Regional stability and stabilization of a class of linear hyperbolic systems with nonlinear quadratic dynamic boundary conditions
DOI10.1016/j.ejcon.2018.05.003zbMath1402.93139OpenAlexW2804915021WikidataQ129766298 ScholiaQ129766298MaRDI QIDQ1627542
Christophe Prieur, Valter J. S. Leite, André F. Caldeira, Daniel F. Coutinho
Publication date: 30 November 2018
Published in: European Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejcon.2018.05.003
Sensitivity (robustness) (93B35) Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Robust stability (93D09) First-order hyperbolic systems (35L40)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Stability and boundary stabilization of 1-D hyperbolic systems
- Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws
- On boundary feedback stabilization of non-uniform linear \(2\times 2\) hyperbolic systems over a bounded interval
- Nonlinear and robust control of PDE systems. Methods and applications to transport-reaction processes
- Tikhonov theorem for linear hyperbolic systems
- State feedback design for input-saturating quadratic systems
- Boundary observers for linear and quasi-linear hyperbolic systems with application to flow control
- On the region of attraction of nonlinear quadratic systems
- Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays
- An optimisation approach for stability analysis and controller synthesis of linear hyperbolic systems
- A multi-model approach to Saint-Venant equations: A stability study by LMIs
- Stability of Switched Linear Hyperbolic Systems by Lyapunov Techniques
- Extended H 2 and H norm characterizations and controller parametrizations for discrete-time systems
- Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
- Linear Matrix Inequalities in System and Control Theory
- LMI Techniques for Optimization Over Polynomials in Control: A Survey
- Nonlinear State Feedback Design With a Guaranteed Stability Domain for Locally Stabilizable Unstable Quadratic Systems
- A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws
- ℒ︁2‐Gain analysis and control of uncertain nonlinear systems with bounded disturbance inputs
This page was built for publication: Regional stability and stabilization of a class of linear hyperbolic systems with nonlinear quadratic dynamic boundary conditions
