@article{AIHPC_2009__26_6_2373_0, author = {Gu, Qilong and Li, Tatsien}, title = {Exact {Boundary} {Controllability} for {Quasilinear} {Wave} {Equations} in a {Planar} {Tree-Like} {Network} of {Strings}}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {2373--2384}, publisher = {Elsevier}, volume = {26}, number = {6}, year = {2009}, doi = {10.1016/j.anihpc.2009.05.002}, mrnumber = {2569899}, zbl = {1180.35326}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2009.05.002/} }
TY - JOUR AU - Gu, Qilong AU - Li, Tatsien TI - Exact Boundary Controllability for Quasilinear Wave Equations in a Planar Tree-Like Network of Strings JO - Annales de l'I.H.P. Analyse non linéaire PY - 2009 SP - 2373 EP - 2384 VL - 26 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2009.05.002/ DO - 10.1016/j.anihpc.2009.05.002 LA - en ID - AIHPC_2009__26_6_2373_0 ER -
%0 Journal Article %A Gu, Qilong %A Li, Tatsien %T Exact Boundary Controllability for Quasilinear Wave Equations in a Planar Tree-Like Network of Strings %J Annales de l'I.H.P. Analyse non linéaire %D 2009 %P 2373-2384 %V 26 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2009.05.002/ %R 10.1016/j.anihpc.2009.05.002 %G en %F AIHPC_2009__26_6_2373_0
Gu, Qilong; Li, Tatsien. Exact Boundary Controllability for Quasilinear Wave Equations in a Planar Tree-Like Network of Strings. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 6, pp. 2373-2384. doi : 10.1016/j.anihpc.2009.05.002. http://www.numdam.org/articles/10.1016/j.anihpc.2009.05.002/
[1] Stabilization of Star-Shaped Networks of Strings, Differential Integral Equations 17 (2004) 1395-1410. | MR | Zbl
, ,[2] Remark on Stabilization of Tree-Shaped Networks of Strings, Appl. Math. 52 (2007) 327-343. | MR | Zbl
, ,[3] Stabilization of Generic Trees of Strings, J. Dyn. Control Syst. 11 (2005) 177-193. | MR | Zbl
, , ,[4] Wave Propagation, Observation and Control in 1-D Flexible Multi-Structures, Math. Appl., vol. 50, 2000. | Zbl
, ,[5] Boundary Control by Semilinear Evolution Equations, Russian Math. Surveys 44 (1989) 183-184. | MR | Zbl
,[6] Modeling, Analysis and Control of Multi-Link Structures, Systems Control Found. Appl., Birhäuser-Basel, 1994. | Zbl
, , ,[7] Exact Controllability of Semilinear Abstract Systems With Applications to Waves and Plates Boundary Control Problems, Appl. Math. Optim. 23 (1991) 109-154. | MR | Zbl
, ,
[8] Semi-Global
[9] Exact Boundary Controllability for Quasilinear Hyperbolic Systems, SIAM J. Control Optim. 41 (2003) 1748-1755. | Zbl
, ,[10] Local Exact Boundary Controllability for a Class of Quasilinear Hyperbolic Systems, Chinese Ann. Math. Ser. B 23 (2002) 209-218. | MR
, ,[11] Contrôlabilité Exacte Frontière Pour Les Équations Des Ondes Quasi Linéaires Unidimensionnelles, C. R. Acad. Sci. Paris Sér. I 337 (2003) 271-276. | MR | Zbl
, ,[12] Exact Boundary Controllability for 1-D Quasilinear Wave Equations, SIAM J. Control Optim. 45 (2006) 1074-1083. | MR | Zbl
, ,[13] Boundary Value Problems for Quasilinear Hyperbolic Systems, Duke Univ. Math. Ser., vol. V, 1985. | Zbl
, ,[14] Contrôlabilité Exacte, Perturbations Et Stabilisation De Systèmes Distribués, Vol. I, Masson, 1988. | Zbl
,[15] Exact Controllability, Stabilization and Perturbations for Distributed Systems, SIAM Rev. 30 (1988) 1-68. | MR | Zbl
,[16] Stabilization of the Wave Equation on 1-D Networks With a Delay Term in the Nodal Feedbacks, Netw. Heterog. Media 2 (2007) 425-479, (electronic). | MR
, ,[17] Controllability and Stabilizability Theory for Linear Partial Differential Equations, Recent Progress and Open Questions, SIAM Rev. 20 (1978) 639-739. | MR | Zbl
,[18] On the Modeling and Exact Controllability of Networks of Vibrating Strings, SIAM J. Control Optim. 30 (1992) 229-245. | MR | Zbl
,[19] Exact Controllability for the Semilinear Wave Equation, J. Math. Pures Appl. 69 (1990) 1-31. | MR | Zbl
,[20] Exact Controllability for Semilinear Wave Equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 10 (1993) 109-129. | Numdam | MR | Zbl
,[21] Controllability of Partial Differential Equations and Its Semi-Discrete Approximation, Discrete Contin. Dyn. Syst. 8 (2002) 469-513. | MR | Zbl
,- Limits of stabilization of a networked hyperbolic system with a circle, Control and Cybernetics, Volume 52 (2023) no. 1, pp. 79-121 | DOI:10.2478/candc-2023-0033 | Zbl:1536.93722
- Exact boundary controllability on a tree-like network of nonlinear planar Timoshenko beams, Chinese Annals of Mathematics. Series B, Volume 38 (2017) no. 3, pp. 711-740 | DOI:10.1007/s11401-017-1092-7 | Zbl:1401.35287
- From phenomena of synchronization to exact synchronization and approximate synchronization for hyperbolic systems, Science China. Mathematics, Volume 59 (2016) no. 1, pp. 1-18 | DOI:10.1007/s11425-015-5107-0 | Zbl:1339.93026
- Exact boundary controllability of nodal profile for quasilinear wave equations in a planar tree-like network of strings, Mathematical Methods in the Applied Sciences, Volume 37 (2014) no. 8, pp. 1206-1218 | DOI:10.1002/mma.2881 | Zbl:1295.35333
- Exact boundary controllability and exact boundary observability for a coupled system of quasilinear wave equations, Chinese Annals of Mathematics. Series B, Volume 34 (2013) no. 4, pp. 479-490 | DOI:10.1007/s11401-013-0785-9 | Zbl:1278.35152
- Exact boundary controllability of nodal profile for unsteady flows on a tree-like network of open canals, Journal de Mathématiques Pures et Appliquées, Volume 99 (2013) no. 1, p. 86 | DOI:10.1016/j.matpur.2012.06.004
- On exact controllability of networks of nonlinear elastic strings in 3-dimensional space, Chinese Annals of Mathematics, Series B, Volume 33 (2012) no. 1, p. 33 | DOI:10.1007/s11401-011-0693-9
- Exact boundary observability for quasilinear wave equations in a planar tree-like network of strings, Journal de Mathématiques Pures et Appliquées. Neuvième Série, Volume 95 (2011) no. 1, pp. 1-17 | DOI:10.1016/j.matpur.2010.06.001 | Zbl:1213.35313
- Exact boundary controllability of nodal profile for quasilinear hyperbolic systems in a tree-like network, Mathematical Methods in the Applied Sciences, Volume 34 (2011) no. 8, pp. 911-928 | DOI:10.1002/mma.1410 | Zbl:1223.35221
- Naghdi’s Shells. Modeling and Control, Modeling and Control in Vibrational and Structural Dynamics (2011), p. 263 | DOI:10.1201/b11042-9
Cité par 10 documents. Sources : Crossref, zbMATH