Can we prove stability by using a positive definite function with non sign-definite derivative?

DOI10.1093/IMAMCI/DNR035zbMath1243.93101arXiv0907.4131OpenAlexW2964117770MaRDI QIDQ2899427

Iasson Karafyllis

Publication date: 30 July 2012

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4131

zbMATH Keywords

Lyapunov methodsuniform robust global asymptotic stabilityuniform robust global exponential stability

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (4)

Stability analysis of discrete-time switched systems via multi-step multiple Lyapunov-like functions ⋮ Stability analysis of time-varying switched systems via indefinite difference Lyapunov functions ⋮ Computation of non-monotonic Lyapunov functions for continuous-time systems ⋮ Input-to-state stability of continuous-time systems via finite-time Lyapunov functions

This page was built for publication: Can we prove stability by using a positive definite function with non sign-definite derivative?