Free Access
Issue
ESAIM: COCV
Volume 7, 2002
Page(s) 97 - 133
DOI https://doi.org/10.1051/cocv:2002005
Published online 15 September 2002
  1. F. Ancona and A. Bressan, Patchy vector fields and asymptotic stabilization. ESAIM: COCV 4 (1999) 445-471. [CrossRef] [EDP Sciences] [Google Scholar]
  2. N.N. Barabanova and A.I. Subbotin, On continuous evasion strategies in game theoretic problems on the encounter of motions. Prikl. Mat. Mekh. 34 (1970) 796-803. [Google Scholar]
  3. N.N. Barabanova and A.I. Subbotin, On classes of strategies in differential games of evasion. Prikl. Mat. Mekh. 35 (1971) 385-392. [Google Scholar]
  4. M. Bardi and I. Capuzzo-Dolcetta, Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. Birkhäuser, Boston (1997). [Google Scholar]
  5. L.D. Berkovitz, Optimal feedback controls. SIAM J. Control Optim. 27 (1989) 991-1006. [CrossRef] [MathSciNet] [Google Scholar]
  6. P. Cannarsa and H. Frankowska, Some characterizations of optimal trajectories in control theory. SIAM J. Control Optim. 29 (1991) 1322-1347. [CrossRef] [MathSciNet] [Google Scholar]
  7. I. Capuzzo-Dolcetta and P.L. Lions, Hamilton-Jacobi equations with state constraints. Trans. Amer. Math. Soc. 318 (1990) 643-683. [CrossRef] [MathSciNet] [Google Scholar]
  8. F.H. Clarke, Optimization and Nonsmooth Analysis. Wiley-Interscience, New York (1983). Republished as Vol. 5 of Classics in Appl. Math. SIAM, Philadelphia (1990). [Google Scholar]
  9. F.H. Clarke, Methods of Dynamic and Nonsmooth Optimization, Vol. 57 of CBMS-NSF Regional Conference Series in Applied Mathematics. SIAM, Philadelphia (1989). [Google Scholar]
  10. F.H. Clarke, Yu.S. Ledyaev, L. Rifford and R.J. Stern, Feedback stabilization and Lyapunov functions. SIAM J. Control Optim. 39 (2000) 25-48. [CrossRef] [MathSciNet] [Google Scholar]
  11. F.H. Clarke, Yu.S. Ledyaev, E.D. Sontag and A.I. Subbotin, Asymptotic controllability implies control feedback stabilization. IEEE Trans. Automat. Control 42 (1997) 1394. [CrossRef] [MathSciNet] [Google Scholar]
  12. F.H. Clarke, Yu.S. Ledyaev and R.J. Stern, Proximal analysis and control feedback construction. Proc. Steklov Inst. Math. 226 (2000) 1-20. [Google Scholar]
  13. F.H. Clarke, Yu.S. Ledyaev, R.J. Stern and P.R. Wolenski, Qualitative properties of trajectories of control systems: A survey. J. Dynam. Control Systems 1 (1995) 1-48. [CrossRef] [MathSciNet] [Google Scholar]
  14. F.H. Clarke, Yu.S. Ledyaev and A.I. Subbotin, Universal feedback strategies for differential games of pursuit. SIAM J. Control Optim. 35 (1997) 552-561. [CrossRef] [MathSciNet] [Google Scholar]
  15. F.H. Clarke, Yu.S. Ledyaev and A.I. Subbotin, Universal positional control. Proc. Steklov Inst. Math. 224 (1999) 165-186. Preliminary version: Preprint CRM-2386. Univ. de Montréal (1994). [Google Scholar]
  16. F.H. Clarke, Yu.S. Ledyaev and R.J. Stern, Complements, approximations, smoothings and invariance properties. J. Convex Anal. 4 (1997) 189-219. [MathSciNet] [Google Scholar]
  17. F.H. Clarke, Yu.S. Ledyaev, R.J. Stern and P.R. Wolenski, Nonsmooth Analysis and Control Theory. Springer-Verlag, New York, Grad. Texts in Math. 178 (1998). [Google Scholar]
  18. F.H. Clarke, R.J. Stern and P.R. Wolenski, Proximal smoothness and the lower-C2 property. J. Convex Anal. 2 (1995) 117-145. [MathSciNet] [Google Scholar]
  19. F. Forcellini and F. Rampazzo, On nonconvex differential inclusions whose state is constrained in the closure of an open set. Applications to dynamic programming. Differential and Integral Equations 12 (1999) 471-497. [MathSciNet] [Google Scholar]
  20. H. Frankowska and F. Rampazzo, Filippov's and Filippov-Wazewski's theorems on closed domains. J. Differential Equations 161 (2000) 449-478. [CrossRef] [MathSciNet] [Google Scholar]
