Boundary state and output feedbacks for underactuated systems of coupled time-fractional PDEs with different space-dependent diffusivity
From MaRDI portal
Publication:5026586
DOI10.1080/00207721.2020.1803442zbMath1483.93191OpenAlexW3048785731WikidataQ114101579 ScholiaQ114101579MaRDI QIDQ5026586
Eduard Petlenkov, Juan Chen, Aleksei Tepljakov, Bo Zhuang
Publication date: 8 February 2022
Published in: International Journal of Systems Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207721.2020.1803442
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Fractional partial differential equations (35R11) Observers (93B53)
Related Items
Asymptotic stabilisation of coupled delayed time fractional reaction diffusion systems with boundary input disturbances via backstepping sliding-mode control, Observer design for time fractional reaction–diffusion systems with spatially varying coefficients and weighted spatial averages measurement, Integral of motion and nonlinear dynamics of three Duffing oscillators with weak or strong bidirectional coupling, Boundary stabilisation of fractional reaction-diffusion systems with time-varying delays, Boundary state and output feedback stabilisation of a coupled time fractional hyperbolic equation, Boundary control of coupled non-constant parameter systems of time fractional PDEs with different-type boundary conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Robust stability and stabilization of fractional-order linear systems with polytopic uncertainties
- On the lack of controllability of fractional in time ODE and PDE
- Boundary control of coupled reaction-diffusion processes with constant parameters
- Nonlocal Cauchy problem for fractional evolution equations
- Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
- Mittag-Leffler stability of fractional order nonlinear dynamic systems
- Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
- Mittag-Leffler convergent backstepping observers for coupled semilinear subdiffusion systems with spatially varying parameters
- Exact solutions and maximal dimension of invariant subspaces of time fractional coupled nonlinear partial differential equations
- Second-grade fluid model with Caputo-Liouville generalized fractional derivative
- SIR epidemic model with Mittag-Leffler fractional derivative
- Mittag-Leffler stability for a new coupled system of fractional-order differential equations with impulses
- Backstepping observers for a class of parabolic PDEs
- On control design for PDEs with space-dependent diffusivity or time-dependent reactivity
- Boundary Control of PDEs
- Solitary Wave Collisions
- Completely monotonic functions
- Backstepping Control of Coupled Linear Parabolic PIDEs With Spatially Varying Coefficients
- Global Practical Mittag Leffler Stabilization by Output Feedback for a Class Of Nonlinear Fractional‐Order Systems
- Boundary Feedback Stabilization for an Unstable Time Fractional Reaction Diffusion Equation
- Finite‐time stability of linear fractional‐order time‐delay systems
- Exponential form for Lyapunov function and stability analysis of the fractional differential equations
- 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
- Stabilization of a System of <formula formulatype="inline"> <tex Notation="TeX">$n+1$</tex></formula> Coupled First-Order Hyperbolic Linear PDEs With a Single Boundary Input
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. III.