Mittag-Leffler convergent backstepping observers for coupled semilinear subdiffusion systems with spatially varying parameters

DOI10.1016/j.sysconle.2018.10.009zbMath1408.93097OpenAlexW2901506668WikidataQ59891836 ScholiaQ59891836MaRDI QIDQ1729082

Thomas Meurer, Yang Quan Chen, Fu-Dong Ge

Publication date: 27 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2018.10.009

zbMATH Keywords

boundary feedback controlMittag-Leffler stabilitybackstepping observerscoupled semilinear time fractional diffusion systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Fractional derivatives and integrals (26A33)

Related Items (12)

Event-triggered boundary stabilization for coupled semilinear reaction-diffusion systems with spatially varying coefficients ⋮ Mittag-Leffler stabilization of fractional infinite dimensional systems with finite dimensional boundary controller ⋮ Boundary state feedback control for semilinear fractional-order reaction diffusion systems ⋮ Observer and output feedback control for nonlinear ordinary differential equation coupled to an under‐actuated transport partial differential equation ⋮ Boundary state and output feedback stabilisation of a coupled time fractional hyperbolic equation ⋮ Partial topology identification of tempered fractional‐order complex networks via synchronization method ⋮ Mittag‐Leffler stabilization for coupled fractional reaction‐diffusion neural networks subject to boundary matched disturbance ⋮ Boundary control of coupled non-constant parameter systems of time fractional PDEs with different-type boundary conditions ⋮ Boundary Mittag-Leffler stabilization of coupled time fractional order reaction-advection-diffusion systems with non-constant coefficients ⋮ Observer-based event-triggered control for semilinear time-fractional diffusion systems with distributed feedback ⋮ Boundary stabilization and disturbance rejection for an unstable time fractional diffusion-wave equation ⋮ Boundary state and output feedbacks for underactuated systems of coupled time-fractional PDEs with different space-dependent diffusivity

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