Stability of uncertain systems using Lyapunov functions with non-monotonic terms

DOI10.1016/j.automatica.2017.04.042zbMath1372.93155OpenAlexW2615695022MaRDI QIDQ2409144

Peter Seiler, Márcio J. Lacerda

Publication date: 11 October 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2017.04.042

zbMATH Keywords

robust stabilitytime-invariant uncertaintynon-monotonic Lyapunov functionscontinuous and discrete-time uncertain systems

Mathematics Subject Classification ID

Control/observation systems with incomplete information (93C41) Lyapunov and storage functions (93D30) Linear systems in control theory (93C05) Robust stability (93D09)

Related Items

Static output-feedback control for cyber-physical LPV systems under DoS attacks ⋮ Uniform exponential stability criteria with verification for nonautonomous switched nonlinear systems with uncertainty ⋮ On the regularization and matrix Lyapunov functions for fuzzy differential systems with uncertain parameters ⋮ Stability and stabilization for LPV systems based on Lyapunov functions with non-monotonic terms ⋮ Robust performance for uncertain systems via Lyapunov functions with higher order terms ⋮ Stability analysis and robust performance of periodic discrete-time uncertain systems via structured Lyapunov functions ⋮ A necessary and sufficient condition for stability of a class of planar nonlinear systems ⋮ Adaptive gain-scheduling control for continuous-time systems with polytopic uncertainties: an LMI-based approach

Uses Software

• SeDuMi
• YALMIP

Cites Work

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