On global stabilization of Burgers' equation by boundary control

Systems and Control Letters

Volumn 37, Issue 3, 1999, Pages 123-141

  Krstic, Miroslav ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Boundary control; Burgers' equation; Nonlinear control; Stabilization

Indexed keywords

EID: 0001054808     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(99)00013-4     Document Type: Article

References (10)

1. J.A. Burns, S. Kang, A control problem for Burgers' equation with bounded input/output, Nonlinear Dynamics 2 (1991) 235-262.
2. C.I. Byrnes, D.S. Gilliam, V.I. Shubov, On the global dynamics of a controlled viscous Burgers' equation, J. Dynam. Control Systems 4 (4) (1998) 457-519.
3. H. Choi, R. Temam, P. Moin, J. Kim, Feedback control for unsteady flow and its application to the stochastic Burgers' equation, J. Fluid Mech. 253 (1993) 509-543.
4. H. Deng, M. Krstić, Stabilization of stochastic nonlinear systems driven by noise of unknown covariance, IEEE Trans. Automat. Control, submitted for publication.
5. K. Ito, S. Kang, A dissipative feedback control for systems arising in fluid dynamics, SIAM J. Control Optim. 32 (1994) 831-854.
6. K. Ito, Y. Yan, Viscous scalar conservation laws with nonlinear flux feedback and global attractors, J. Math. Anal. Appl. 227 (1998) 271-299.
7. H. Khalil, Nonlinear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1995.
8. M. Krstić, I. Kanellakopoulos, P.V. Kokotović, Nonlinear and Adaptive Control Design, Wiley, New York, 1995.
9. H. Van Ly, K.D. Mease, E.S. Titi, Distributed and boundary control of the viscous Burgers' equation, Numer. Funct. Anal. Optim. 18 (1997) 143-188.
10. J.A. Walker, Dynamical Systems and Evolution Equations, Plenum Press, New York, 1980.