Asymptotic stability of dynamic equations with two fractional terms: continuous versus discrete case

DOI10.1515/fca-2015-0028zbMath1308.39009OpenAlexW2563793735MaRDI QIDQ2017470

Jan Čermák, Tomáš Kisela

Publication date: 23 March 2015

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

Full work available at URL: https://doi.org/10.1515/fca-2015-0028

zbMATH Keywords

asymptotic stabilityfractional differential equationfractional difference equationfractional Schur-Cohn criterion

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Fractional ordinary differential equations (34A08) Stability theory for difference equations (39A30)

Related Items (11)

A modified Mikhailov stability criterion for a class of discrete-time noncommensurate fractional-order systems ⋮ Existence, uniqueness and asymptotic behavior of solutions to two-term fractional differential equations ⋮ Time discrete abstract fractional Volterra equations via resolvent sequences ⋮ Dissipativity and stability analysis for fractional functional differential equations ⋮ Asymptotic stability of fractional difference equations with bounded time delays ⋮ Asymptotic behavior of fractional-order nonlinear systems with two different derivatives ⋮ New results in stability analysis for LTI SISO systems modeled by GL-discretized fractional-order transfer functions ⋮ Stability analysis of multi-term fractional-differential equations with three fractional derivatives ⋮ Exact stability and instability regions for two-dimensional linear autonomous multi-order systems of fractional-order differential equations ⋮ Asymptotic behavior of mild solutions for nonlinear fractional difference equations ⋮ Stability of fractional variable order difference systems

Cites Work

• Fractional dynamical system and its linearization theorem
• Linear systems of fractional nabla difference equations
• Stability properties of two-term fractional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Exact and discretized stability of the Bagley-Torvik equation
• On the asymptotic stability of linear system of fractional-order difference equations
• Stability regions for linear fractional differential systems and their discretizations
• Stability of the trinomial linear difference equations with two delays
• Discrete fractional calculus with the nabla operator
• Stability of Fractional-Order Systems with Rational Orders
• The Asymptotic Stability of
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