Boundary Mittag-Leffler stabilization of coupled time fractional order reaction-advection-diffusion systems with non-constant coefficients
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Publication:2242976
DOI10.1016/j.sysconle.2021.104875zbMath1478.93499OpenAlexW3124703675MaRDI QIDQ2242976
Eduard Petlenkov, Aleksei Tepljakov, Bo Zhuang, Juan Chen, Yang Quan Chen
Publication date: 10 November 2021
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2021.104875
backsteppingnon-constant coefficientsboundary Mittag-Leffler stabilizationcoupled time fractional order reaction-advection-diffusion systems
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Reaction-diffusion equations (35K57) Fractional partial differential equations (35R11)
Related Items (7)
Mittag-Leffler stabilization of fractional infinite dimensional systems with finite dimensional boundary controller ⋮ Robust point control for a class of fractional-order reaction-diffusion systems via non-collocated point measurement ⋮ Reference tracking problem for boundary controlled time fractional advection dispersion equation in the presence of disturbances ⋮ Boundary stabilization for time-space fractional diffusion equation ⋮ Observer design for time fractional reaction–diffusion systems with spatially varying coefficients and weighted spatial averages measurement ⋮ Boundary state feedback control for semilinear fractional-order reaction diffusion systems ⋮ Synchronization of fractional-order reaction-diffusion neural networks via mixed boundary control
Cites Work
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- Compact exponential scheme for the time fractional convection-diffusion reaction equation with variable coefficients
- Boundary control of coupled reaction-diffusion processes with constant parameters
- Nonlocal Cauchy problem for fractional evolution equations
- Fractional theory for transport in disordered semiconductors
- Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- Fractional-order systems and controls. Fundamentals and applications
- Compensating actuator and sensor dynamics governed by diffusion PDEs
- Tracking control for boundary controlled parabolic PDEs with varying parameters: combining backstepping and differential flatness
- Fractals and fractional calculus in continuum mechanics
- Mittag-Leffler convergent backstepping observers for coupled semilinear subdiffusion systems with spatially varying parameters
- Boundary time-varying feedbacks for fixed-time stabilization of constant-parameter reaction-diffusion systems
- A compact integrated RBF method for time fractional convection-diffusion-reaction equations
- Stability of partial difference equations governing control gains in infinite-dimensional backstepping
- On control design for PDEs with space-dependent diffusivity or time-dependent reactivity
- Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method
- Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs
- Boundary Control of PDEs
- Solitary Wave Collisions
- Completely monotonic functions
- Backstepping Control of Coupled Linear Parabolic PIDEs With Spatially Varying Coefficients
- Fractional-order Modeling and Control of Dynamic Systems
- Boundary Feedback Stabilization for an Unstable Time Fractional Reaction Diffusion Equation
- Boundary Exponential Stabilization of 1-Dimensional Inhomogeneous Quasi-Linear Hyperbolic Systems
- Efficient compact finite difference methods for a class of time-fractional convection–reaction–diffusion equations with variable coefficients
- Mittag‐Leffler stabilization for an unstable time‐fractional anomalous diffusion equation with boundary control matched disturbance
- Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
- Boundary Control of Coupled Reaction-Advection-Diffusion Systems With Spatially-Varying Coefficients
- Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. III.
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