1.
|
Edward Canepa, Christian Claudel,
2013,
Exact solutions to robust control problems involving scalar hyperbolic conservation laws using Mixed Integer Linear Programming,
978-1-4799-3410-2,
478,
10.1109/Allerton.2013.6736563
|
|
2.
|
Nicolás Espitia, Antoine Girard, Nicolas Marchand, Christophe Prieur,
Fluid-flow modeling and stability analysis of communication networks,
2017,
50,
24058963,
4534,
10.1016/j.ifacol.2017.08.727
|
|
3.
|
Michael Herty, Hui Yu,
Feedback boundary control of linear hyperbolic equations with stiff source term,
2018,
91,
0020-7179,
230,
10.1080/00207179.2016.1276635
|
|
4.
|
Jorge A. Laval, Ludovic Leclercq,
Continuum Approximation for Congestion Dynamics Along Freeway Corridors,
2010,
44,
0041-1655,
87,
10.1287/trsc.1090.0294
|
|
5.
|
Michael Herty, Wen-An Yong,
Feedback boundary control of linear hyperbolic systems with relaxation,
2016,
69,
00051098,
12,
10.1016/j.automatica.2016.02.016
|
|
6.
|
Fabio Ancona, Annalisa Cesaroni, Giuseppe M. Coclite, Mauro Garavello,
On the Optimization of Conservation Law Models at a Junction with Inflow and Flow Distribution Controls,
2018,
56,
0363-0129,
3370,
10.1137/18M1176233
|
|
7.
|
Andre F. Caldeira, Christophe Prieur, Daniel Coutinho, Valter J. S. Leite,
2015,
Modeling and control of flow with dynamical boundary actions,
978-1-4799-7787-1,
1579,
10.1109/CCA.2015.7320835
|
|
8.
|
Graziano Guerra, Michael Herty, Francesca Marcellini,
Modeling and analysis of pooled stepped chutes,
2011,
6,
1556-181X,
665,
10.3934/nhm.2011.6.665
|
|
9.
|
Michael Herty, Mohammed Seaïd,
Assessment of coupling conditions in water way intersections,
2013,
71,
02712091,
1438,
10.1002/fld.3719
|
|
10.
|
Mapundi K. Banda, Michael Herty,
Numerical discretization of stabilization problems with boundary controls for systems of hyperbolic conservation laws,
2013,
3,
2156-8499,
121,
10.3934/mcrf.2013.3.121
|
|
11.
|
Michael Herty, Hui Yu,
2016,
Boundary stabilization of hyperbolic conservation laws using conservative finite volume schemes,
978-1-5090-1837-6,
5577,
10.1109/CDC.2016.7799126
|
|
12.
|
Mamadou Diagne, Shu-Xia Tang, Ababacar Diagne, Miroslav Krstic,
Control of shallow waves of two unmixed fluids by backstepping,
2017,
44,
13675788,
211,
10.1016/j.arcontrol.2017.09.003
|
|
13.
|
Y.E. Ge, Chong-Feng Xu, W.Y. Szeto, B.R. Sun, H.M. Zhang, L.W. Zhang,
Investigating freeway traffic hypercongestion between an on-ramp and its immediate upstream off-ramp,
2015,
11,
2324-9935,
187,
10.1080/23249935.2014.945509
|
|
14.
|
Thang V. Pham, Didier Georges, Gildas Besançon,
Receding horizon boundary control of nonlinear conservation laws with shock avoidance,
2012,
48,
00051098,
2244,
10.1016/j.automatica.2012.06.025
|
|
15.
|
M. Dick, M. Gugat, M. Herty, S. Steffensen,
On the relaxation approximation of boundary control of the isothermal Euler equations,
2012,
85,
0020-7179,
1766,
10.1080/00207179.2012.703787
|
|
16.
|
Nicolás Espitia, Antoine Girard, Nicolas Marchand, Christophe Prieur,
Event-based control of linear hyperbolic systems of conservation laws,
2016,
70,
00051098,
275,
10.1016/j.automatica.2016.04.009
|
|
17.
|
Paola Goatin, Simone Göttlich, Oliver Kolb,
Speed limit and ramp meter control for traffic flow networks,
2016,
48,
0305-215X,
1121,
10.1080/0305215X.2015.1097099
|
|
18.