  21. G.G. Garnysheva and A.I. Subbotin, Suboptimal universal strategies in a game-theoretic time-optimality problem. Prikl. Mat. Mekh. 59 (1995) 707-713. [Google Scholar]
  22. J.-B. Hiriart-Urruty, New concepts in nondifferentiable programming. Bull. Soc. Math. France 60 (1979) 57-85. [Google Scholar]
  23. H. Ishii and S. Koike, On ε-optimal controls for state constraint problems. Ann. Inst. H. Poincaré Anal. Linéaire 17 (2000) 473-502. [CrossRef] [Google Scholar]
  24. N.N. Krasovskii, Differential games. Approximate and formal models. Mat. Sb. (N.S.) 107 (1978) 541-571. [MathSciNet] [Google Scholar]
  25. N.N. Krasovskii, Extremal aiming and extremal displacement in a game-theoretical control. Problems Control Inform. Theory 13 (1984) 287-302. [Google Scholar]
  26. N.N. Krasovskii, Control of dynamical systems. Nauka, Moscow (1985). [Google Scholar]
  27. N.N. Krasovskii and A.I. Subbotin, Positional Differential Games. Nauka, Moscow (1974). French translation: Jeux Différentielles. Mir, Moscou (1979). [Google Scholar]
  28. N.N. Krasovskii and A.I. Subbotin, Game-Theoretical Control Problems. Springer-Verlag, New York (1988). [Google Scholar]
  29. P. Loewen, Optimal Control via Nonsmooth Analysis. CRM Proc. Lecture Notes Amer. Math. Soc. 2 (1993). [Google Scholar]
  30. S. Nobakhtian and R.J. Stern, Universal near-optimal control feedbacks. J. Optim. Theory Appl. 107 (2000) 89-123. [CrossRef] [MathSciNet] [Google Scholar]
  31. L. Rifford, Problèmes de Stabilisation en Théorie du Contrôle, Doctoral Thesis. Univ. Claude Bernard Lyon 1 (2000). [Google Scholar]
  32. L. Rifford, Stabilisation des systèmes globalement asymptotiquement commandables. C. R. Acad. Sci. Paris 330 (2000) 211-216. [Google Scholar]
  33. L. Rifford, Existence of Lipschitz and semiconcave control-Lyapunov functions. SIAM J. Control Optim. (to appear). [Google Scholar]
  34. R.T. Rockafellar, Clarke's tangent cones and boundaries of closed sets in Formula . Nonlinear Anal. 3 (1979) 145-154. [CrossRef] [MathSciNet] [Google Scholar]
  35. R.T. Rockafellar, Favorable classes of Lipschitz continuous functions in subgradient optimization, in Nondifferentiable Optimization, edited by E. Nurminski. Permagon Press, New York (1982). [Google Scholar]
  36. J.D.L. Rowland and R.B. Vinter, Construction of optimal control feedback controls. Systems Control Lett. 16 (1991) 357-357. [CrossRef] [MathSciNet] [Google Scholar]
  37. M. Soner, Optimal control problems with state-space constraints I. SIAM J. Control Optim. 24 (1986) 551-561. [Google Scholar]
  38. E.D. Sontag, Mathematical Control Theory, 2nd Ed.. Springer-Verlag, New York, Texts in Appl. Math. 6 (1998). [Google Scholar]
  39. E.D. Sontag, Clock and insensitivity to small measurement errors. ESAIM: COCV 4 (1999) 537-557. [CrossRef] [EDP Sciences] [Google Scholar]
  40. A.I. Subbotin, Generalized Solutions of First Order PDE's. Birkhäuser, Boston (1995). [Google Scholar]
  41. N.N. Subbotina, Universal optimal strategies in positional differential games. Differential Equations 19 (1983) 1377-1382. [Google Scholar]
  42. N.N. Subbotina, The maximum principle and the superdifferential of the value function. Problems Control Inform. Theory 18 (1989) 151-160. [Google Scholar]
  43. N.N. Subbotina, On structure of optimal feedbacks to control problems, Preprints of the eleventh IFAC International Workshop, Control Applications of Optimization, edited by V. Zakharov (2000). [Google Scholar]
  44. R.B. Vinter, Optimal Control. Birkhäuser, Boston (2000). [Google Scholar]

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