A note on the exact controllability for nonautonomous hyperbolic systems

Communications on Pure and Applied Analysis

Volumn 6, Issue 1, 2007, Pages 229-235

  Li, Tatsien ^a   Wangi, Zhiqiang ^a  

^a FUDAN UNIVERSITY   (China)

Author keywords

Exact boundary controllability; Mixed initial boundary value problem; Nonautonomous hyperbolic system

Indexed keywords

EID: 34248179588     PISSN: 15340392     EISSN: 15535258     Source Type: Journal    
DOI: 10.3934/cpaa.2007.6.229     Document Type: Article

References (11)

1. J.L. Lions, "Contrôlabilité Exacte, Perturbations et Stabilisation de Systemes Distribués," Vol. I, Masson, 1988.
2. D.L. Russell, Controllability and stabilizability theory for linear partial differential equations: Recent progress and open question, SIAM Rev., 20 (1978), 639-739.
3. E. Zuazua, Exact controllability for the semilinear wave equation, J. Math. Pures et Appl., 69 (1990), 1-31.
4. I. Lasiecka and R. Triggiani, Exact controlibility of semilinear abstract systems with applications to waves and plates boundary control problems, Appl. Math. Opitm., 23 (1991), 109-154.
5. M. Cirinà, Boundary controllability of nonlinear hyperbolic systems, SIAM J. Control Optim., 7 (1969), 198-212.
6. T.T. Li and B.P. Rao, Exact boundary controllability for quasilinear hyperbolic systems, SIAM J. Control Optim, 41 (2003), 1748-1755.
7. T.T. Li and B.P. Rao, Local exact boundary controllability for a class of quasilinear hyperbolic systems, Chin. Ann. Math., 23B (2002), 209-218.
8. T.T. Li, Exact controllability for quasilinear hyperbolic equations(systems) (in Chinese), Appl. Math. J. Chinese Univ., 20A (2005), 127-146.
9. Z.Q. Wang, Exact Controllability for nonautonomous first order quasilinear hyperbolic systems, Chin. Ann. Math., 26B (2006), 643-656.
10. T.T. Li and L.X. Yu, Contrôlabilite exacte frontière pour les équations des ondes quasi linéaires unidimensionnelles, C. R. Acad. Sci. Paris, Serie I, 337(2003), 271-276.
11. T.T. Li and L.X. Yu, Exact boundary controllability for 1-D quasilinear wave equations, SIAM J. Control Optim., 45 (2006), 1074-1083 (electronic).