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ESAIM: COCV
Volume 18, Number 1, January-March 2012
Page(s) 124 - 156
DOI http://dx.doi.org/10.1051/cocv/2010053
Published online 23 December 2010
  1. J.P. Aubin and A. Cellina, Differential inclusions. Springer-Verlag, Berlin (1984).
  2. M. Bardi and I. Capuzzo-Dolcetta, Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Birkhäuser, Boston (1997).
  3. V.G. Boltyanskii, Sufficient conditions for optimality and the justification of the dynamic programming principle. SIAM J. Control Optim. 4 (1966) 326–361. [CrossRef] [MathSciNet]
  4. A. Bressan, Differential inclusions and the control of forest fires. J. Differ. Equ. 243 (2007) 179–207. [CrossRef]
  5. A. Bressan and C. De Lellis, Existence of optimal strategies for a fire confinement problem. Comm. Pure Appl. Math. 62 (2009) 789–830. [CrossRef] [MathSciNet]
  6. A. Bressan and Y. Hong, Optimal control problems on stratified domains. NHM 2 (2007) 313–331. [CrossRef] [MathSciNet]
  7. A. Bressan and B. Piccoli, Introduction to the Mathematical Theory of Control, AIMS Series in Applied Mathematics 2. AIMS, Springfield Mo. (2007).
  8. A. Bressan and T. Wang, The minimum speed for a blocking problem on the half plane. J. Math. Anal. Appl. 356 (2009) 133–144. [CrossRef] [MathSciNet]
  9. A. Bressan and T. Wang, Equivalent formulation and numerical analysis of a fire confinement problem. ESAIM : COCV 16 (2010) 974–1001. [CrossRef] [EDP Sciences]
  10. A. Bressan, M. Burago, A. Friend and J. Jou, Blocking strategies for a fire control problem. Analysis and Applications 6 (2008) 229–246. [CrossRef] [MathSciNet]
  11. P. Brunovský, Every normal linear system has a regular time-optimal synthesis. Math. Slovaca 28 (1978) 81–100. [MathSciNet]
  12. F.H. Clarke, Optimization and Nonsmooth Analysis. Second edition, SIAM, Philadelphia (1990).
  13. W.H. Fleming and R.W. Rishel, Deterministic and Stochastic Optimal Control. Springer-Verlag, New York (1975).
  14. A.D. Ioffe and V.M. Tihomirov, Theory of Extremal Problems. North-Holland, New York (1974) 233–235.
  15. R. Vinter, Optimal Control. Birkhäuser, Boston (2000).