Robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties

DOI10.1186/S13662-018-1542-XzbMath1445.93028OpenAlexW2797389470WikidataQ130134970 ScholiaQ130134970MaRDI QIDQ1711730

Sulan Li

Publication date: 18 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1542-x

zbMATH Keywords

robust stabilitylinear matrix inequalityLTI fractional-order systempoly-topic uncertaintytwo-norm bounded uncertainty

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Adaptive or robust stabilization (93D21) Robust stability (93D09)

Related Items (5)

Multiplicity results for sublinear elliptic equations with sign-changing potential and general nonlinearity ⋮ Asymptotical stabilization of the nonlinear upper triangular fractional-order systems ⋮ Robust stability of fractional-order systems with mixed uncertainties: the \(0<\alpha<1\) case ⋮ An application of forward difference method in robust stability of discrete uncertainty system with delays ⋮ New results on stability and stabilization of delayed Caputo fractional order systems with convex polytopic uncertainties

Cites Work

• Robust stability and stabilization of fractional-order linear systems with polytopic uncertainties
• Stability analysis on a class of nonlinear fractional-order systems
• Fractional order polytopic systems: robust stability and stabilisation
• Stability analysis of Caputo fractional-order nonlinear systems revisited
• Robust stability of fractional order system with general interval uncertainties
• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
• Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality
• Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
• LMI stability conditions for fractional order systems
• Fractional-order systems and controls. Fundamentals and applications
• A note on the stability of fractional order systems
• Robust stability check of fractional order linear time invariant systems with interval uncertainties
• Fractional order [proportional derivative controller for a class of fractional order systems]
• New aspects of the adaptive synchronization and hyperchaos suppression of a financial model
• A new formulation of the fractional optimal control problems involving Mittag-Leffler nonsingular kernel
• The Schur complement and its applications
• Stochastic P-bifurcation and stochastic resonance in a noisy bistable fractional-order system
• The CRONE control of resonant plants: application to a flexible transmission
• Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties
• Robust stability bounds of uncertain fractional-order systems
• A robust method for new fractional hybrid chaos synchronization
• Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Robust Stability and Stabilization of Fractional-Order Interval Systems with the Fractional Order $\alpha$: The $0≪\alpha≪1$ Case
• Simple and Robust Experiment Design for System Identification Using Fractional Models

This page was built for publication: Robust stability and stabilization of LTI fractional-order systems with poly-topic and two-norm bounded uncertainties