Backstepping synthesis for feedback control of first-order hyperbolic PDEs with spatial-temporal actuation
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Publication:1724653
DOI10.1155/2014/643640zbMath1474.93184OpenAlexW2059583479WikidataQ59040308 ScholiaQ59040308MaRDI QIDQ1724653
Huacheng Jiang, Xin Yu, Arthi Ganesan, Guojie Zheng, Chao Xu
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/643640
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Stabilization of systems by feedback (93D15)
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Cites Work
- Unnamed Item
- Control of higher-dimensional PDEs. Flatness and backstepping designs.
- Representation and control of infinite dimensional systems
- Magnetohydrodynamic state estimation with boundary sensors
- Tracking control for boundary controlled parabolic PDEs with varying parameters: combining backstepping and differential flatness
- Stabilization of linearized 2D magnetohydrodynamic channel flow by backstepping boundary control
- Semigroups of linear operators and applications to partial differential equations
- The regulator problem for parabolic equations with Dirichlet boundary control. I: Riccati's feedback synthesis and regularity of optimal solution
- The regulator problem for parabolic equations with Dirichlet boundary control. II: Galerkin approximation
- Adaptive nonlinear control without overparametrization
- Stability and stabilization of infinite dimensional systems with applications
- Eventual regularity of the semigroup associated with the mono-tubular heat exchanger equation with output feedback
- Output-feedback stabilization of an unstable wave equation
- Exponential stability of a mono-tubular heat exchanger equation with output feedback
- Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays
- Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
- Boundary Control of PDEs
- Stabilization of a rotating body beam without damping
- Boundary Feedback Stabilization of an Unstable Heat Equation
- A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws
- A Closed-Form Feedback Controller for Stabilization of the Linearized 2-D Navier–Stokes Poiseuille System
- Disturbance rejection in 2 x 2 linear hyperbolic systems
- Rapid Stabilization for a Korteweg-de Vries Equation From the Left Dirichlet Boundary Condition
- Exact and Approximate Controllability for Distributed Parameter Systems
- Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions