An explicit mapping from linear first order hyperbolic PDEs to difference systems

Systems & Control Letters ◽

10.1016/j.sysconle.2018.11.012 ◽

2019 ◽

Vol 123 ◽

pp. 144-150 ◽

Author(s):

Jean Auriol ◽

Florent Di Meglio

Keyword(s):

Hyperbolic Pdes ◽

First Order ◽

Difference Systems

Download Full-text

Chapter 9: First-Order Hyperbolic PDEs and Delay Equations

Boundary Control of PDEs ◽

10.1137/1.9780898718607.ch9 ◽

2008 ◽

pp. 109-114

Keyword(s):

Delay Equations ◽

Hyperbolic Pdes ◽

Download Full-text

Backstepping Boundary Control for First-Order Hyperbolic PDEs on Inverted Pendulum Stabilization with Constant Input Delay

10.1109/upcon52273.2021.9667567 ◽

2021 ◽

Author(s):

Arnab Pal ◽

Ramashis Banerjee ◽

Debottam Mukherjee ◽

Samrat Chakraborty ◽

Pabitra Kumar Guchhait ◽

...

Keyword(s):

Boundary Control ◽

Inverted Pendulum ◽

Input Delay ◽

Constant Input ◽

Hyperbolic Pdes ◽

Download Full-text

Design of a decoupling controller structure for first order hyperbolic PDEs with distributed control action

Proceedings of the 2010 American Control Conference ◽

10.1109/acc.2010.5530561 ◽

2010 ◽

Author(s):

Franz J Winkler ◽

Boris Lohmann

Keyword(s):

Distributed Control ◽

Control Action ◽

Hyperbolic Pdes ◽

Download Full-text

Adaptive energy-based bilinear control of first-order 1-D hyperbolic PDEs: Application to a one-loop parabolic solar collector trough

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2017.12.003 ◽

2018 ◽

Vol 355 (2) ◽

pp. 827-848 ◽

Author(s):

Sarah Mechhoud ◽

Taous-Meriem Laleg-Kirati

Keyword(s):

Solar Collector ◽

Hyperbolic Pdes ◽

Bilinear Control ◽

Download Full-text

Stability and Freezing of Nonlinear Waves in First Order Hyperbolic PDEs

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-012-9241-x ◽

2012 ◽

Vol 24 (2) ◽

pp. 341-367 ◽

Author(s):

Jens Rottmann-Matthes

Keyword(s):

Nonlinear Waves ◽

Hyperbolic Pdes ◽

Download Full-text

Linear Stability of Traveling Waves in First-Order Hyperbolic PDEs

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-011-9216-3 ◽

2011 ◽

Vol 23 (2) ◽

pp. 365-393 ◽

Author(s):

Jens Rottmann-Matthes

Keyword(s):

Linear Stability ◽

Traveling Waves ◽

Hyperbolic Pdes ◽

Download Full-text

Desingularization of First Order Linear Difference Systems with Rational Function Coefficients

Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '18 ◽

10.1145/3208976.3208989 ◽

2018 ◽

Author(s):

Moulay A. Barkatou ◽

Maximilian Jaroschek

Keyword(s):

Rational Function ◽

Order Linear ◽

First Order ◽

Difference Systems ◽

Linear Difference Systems

Download Full-text

Adaptive bounded bilinear control of coupled first-order 1-D hyperbolic PDEs and infinite ODEs with unknown time-varying source term

International Journal of Control ◽

10.1080/00207179.2020.1836403 ◽

2020 ◽

pp. 1-11

Author(s):

Sarah Mechhoud

Keyword(s):

Source Term ◽

Time Varying ◽

Hyperbolic Pdes ◽

Bilinear Control ◽

Download Full-text

Rational solutions of first order linear difference systems

Proceedings of the 1998 international symposium on Symbolic and algebraic computation - ISSAC '98 ◽

10.1145/281508.281593 ◽

1998 ◽

Author(s):

S. A. Abramov ◽

M. A. Barkatou

Keyword(s):

Rational Solutions ◽

Order Linear ◽

First Order ◽

Difference Systems ◽

Linear Difference Systems

Download Full-text

Asymptotic behaviour of contraction non-autonomous semi-flows in a Banach space: Application to first-order hyperbolic PDEs

10.1016/j.automatica.2015.11.039 ◽

2016 ◽

Vol 65 ◽

pp. 140-146 ◽

Author(s):

Ilyasse Aksikas

Keyword(s):

Banach Space ◽

Asymptotic Behaviour ◽

Space Application ◽

Hyperbolic Pdes ◽

Download Full-text