The stability of the controlled problem of fuzzy dynamic systems involving the random-order Caputo fractional derivative

DOI10.1016/j.ins.2022.08.076OpenAlexW4293722968MaRDI QIDQ6125232

Vinh An Truong, Ngo Van Hoa

Publication date: 11 April 2024

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2022.08.076

zbMATH Keywords

asymptotical stabilityCaputo fractional derivativeMittag-Leffler stabilityfuzzy fractional dynamic systemsrandom-order fractional derivativerandom-order fractional Lyapunov method

Mathematics Subject Classification ID

Fuzzy control/observation systems (93C42) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Single level constraint interval arithmetic
• Fractional calculus for interval-valued functions
• Random-order fractional differential equation models
• On the stability of fuzzy linear dynamical systems
• Lyapunov stability analysis of fractional nonlinear systems
• Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• Mittag-Leffler stability analysis of nonlinear fractional-order systems with impulses
• A note on initial value problems for fractional fuzzy differential equations
• Variable order and distributed order fractional operators
• The \(\psi\)-Hilfer fractional calculus of variable order and its applications
• The solvability of fuzzy fractional partial differential equations under Caputo gH-differentiability
• Stability analysis of Takagi-Sugeno systems using a switched fuzzy Lyapunov function
• Existence of the solution and stability for a class of variable fractional order differential systems
• Stabilization of impulsive fractional-order dynamic systems involving the Caputo fractional derivative of variable-order via a linear feedback controller
• Fréchet derivative for linearly correlated fuzzy function
• Caputo derivatives of fractional variable order: numerical approximations
• Optimal control of a fractional order model for granular SEIR epidemic with uncertainty
• Reproducing kernel method to solve fractional delay differential equations
• \(q\)-fractional differential equations with uncertainty
• Lyapunov functions for fractional order systems
• Uncertain fractional differential equations on a time scale under granular differentiability concept
• Generalized differentiability of fuzzy-valued functions
• Gradual elements in a fuzzy set
• Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications
• New variable-order fractional chaotic systems for fast image encryption
• Generalized quadratic stability for continuous-time singular systems with nonlinear perturbation
• Fuzzy fractional diffusion processes and drug release
• Fractional calculus of linear correlated fuzzy-valued functions related to Fréchet differentiability
• Short memory fractional differential equations for new memristor and neural network design

This page was built for publication: The stability of the controlled problem of fuzzy dynamic systems involving the random-order Caputo fractional derivative