On the boundary control of systems of conservation laws

SIAM Journal on Control and Optimization

Volumn 41, Issue 2, 2003, Pages 607-622

  Bressan, Alberto ^a   Coclite, Giuseppe Maria ^a  

^a SISSA   (Italy)

Author keywords

Boundary control; Conservation laws; Hyperbolic system

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA;

CONSERVATION LAWS;

NONLINEAR CONTROL SYSTEMS;

EID: 0037246466     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012901392529     Document Type: Article

References (11)

1. D. AMADORI, Initial-boundary value problems for nonlinear systems of conservation laws, NoDEA Differential Equations Appl., 4 (1997), pp. 1-42.
2. D. AMADORI AND R. M. COLOMBO, Continuous dependence for 2 × 2 conservation laws with boundary, J. Differential Equations, 138 (1997), pp. 229-266.
3. F. ANCONA AND A. MARSON, On the attainable set for scalar nonlinear conservation laws with boundary control, SIAM J. Control Optim., 36 (1998), pp. 290-312.
4. A. BRESSAN, Hyperbolic Systems of Conservation Laws. The One Dimensional Cauchy Problem, Oxford University Press, Oxford, UK, 2000.
5. A. BRESSAN AND R. M. COLOMBO, Decay of positive waves in nonlinear systems of conservation laws, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 26 (1998), pp. 133-160.
6. C. M. DAFERMOS, Hyperbolic Conservation Laws in Continuum Physics, Springer-Verlag, New York, 2000.
7. R. DIPERNA, Global solutions to a class of nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math., 26 (1973), pp. 1-28.
8. P. LAX, Hyperbolic systems of conservation laws II, Comm. Pure Appl. Math., 10 (1957), pp. 537-566.
9. T. LI AND B. RAO, Exact Boundary Controllability for Quasilinear Hyperbolic Systems, to appear.
10. 1 solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems, Chinese Ann. Math. Ser. B, 21 (2000), pp. 165-186.
11. T. LI AND W. YU, Boundary Value Problems for Quasilinear Hyperbolic Systems, Duke University Mathematics Series V, Mathematics Department, Duke University, Durham, NC, 1985.