Sei Zhen
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3069665
• 发表日期: 2022
• 页码: 1603-1608
• 关键词: Stability analysis; Linear systems; STANDARDS; Particle separators; Nonlinear systems; Linear matrix inequalities; Writing; Dissipative systems; integral quadratic constraints (IQCs); robust feedback stability; uncertainty

摘要

This article is concerned with robust stability analysis of feedback interconnections of nonlinear systems using integral quadratic constraints (IQCs). Its main purpose involves reconciling hard (a.k.a. unconditional) IQC and soft (a.k.a. conditional) IQC-based analysis. In particular, it is shown that the hard IQC stability result can be recovered from the soft IQC theory. The hard IQC approach is closely related to the dissipativity theory, whereas the soft IQC approach makes use of homotopies that are continuous in the gap distance measure.