2020/12/14 by Iasson Karafyllis, Karafyllis, Iasson, Antoine Chaillet +1 · 3 citations
Engineering · #Adaptive Control of Nonlinear Systems #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2012.07607
openalex publication_date 2020/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Asymptotic output stability (AOS) is an interesting property when addressing\ncontrol applications in which not all state variables are requested to converge\nto the origin. AOS is often established by invoking classical tools such as\nBarbashin-Krasovskii-LaSalle's invariance principle or Barbalat's lemma.\nNevertheless, none of these tools allow to predict whether the output\nconvergence is uniform on bounded sets of initial conditions, which may lead to\npractical issues related to convergence speed and robustness. The contribution\nof this paper is twofold. First, we provide a testable sufficient condition\nunder which this uniform convergence holds. Second, we provide an extension of\nBarbalat's lemma, which relaxes the uniform continuity requirement. Both these\nresults are first stated in a finite-dimensional context and then extended to\ninfinite-dimensional systems. We provide academic examples to illustrate the\nusefulness of these results and show that they can be invoked to establish\nuniform AOS for systems under adaptive control.\n