Stability and Boundary Stabilization of 1-D Hyperbolic Systems

Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms

Journal of Evolution Equations ◽

10.1007/s00028-018-0449-z ◽

2018 ◽

Vol 18 (3) ◽

pp. 1471-1500 ◽

Cited By ~ 4

Author(s):

Martin Gugat ◽

Vincent Perrollaz ◽

Lionel Rosier

Keyword(s):

Exponential Decay ◽

Hyperbolic Systems ◽

Balance Laws ◽

Source Terms ◽

Boundary Stabilization ◽

Quasilinear Hyperbolic Systems ◽

Systems Of Balance Laws

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Dynamic Boundary Stabilization of Linear Parameter Varying Hyperbolic Systems: Application to a Poiseuille Flow

IFAC Proceedings Volumes ◽

10.3182/20130204-3-fr-4031.00071 ◽

2013 ◽

Vol 46 (3) ◽

pp. 349-354 ◽

Cited By ~ 2

Author(s):

F. Castillo ◽

E. Witrant ◽

L. Dugard

Keyword(s):

Poiseuille Flow ◽

Hyperbolic Systems ◽

Linear Parameter ◽

Boundary Stabilization ◽

Linear Parameter Varying ◽

Dynamic Boundary ◽

Parameter Varying

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Dynamic Boundary Stabilization of First Order Hyperbolic Systems

Recent Results on Time-Delay Systems - Advances in Delays and Dynamics ◽

10.1007/978-3-319-26369-4_9 ◽

2016 ◽

pp. 169-190

Author(s):

Felipe Castillo ◽

Emmanuel Witrant ◽

Christophe Prieur ◽

Luc Dugard

Keyword(s):

Hyperbolic Systems ◽

Boundary Stabilization ◽

First Order ◽

Dynamic Boundary

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Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems

10.1007/978-3-319-18890-4 ◽

2015 ◽

Cited By ~ 7

Author(s):

Martin Gugat

Keyword(s):

Boundary Control ◽

Hyperbolic Systems ◽

Boundary Stabilization ◽

Optimal Boundary ◽

Optimal Boundary Control

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Indirect Boundary Stabilization of Weakly Coupled Hyperbolic Systems

SIAM Journal on Control and Optimization ◽

10.1137/s0363012901385368 ◽

2002 ◽

Vol 41 (2) ◽

pp. 511-541 ◽

Cited By ~ 46

Author(s):

Fatiha Alabau-Boussouira

Keyword(s):

Hyperbolic Systems ◽

Boundary Stabilization ◽

Weakly Coupled

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Boundary Stabilization of Hyperbolic Systems with no Dissipative Conditions

SIAM Journal on Control and Optimization ◽

10.1137/0320061 ◽

1982 ◽

Vol 20 (6) ◽

pp. 862-883 ◽

Cited By ~ 4

Author(s):

Sun Shunhua

Keyword(s):

Hyperbolic Systems ◽

Boundary Stabilization

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Supplement to: 'Boundary stabilization of hyperbolic systems related to overhead cranes' [H. Sano, IMA J. Math. Control Inf. (2008) vol. 25, 353-366, doi:10.1093/imamci/dnm031]

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnp011 ◽

2009 ◽

Vol 26 (2) ◽

pp. 231-237

Author(s):

H. Sano

Keyword(s):

Hyperbolic Systems ◽

Boundary Stabilization ◽

Overhead Cranes

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Singularities of elliptic mixed boundary problems. Application to boundary stabilization of hyperbolic systems

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543810030132 ◽

2010 ◽

Vol 270 (1) ◽

pp. 172-183

Author(s):

J. -P. Lohéac

Keyword(s):

Mixed Boundary ◽

Hyperbolic Systems ◽

Boundary Stabilization ◽

Boundary Problems ◽

Mixed Boundary Problems

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Dynamic boundary stabilization of linear and quasi-linear hyperbolic systems

2012 IEEE 51st IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2012.6426802 ◽

2012 ◽

Cited By ~ 14

Author(s):

Felipe Castillo ◽

Emmanuel Witrant ◽

Christophe Prieur ◽

Luc Dugard

Keyword(s):

Hyperbolic Systems ◽

Boundary Stabilization ◽

Dynamic Boundary

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Boundary stabilization of weakly coupled hyperbolic systems by one control force

Proceedings of the 41st IEEE Conference on Decision and Control, 2002. ◽

10.1109/cdc.2002.1184313 ◽

2003 ◽

Author(s):

F. Alabau-Boussouira

Keyword(s):

Hyperbolic Systems ◽

Control Force ◽

Boundary Stabilization ◽

Weakly Coupled

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