Robustness and convergence of fractional systems and their applications to adaptive schemes

DOI10.1515/fca-2017-0047zbMath1380.34012arXiv1609.05544OpenAlexW3101936034MaRDI QIDQ2402330

Javier A. Gallegos, Manuel A. Duarte-Mermoud

Publication date: 7 September 2017

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05544

zbMATH Keywords

robustnessadaptive systemsfractional differential equations

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05) Fractional ordinary differential equations (34A08)

Related Items (11)

Mixed order fractional observers for minimal realizations of linear time-invariant systems ⋮ Mixed order robust adaptive control for general linear time invariant systems ⋮ Stability and applications of multi-order fractional systems ⋮ Robustness and convergence of fractional systems and their applications to adaptive schemes ⋮ Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic ⋮ Analysis of fractional order error models in adaptive systems: mixed order cases ⋮ Pseudo‐Lyapunov methods for Grünwald‐Letnikov and initialized fractional systems ⋮ Fractional-Order Model Reference Adaptive Controllers for First-Order Integer Plants ⋮ Smooth solutions to mixed-order fractional differential systems with applications to stability analysis ⋮ Converse theorems in Lyapunov’s second method and applications for fractional order systems ⋮ Backward bifurcation in a fractional-order and two-patch model of tuberculosis epidemic with incomplete treatment

Cites Work

• Unnamed Item
• Unnamed Item
• On fractional extensions of Barbalat Lemma
• Boundedness and convergence on fractional order systems
• Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• On the Lyapunov theory for fractional order systems
• Robustness and convergence of fractional systems and their applications to adaptive schemes
• On stable manifolds for fractional differential equations in high-dimensional spaces
• A note on \(\mathcal{L}_p\)-norms of fractional systems
• Existence and uniqueness of global solutions of Caputo-type fractional differential equations
• On fractional lyapunov exponent for solutions of linear fractional differential equations
• Robust adaptive control in the presence of bounded disturbances
• On the Uniform Asymptotic Stability of Certain Linear Nonautonomous Differential Equations

This page was built for publication: Robustness and convergence of fractional systems and their applications to adaptive schemes