Exponential Stability for a Class of Fractional Order Dynamic Systems

DOI10.1007/978-3-030-17344-9_13zbMath1427.93209OpenAlexW2944594228MaRDI QIDQ4972781

Wojciech Mitkowski, Krzysztof Oprzędkiewicz

Publication date: 27 November 2019

Published in: Lecture Notes in Electrical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-17344-9_13

zbMATH Keywords

exponential stabilityfractional order systemsMittag-Leffler stabilityCaputo operatorgeneralized Mittag-Leffler stabilityCaputo-Fabrizio operatorfractional order state equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Unnamed Item
• Reduced-order fractional descriptor observers for a class of fractional descriptor continuous-time nonlinear systems
• Fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative
• Fractional linear systems and electrical circuits
• Modeling heat distribution with the use of a non-integer order, state space model
• Generalized Mittag-Leffler stability of multi-variables fractional order nonlinear systems
• Selected problems of fractional systems theory.
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• Exponential asymptotics of the Mittag-Leffler function
• Mittag-Leffler stability theorem for fractional nonlinear systems with delay
• Singular fractional linear systems and electrical circuits
• A non integer order, state space model for one dimensional heat transfer process