Numerical boundary feedback stabilisation of non-uniform hyperbolic systems of balance laws (original) (raw)
Related papers
Applied Mathematics & Optimization, 2020
arXiv: Optimization and Control, 2020
arXiv: Optimization and Control, 2020
Lyapunov exponential stability of linear hyperbolic systems of balance laws
2008 47th IEEE Conference on Decision and Control, 2008
Dynamic boundary stabilization of linear and quasi-linear hyperbolic systems
2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012
Mathematical Control & Related Fields, 2013
Finite-Time Stabilization of Hyperbolic Systems Over a Bounded Interval
1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations (2013), 2013
A Discrete Analogue of the Lyapunov Function for Hyperbolic Systems
Journal of Mathematical Sciences
On stability of nonlinear hyperbolic systems with reaction and switching
2013 American Control Conference, 2013
11th Workshop on Time-Delay Systems, 2013
On boundary control design for quasilinear hyperbolic systems with entropies as Lyapunov functions
Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2002
2017 IEEE 56th Annual Conference on Decision and Control (CDC)
A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws
IEEE Transactions on Automatic Control, 2000
Finite-Time Stabilization of 2times22\times22times2 Hyperbolic Systems on Tree-Shaped Networks
SIAM Journal on Control and Optimization, 2014
Stability and convergence of relaxation schemes to hyperbolic balance laws via a wave operator
Journal of Hyperbolic Differential Equations, 2015
Two-point Output Feedback Boundary Control for Semilinear Hyperbolic Systems
IFAC-PapersOnLine, 2019
Stabilization of hyperbolic and parabolic systems with nonlinearly perturbed boundary conditions
Journal of Differential Equations, 1988
Regional Boundary Controllability of Hyperbolic Systems. Numerical Approach
Journal of Dynamical and Control Systems - J DYN CONTROL SYST, 2002
Boundary control of hyperbolic conservation laws using a frequency domain approach
Automatica, 2009
Feedback stabilization of bilinear coupled hyperbolic systems
Discrete & Continuous Dynamical Systems - S, 2021
Automatica
Staggered finite difference schemes for balance laws
2004
Numerical methods for nonconservative hyperbolic systems: A theoretical framework
SIAM journal on numerical analysis, 2007
Consistency and Convergence of Finite Volume Approximations to Nonlinear Hyperbolic Balance Laws
arXiv: Numerical Analysis, 2020
Steady-state analysis for a class of hyperbolic systems with boundary inputs
Archives of Control Sciences, 2013
On stability of the difference splitting scheme for hyperbolic systems
Uzbek Mathematical Journal, 2018
2013
Stability Analysis for a Class of Linear 2x2 Hyperbolic PDEs Using a Backstepping Transform
IEEE Transactions on Automatic Control
On the boundary controllability of first-order hyperbolic systems
Nonlinear Analysis: Theory, Methods & Applications, 2005
Proceedings of the 44th IEEE Conference on Decision and Control, 2005
Optimality conditions for solutions to hyperbolic balance laws
Contemporary Mathematics, 2007
A remark on the Glimm scheme for inhomogeneous hyperbolic systems of balance laws
Journal of Hyperbolic Differential Equations, 2015
Control Theory and Informatics, 2016
On some difficulties of the numerical approximation of nonconservative hyperbolic systems
Bol. Soc. Esp. Mat. Apl, 2009