A Maximum Principle for Optimally Controlled Systems of Conservation Laws

@inproceedings{Bressan2007AMP,
  title={A Maximum Principle for Optimally Controlled Systems of Conservation Laws},
  author={Alberto Bressan and Andrea Marson},
  year={2007}
}
We study a class of optimization problems of Mayer form, for the strictly hyperbolic nonlinear controlled system of conservation laws ut + [F(u)]x = h(t, x, u, z), where z = z(t, x) is the control variable. Introducing a family of «generalized cotangent vectors», we derive necessary conditions for a solution to be optimal, stated in the form of a Maximum Principle. 
Highly Cited
This paper has 21 citations. REVIEW CITATIONS

Citations

Publications citing this paper.
Showing 1-10 of 14 extracted citations

References

Publications referenced by this paper.
Showing 1-7 of 7 references

Lecture notes on systems of conservation laws, S.I.S.S.A

  • A. BRESSAN
  • 1993

Introduction a l’analyse des systemes hyperboliques de lois de conservation non-lineaires

  • M. SCHATZMAN
  • Equipe d’Analyse Numerique Lyon Saint- Etienne,
  • 1985
1 Excerpt

WEN-CI, Boundary value problems for quasilinear hyperbolic systems, Duke University Mathemathics

  • YU LI TA-TSIEN
  • Series V
  • 1985
1 Excerpt

Shock Waves and Reaction-Diffusion Equations, Springer-Verlag, New York

  • J. SMOLLER
  • 1983
1 Excerpt

YANENKO, Systems of Quasi-Linear Equations, A

  • N. B. ROZDESTVENSKII
  • M. S. Translations of Mathematical Monographs…
  • 1983
1 Excerpt

Uniqueness of solutions to hyperbolic conservation laws

  • R. DI PERNA
  • Indiana Univ. Math. J.,
  • 1979
1 Excerpt

PERNA, Entropy and the uniqueness of solutions to hyperbolic conservation laws, in Nonlinear Evolution

  • R DI
  • 1978
1 Excerpt

Similar Papers

Loading similar papers…