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• W3130928540 abstract "This study solves the problem of observer-based output feedback stabilisation of a coupled time-fractional reaction–advection–diffusion system with space-dependent coefficients. In light of the backstepping approach, the Mittag–Leffler convergent observer is derived to enable stabilisation by output feedback. By the fractional Lyapunov method, the Mittag–Leffler stability of the estimation error system is then established. Using the separation principle yields a stabilising output feedback controller, with which the closed-loop stability is proved. Finally, the feasibility of the proposed approach is tested by fractional numerical examples when the kernel matrix equation has not the explicit solution." @default.
• W3130928540 created "2021-03-01" @default.
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• W3130928540 date "2020-12-01" @default.
• W3130928540 modified "2023-10-16" @default.
• W3130928540 title "Observation and stabilisation of coupled time‐fractional reaction–advection–diffusion systems with spatially‐varying coefficients" @default.
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• W3130928540 doi "https://doi.org/10.1049/iet-cta.2020.0520" @default.
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