Robust absolute stability and nonlinear state feedback stabilization based on polynomial Lur'e functions

DOI10.1016/j.na.2008.02.081zbMath1155.93408OpenAlexW2164677524MaRDI QIDQ1001852

J. Martínez

Publication date: 19 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.081

zbMATH Keywords

linear matrix inequalitiesstability of nonlinear systemsrobust nonlinear state feedback stabilizing controllers

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Adaptive or robust stabilization (93D21) Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (10)

Further criteria on master-slave synchronization in chaotic Lur'e systems using delay feedback control ⋮ Absolute stability of uncertain discrete Lur'e systems and maximum admissible perturbed bounds ⋮ Global asymptotic stabilization of systems satisfying two different sector conditions ⋮ Improved results on robust stability analysis and stabilization for a class of uncertain nonlinear systems ⋮ Control design for a class of nonlinear continuous-time systems ⋮ On parameter-dependent Lyapunov functions for robust fault detection filter design with application in power systems ⋮ Master‐slave synchronization for delayed Lur'e systems using time‐delay feedback control ⋮ Robust stability of uncertain piecewise-linear systems: LMI approach ⋮ Absolute exponential stability criteria for a class of nonlinear time-delay systems ⋮ Global synchronization in arrays of coupled Lurie systems with both time-delay and hybrid coupling

Uses Software

• SeDuMi
• LMI toolbox

Cites Work

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