Compensation of actuator dynamics governed by quasilinear hyperbolic PDEs
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Publication:1642193
DOI10.1016/j.automatica.2018.02.006zbMath1388.93070arXiv1710.07596OpenAlexW2962807437MaRDI QIDQ1642193
Nikolaos Bekiaris-Liberis, Krstić, Miroslav
Publication date: 20 June 2018
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.07596
Control/observation systems governed by partial differential equations (93C20) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Input-output approaches in control theory (93D25) Asymptotic stability in control theory (93D20) First-order hyperbolic equations (35L02)
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Cites Work
- Unnamed Item
- Unnamed Item
- Stability and boundary stabilization of 1-D hyperbolic systems
- Nonlinear stabilization through wave PDE dynamics with a moving uncontrolled boundary
- Boundary observer design for hyperbolic PDE-ODE cascade systems
- Event-based control of linear hyperbolic systems of conservation laws
- Nonlinear control under delays that depend on delayed states
- An extension of the prediction scheme to the case of systems with both input and state delay
- Numerical schemes for nonlinear predictor feedback
- Robustness of nonlinear predictor feedback laws to time- and state-dependent delay perturbations
- On characterizations of the input-to-state stability property
- Stabilization of coupled linear heterodirectional hyperbolic PDE-ODE systems
- Predictor feedback for delay systems: implementations and approximations
- Robust boundary control of systems of conservation laws
- Delay compensation for nonlinear, adaptive, and PDE systems
- On global stabilization of Burgers' equation by boundary control.
- Time-delay systems: an overview of some recent advances and open problems.
- Compensation of input delay that depends on delayed input
- A novel model for intersections of vehicular traffic flow
- Adaptive control scheme for uncertain time-delay systems
- Network models for supply chains
- Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
- Nonlinear Control Under Nonconstant Delays
- Prediction-Based Stabilization of Linear Systems Subject to Input-Dependent Input Delay of Integral-Type
- On the coupling of systems of hyperbolic conservation laws with ordinary differential equations
- Stabilization by Means of Approximate Predictors for Systems with Delayed Input
- Moving Bottlenecks in Car Traffic Flow: A PDE-ODE Coupled Model
- Input Delay Compensation for Forward Complete and Strict-Feedforward Nonlinear Systems
- Lax–Hopf Based Incorporation of Internal Boundary Conditions Into Hamilton–Jacobi Equation. Part I: Theory
- Nonlinear control under wave actuator dynamics with time‐ and state‐dependent moving boundary
- Finite spectrum assignment of unstable time-delay systems with a safe implementation
- On Distributed Delay in Linear Control Laws—Part I: Discrete-Delay Implementations
- Regularity and Lyapunov Stabilization of Weak Entropy Solutions to Scalar Conservation Laws
- Compensation of State-Dependent Input Delay for Nonlinear Systems
- Disturbance rejection in 2 x 2 linear hyperbolic systems
- Forward completeness, unboundedness observability, and their Lyapunov characterizations