|
Simone Göttlich, Michael Herty, Peter Schillen,
Electric transmission lines: Control and numerical discretization,
2016,
37,
01432087,
980,
10.1002/oca.2219
|
|
19.
|
R. M. Colombo, M. Herty, V. Sachers,
On 2×2 Conservation Laws at a Junction,
2008,
40,
0036-1410,
605,
10.1137/070690298
|
|
20.
|
Stephan Gerster, Felix Nagel, Aleksey Sikstel, Giuseppe Visconti,
Numerical boundary control for semilinear hyperbolic systems,
2022,
0,
2156-8472,
0,
10.3934/mcrf.2022040
|
|
21.
|
Sebastien Blandin, Xavier Litrico, Maria Laura Delle Monache, Benedetto Piccoli, Alexandre Bayen,
Regularity and Lyapunov Stabilization of Weak Entropy Solutions to Scalar Conservation Laws,
2017,
62,
0018-9286,
1620,
10.1109/TAC.2016.2590598
|
|
22.
|
Yacine Chitour, Guilherme Mazanti, Mario Sigalotti,
Persistently damped transport on a network of circles,
2016,
369,
0002-9947,
3841,
10.1090/tran/6778
|
|
23.
|
Simone Göttlich, Peter Schillen,
Numerical Feedback Stabilization with Applications to Networks,
2017,
2017,
1026-0226,
1,
10.1155/2017/6896153
|
|
24.
|
Dong-Xia Zhao, Jun-Min Wang,
2013,
On the stabilization of an irrigation channel with a cascade of 2 pools: A linearized case,
978-1-4673-5769-2,
1,
10.1109/ASCC.2013.6606160
|
|
25.
|
Ghada Ben Belgacem, Chaker Jammazi,
On the finite-time boundary dissipative for a class of hyperbolic systems. The networks example,
2016,
49,
24058963,
186,
10.1016/j.ifacol.2016.07.435
|
|
26.
|
Van Thang Pham, Didier Georges, Gildas Besancon,
2012,
Predictive Control with terminal constraint for 2×2 hyperbolic systems of conservation laws,
978-1-4673-2066-5,
6412,
10.1109/CDC.2012.6426538
|
|
27.
|
Yanning Li, Edward Canepa, Christian Claudel,
Efficient robust control of first order scalar conservation laws using semi-analytical solutions,
2014,
7,
1937-1179,
525,
10.3934/dcdss.2014.7.525
|
|
28.
|
Thang V. Pham, Didier Georges, Gildas Besançon,
Receding Optimal Boundary Control of Non-linear Hyperbolic Systems of Conservation Laws,
2011,
44,
14746670,
8601,
10.3182/20110828-6-IT-1002.01027
|
|
29.
|
Simone Göttlich, Peter Schillen,
Numerical discretization of boundary control problems for systems of balance laws: Feedback stabilization,
2017,
35,
09473580,
11,
10.1016/j.ejcon.2017.02.002
|
|
30.
|
Eduardo Cerpa, Emmanuelle Crépeau, Claudia Moreno,
On the boundary controllability of the Korteweg–de Vries equation on a star-shaped network,
2019,
0265-0754,
10.1093/imamci/dny047
|
|
31.
|
Charlotte Rodriguez,
Networks of geometrically exact beams: Well-posedness and stabilization,
2022,
12,
2156-8472,
49,
10.3934/mcrf.2021002
|
|
32.
|
Min Ni, Xisheng Dai, Jiaming Zhang, Qiqi Wu, Huang Zuo,
2022,
Stability of Linear Hyperbolic Distributed Parameter Systems Based on Event-Triggered Control,
978-1-6654-9675-9,
1358,
10.1109/DDCLS55054.2022.9858478
|
|
33.
|
Yacine Chitour, Guilherme Mazanti, Mario Sigalotti,
Stability of non-autonomous difference equations with applications to transport and wave propagation on networks,
2016,
11,
1556-1801,
563,
10.3934/nhm.2016010
|
|
34.
|
Jan Friedrich, Simone Göttlich, Michael Herty,
Lyapunov Stabilization for Nonlocal Traffic Flow Models,
2023,
61,
0363-0129,
2849,
10.1137/22M152181X
|
|
35.
|
Alexandre M. Bayen, Alexander Keimer, Nils Müller,
A proof of Kirchhoff's first law for hyperbolic conservation laws on networks,
2023,
18,
1556-1801,
1799,
10.3934/nhm.2023078
|
|