Stability of Fractional Difference Systems with Two Orders

DOI10.1007/978-3-319-00933-9_4zbMath1271.93129OpenAlexW136062973MaRDI QIDQ2849604

Ewa Girejko, Dorota Mozyrska, Małgorzata Wyrwas, Ewa Pawłuszewicz

Publication date: 23 September 2013

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

Full work available at URL: https://doi.org/10.1007/978-3-319-00933-9_4

zbMATH Keywords

Caputo fractional differenceLyapunov direct methoduniform stability of nonlinear systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20)

Related Items (3)

Chaos synchronization of fractional chaotic maps based on the stability condition ⋮ On solutions to fractional discrete systems with sequential \(h\)-differences ⋮ Stability of nonlinear h-difference systems with n fractional orders

Cites Work

• On the stability of some discrete fractional nonautonomous systems
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• Mittag-Leffler stability theorem for fractional nonlinear systems with delay
• Frequency Domain Method for Stability Analysis of Linear Continuous-Time State-Space Systems with Double Fractional Orders
• Fractional h-difference equations arising from the calculus of variations
• Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains
• Controllability and Observability of Linear Discrete-Time Fractional-Order Systems
• Fractional Positive Continuous-Time Linear Systems and Their Reachability
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