Observation and stabilisation of coupled time-fractional reaction-advection-diffusion systems with spatially-varying coefficients
DOI10.1049/iet-cta.2020.0520zbMath1542.93304MaRDI QIDQ6611552
Yang Quan Chen, Eduard Petlenkov, Aleksei Tepljakov, Bo Zhuang, Juan Chen
Publication date: 26 September 2024
Published in: IET Control Theory \& Applications (Search for Journal in Brave)
feedbackobserversasymptotic stabilityreaction-diffusion systemsseparation principlenonlinear control systemsclosed-loop stabilityLyapunov methodsMittag-Leffler stabilityclosed loop systemsbackstepping approachcontrol system synthesisfractional Lyapunov methodspatially-varying coefficientscontrol nonlinearitiesspace-dependent coefficientscoupled time-fractional reaction-advection-diffusion systemestimation error systemkernel matrix equationMittag-Leffler convergent observerobserver-based output feedback stabilisationstabilising output feedback controller
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Reaction-diffusion equations (35K57) Asymptotic stability in control theory (93D20) Fractional partial differential equations (35R11)
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