The exponential tracking and disturbance rejection for the nonlinear wave equation via boundary control without any geometrical conditions on the domain
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Publication:2062602
DOI10.1016/j.jmaa.2021.125863zbMath1480.93343OpenAlexW3216848570WikidataQ115570181 ScholiaQ115570181MaRDI QIDQ2062602
Publication date: 27 December 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125863
disturbance rejectionnonlinear wave equationexponential trackingdynamical regulator equationfeedback and feedforward boundary control
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Nonlinear systems in control theory (93C10) Wave equation (35L05) Exponential stability (93D23)
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Cites Work
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- Control of higher-dimensional PDEs. Flatness and backstepping designs.
- Decay of solutions of wave equations in a bounded region with boundary dissipation
- Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation
- Non homogeneous boundary value problems for second order hyperbolic operators
- A direct method for the boundary stabilization of the wave equation
- Exact controllability for the semilinear wave equation
- Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
- Decay rates for dissipative wave equations
- A mathematical model for the robust blood glucose tracking
- Finite-time output regulation for linear \(2\times 2\) hyperbolic systems using backstepping
- Asymptotic tracking and disturbance rejection of the blood glucose regulation system
- Boundary feedforward and feedback control for the exponential tracking of the unstable high-dimensional wave equation
- Independence of convergence rate of the wave tracking error on structures of feedforward controllers
- Output regulation for linear distributed parameter systems
- The State Feedback Regulator Problem for Regular Linear Systems
- Tracking Control of the Uncertain Heat and Wave Equation via Power-Fractional and Sliding-Mode Techniques
- Uniform Stabilization of the Wave Equation by Nonlinear Boundary Feedback
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Control and Stabilization for the Wave Equation in a Bounded Domain
- The exponential stability of the problem of transmission of the wave equation
- Stabilization and controllability for the transmission wave equation
- Dynamic Compensator Design of Linear Parabolic MIMO PDEs in $N$-Dimensional Spatial Domain
- Nonlinear Output Regulation
- Feedforward Boundary Control for the Regulation of a Passive and Diffusive Scalar in Two-Dimensional Unsteady Flows