Exact stability test and stabilization for fractional systems

DOI10.1016/j.sysconle.2015.08.005zbMath1322.93091OpenAlexW2217669702MaRDI QIDQ888818

Jeremy Yirmeyahu Kaminski, Ezra Zeheb, Robert N. Shorten

Publication date: 2 November 2015

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2015.08.005

zbMATH Keywords

stabilityfractional order systemsregular chains algorithms

Mathematics Subject Classification ID

Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99) Fractional ordinary differential equations (34A08)

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An instability theorem for nonlinear fractional differential systems ⋮ On the robust stability of commensurate fractional-order systems ⋮ Quasi-synchronization analysis for fractional-order delayed complex dynamical networks ⋮ Robust stability of fractional order system with general interval uncertainties ⋮ Necessary and sufficient conditions of observer-based stabilization for a class of fractional-order descriptor systems ⋮ LMI stability conditions and stabilization of fractional-order systems with polytopic and two-norm bounded uncertainties for fractional-order \(\alpha\): the \(1 < \alpha < 2\) case ⋮ Robust passivity and feedback passification of a class of uncertain fractional-order linear systems

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