Boundary stabilization and disturbance rejection for an unstable time fractional diffusion-wave equation
DOI10.1051/COCV/2022003zbMath1482.35263OpenAlexW4206292162WikidataQ114011503 ScholiaQ114011503MaRDI QIDQ5024343
Bao-Zhu Guo, Hua-Cheng Zhou, Ze-Hao Wu, Yang Quan Chen
Publication date: 31 January 2022
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/cocv/2022003
boundary controldisturbance rejectionfeedback stabilizationbackstepping methoddiffusion-wave equation
Feedback control (93B52) Stabilization of systems by feedback (93D15) Initial-boundary value problems for second-order hyperbolic equations (35L20) Design techniques (robust design, computer-aided design, etc.) (93B51) Initial-boundary value problems for second-order parabolic equations (35K20) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Fractional partial differential equations (35R11)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the lack of controllability of fractional in time ODE and PDE
- Stabilization and control of fractional order systems: a sliding mode approach
- Unknown input observer design and output feedback stabilization for multi-dimensional wave equation with boundary control matched uncertainty
- Mittag-Leffler stability of fractional order nonlinear dynamic systems
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Mittag-Leffler convergent backstepping observers for coupled semilinear subdiffusion systems with spatially varying parameters
- UDE-based robust boundary control for an unstable parabolic PDE with unknown input disturbance
- Lyapunov functions for fractional order systems
- Sliding mode control to stabilization of cascaded heat PDE-ODE systems subject to boundary control matched disturbance
- Periodic input estimation for linear periodic systems: automotive engine applications
- Boundary stabilization and disturbance rejection for time fractional order diffusion-wave equations
- Backstepping observers for a class of parabolic PDEs
- Comparing Fréchet and positive stable laws
- Active disturbance rejection control for nonlinear fractional-order systems
- Error Analysis of a High Order Method for Time-Fractional Diffusion Equations
- Adaptive Output Feedback Stabilization for One-Dimensional Wave Equation with Corrupted Observation by Harmonic Disturbance
- Active Disturbance Rejection Control Approach to Output-Feedback Stabilization of a Class of Uncertain Nonlinear Systems Subject to Stochastic Disturbance
- The Active Disturbance Rejection Control to Stabilization for Multi-Dimensional Wave Equation With Boundary Control Matched Disturbance
- Fractional diffusion and wave equations
- A New Active Disturbance Rejection Control to Output Feedback Stabilization for a One-Dimensional Anti-Stable Wave Equation With Disturbance
- Active disturbance rejection control approach to output‐feedback stabilization of lower triangular nonlinear systems with stochastic uncertainty
- Boundary Feedback Stabilization for an Unstable Time Fractional Reaction Diffusion Equation
- Boundary fractional derivative control of the wave equation
- Regional output feedback stabilization of semilinear time‐fractional diffusion systems in a parallelepipedon with control constraints
- Stabilization of One-Dimensional Wave Equation With Nonlinear Boundary Condition Subject to Boundary Control Matched Disturbance
- Mittag‐Leffler stabilization for an unstable time‐fractional anomalous diffusion equation with boundary control matched disturbance
- Sliding Mode and Active Disturbance Rejection Control to Stabilization of One-Dimensional Anti-Stable Wave Equations Subject to Disturbance in Boundary Input
- Mittag-Leffler Functions, Related Topics and Applications
This page was built for publication: Boundary stabilization and disturbance rejection for an unstable time fractional diffusion-wave equation