Stability and Stabilization of Fractional‐Order Systems with Different Derivative Orders: An LMI Approach

DOI10.1002/asjc.1847zbMath1432.93272arXiv1711.04125OpenAlexW2963278978MaRDI QIDQ5213923

Pouya Badri, Mahdi Sojoodi

Publication date: 6 February 2020

Published in: Asian Journal of Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.04125

zbMATH Keywords

stabilitystabilizationlinear matrix inequalitydynamic output feedbackfractional-order systemdifferent fractional orders

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Fractional derivatives and integrals (26A33) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation ⋮ Robust stability and stabilization of multi‐order fractional‐order systems with interval uncertainties: An LMI approach ⋮ Fuzzy logic embedding of fractional order sliding mode and state feedback controllers for synchronization of uncertain fractional chaotic systems ⋮ Robust \(H \infty \)-PID control stability of fractional-order linear systems with polytopic and two-norm bounded uncertainties subject to input saturation ⋮ Consensus control of incommensurate fractional-order multi-agent systems: an LMI approach ⋮ Convergence criteria for nonhomogeneous linear nonautonomous real‐order time‐delay systems ⋮ On robust stability of incommensurate fractional-order systems ⋮ LMI-based stability analysis of fractional order systems of neutral type with time varying delays under actuator saturation ⋮ Semigroup property of fractional differential operators and its applications

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