State and output feedback boundary control of time fractional PDE-fractional ODE cascades with space-dependent diffusivity

DOI10.1049/iet-cta.2019.1015zbMath1542.93116MaRDI QIDQ6611606

Eduard Petlenkov, Aleksei Tepljakov, Bo Zhuang, Yang Quan Chen, Juan Chen

Publication date: 26 September 2024

Published in: IET Control Theory \& Applications (Search for Journal in Brave)

zbMATH Keywords

stabilitydiffusionstate feedbackfeedbackobserversdifferential equationsoutput feedbacknonlinear control systemspartial differential equationsLyapunov methodsboundary control problemMittag-Leffler stabilityclosed loop systemscontrol system synthesisfractional Lyapunov methodcontrol nonlinearitiesconvergence of numerical methodstime fractional partial differential equationspace-dependent diffusivitydesigned statefractional cascaded plantsfractional ordinary differential backstepping transformationfull-state feedback lawkernel ODE nor kernel PDEMittag-Leffler convergent boundary observertime fractional PDE-fractional ODE cascades

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Fractional derivatives and integrals (26A33) Control/observation systems governed by ordinary differential equations (93C15) Observers (93B53)

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