Free Access
Issue
ESAIM: COCV
Volume 16, Number 1, January-March 2010
Page(s) 176 - 193
DOI https://doi.org/10.1051/cocv:2008076
Published online 19 December 2008
  1. A. Back, J. Gukenheimer and M. Myers, A dynamical simulation facility for hybrid systems, in Workshop on Theory of Hybrid Systems, R.L. Grossman, A. Nerode, A.P. Rava and H. Rischel Eds., Lect. Notes Comput. Sci. 736, Springer, New York (1993) 255–267. [Google Scholar]
  2. G. Barles, Solutions de viscosité des équations de Hamilton Jacobi, Mathématiques et Applications 17. Springer, Paris (1994). [Google Scholar]
  3. G. Barles, S. Biton and O. Ley, Uniqueness for Parabolic equations without growth condition and applications to the mean curvature flow in Formula . J. Differ. Equ. 187 (2003) 456–472. [CrossRef] [Google Scholar]
  4. M. Bardi and C. Dolcetta, Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. Birkhauser, Boston (1997). [Google Scholar]
  5. M.S. Branicky, Studies in hybrid systems: Modeling, analysis and control. Ph.D. Dissertation, Dept. Elec. Eng. Computer Sci., MIT Cambridge, USA (1995). [Google Scholar]
  6. M.S. Branicky, V. Borkar and S. Mitter, A unified framework for hybrid control problem. IEEE Trans. Automat. Contr. 43 (1998) 31–45. [CrossRef] [Google Scholar]
  7. M.G. Crandall, H. Ishii and P.L. Lions, User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Soc. 27 (1992) 1–67. [CrossRef] [MathSciNet] [Google Scholar]
  8. S. Dharmatti and M. Ramaswamy, Hybrid control system and viscosity solutions. SIAM J. Contr. Opt. 34 (2005) 1259–1288. [CrossRef] [Google Scholar]
  9. S. Dharmatti and M. Ramaswamy, Zero sum differential games involving hybrid controls. J. Optim. Theory Appl. 128 (2006) 75–102. [CrossRef] [MathSciNet] [Google Scholar]
  10. N.G. Galbraith and R.B. Vinter, Optimal control of hybrid systems with an infinite set of discrete states. J. Dyn. Contr. Syst. 9 (2003) 563–584. [CrossRef] [Google Scholar]
  11. O. Ley, Lower-bound gradient estimates for first-order Hamilton-Jacobi equations and applications to the regularity of propagating fronts. Adv. Differ. Equ. 6 (2001) 547–576. [Google Scholar]
  12. P.P. Varaiya, Smart cars on smart roads: problems of control. IEEE Trans. Automat. Contr. 38 (1993) 195–207. [CrossRef] [Google Scholar]

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