2002/02/16 by Long Wang, Wang, Long
Engineering · Mathematics · #93C80 #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #Structural Health Monitoring Techniques #math.DS #math.OC #msc:93C80
paper · pdf · doi:10.48550/arxiv.math/0202151
18 pages, 8 figures
arxiv created 2002/02/16 · openalex publication_date 2002/02/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we study the frequency response of uncertain systems using Kharitonov stability theory on first order complex polynomial set. For an interval transfer function, we show that the minimal real part of the frequency response at any fixed frequency is attained at some prescribed vertex transfer functions. By further geometric and algebraic analysis, we identify an index for strict positive realness of interval transfer functions. Some extensions and applications in positivity verification and robust absolute stability of feedback control systems are also presented.