2010/02/24 by Iasson Karafyllis, Karafyllis, Iasson, Zhong‐Ping Jiang +2
Engineering · Mathematics · #Adaptive Control of Nonlinear Systems #Control and Dynamics of Mobile Robots #Dynamical Systems (math.DS) #FOS: Mathematics #Guidance and Control Systems #Optimization and Control (math.OC) #math.DS #math.OC
paper · pdf · doi:10.48550/arxiv.1002.4489
23 pages, 1 figure. Submitted for possible publication to the International Journal of Robust and Nonlinear Control
arxiv created 2010/02/24 · openalex publication_date 2010/02/24 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
New trajectory-based small-gain results are obtained for nonlinear feedback systems under relaxed assumptions. Specifically, during a transient period, the solutions of the feedback system may not satisfy some key inequalities that previous small-gain results usually utilize to prove stability properties. The results allow the application of the small-gain perspective to various systems which satisfy less demanding stability notions than the Input-to-Output Stability property. The robust global feedback stabilization problem of an uncertain time-delayed chemostat model is solved by means of the trajectory-based small-gain results.