Free Access
Volume 7, 2002
Page(s) 97 - 133
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]
  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.
  3. N.N. Barabanova and A.I. Subbotin, On classes of strategies in differential games of evasion. Prikl. Mat. Mekh. 35 (1971) 385-392.
  4. M. Bardi and I. Capuzzo-Dolcetta, Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. Birkhäuser, Boston (1997).
  5. L.D. Berkovitz, Optimal feedback controls. SIAM J. Control Optim. 27 (1989) 991-1006. [CrossRef] [MathSciNet]
  6. P. Cannarsa and H. Frankowska, Some characterizations of optimal trajectories in control theory. SIAM J. Control Optim. 29 (1991) 1322-1347. [CrossRef] [MathSciNet]
  7. I. Capuzzo-Dolcetta and P.L. Lions, Hamilton-Jacobi equations with state constraints. Trans. Amer. Math. Soc. 318 (1990) 643-683. [CrossRef] [MathSciNet]
  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).
  9. F.H. Clarke, Methods of Dynamic and Nonsmooth Optimization, Vol. 57 of CBMS-NSF Regional Conference Series in Applied Mathematics. SIAM, Philadelphia (1989).
  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]
  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]
  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.
  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]
  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]
  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).
  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]
  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).
  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]
  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]
  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]
  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.
  22. J.-B. Hiriart-Urruty, New concepts in nondifferentiable programming. Bull. Soc. Math. France 60 (1979) 57-85.
  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]
  24. N.N. Krasovskii, Differential games. Approximate and formal models. Mat. Sb. (N.S.) 107 (1978) 541-571. [MathSciNet]
  25. N.N. Krasovskii, Extremal aiming and extremal displacement in a game-theoretical control. Problems Control Inform. Theory 13 (1984) 287-302.
  26. N.N. Krasovskii, Control of dynamical systems. Nauka, Moscow (1985).
  27. N.N. Krasovskii and A.I. Subbotin, Positional Differential Games. Nauka, Moscow (1974). French translation: Jeux Différentielles. Mir, Moscou (1979).
  28. N.N. Krasovskii and A.I. Subbotin, Game-Theoretical Control Problems. Springer-Verlag, New York (1988).
  29. P. Loewen, Optimal Control via Nonsmooth Analysis. CRM Proc. Lecture Notes Amer. Math. Soc. 2 (1993).
  30. S. Nobakhtian and R.J. Stern, Universal near-optimal control feedbacks. J. Optim. Theory Appl. 107 (2000) 89-123. [CrossRef] [MathSciNet]
  31. L. Rifford, Problèmes de Stabilisation en Théorie du Contrôle, Doctoral Thesis. Univ. Claude Bernard Lyon 1 (2000).
  32. L. Rifford, Stabilisation des systèmes globalement asymptotiquement commandables. C. R. Acad. Sci. Paris 330 (2000) 211-216.
  33. L. Rifford, Existence of Lipschitz and semiconcave control-Lyapunov functions. SIAM J. Control Optim. (to appear).
  34. R.T. Rockafellar, Clarke's tangent cones and boundaries of closed sets in Formula . Nonlinear Anal. 3 (1979) 145-154. [CrossRef] [MathSciNet]
  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).
  36. J.D.L. Rowland and R.B. Vinter, Construction of optimal control feedback controls. Systems Control Lett. 16 (1991) 357-357. [CrossRef] [MathSciNet]
  37. M. Soner, Optimal control problems with state-space constraints I. SIAM J. Control Optim. 24 (1986) 551-561.
  38. E.D. Sontag, Mathematical Control Theory, 2nd Ed.. Springer-Verlag, New York, Texts in Appl. Math. 6 (1998).
  39. E.D. Sontag, Clock and insensitivity to small measurement errors. ESAIM: COCV 4 (1999) 537-557. [CrossRef] [EDP Sciences]
  40. A.I. Subbotin, Generalized Solutions of First Order PDE's. Birkhäuser, Boston (1995).
  41. N.N. Subbotina, Universal optimal strategies in positional differential games. Differential Equations 19 (1983) 1377-1382.
  42. N.N. Subbotina, The maximum principle and the superdifferential of the value function. Problems Control Inform. Theory 18 (1989) 151-160.
  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).
  44. R.B. Vinter, Optimal Control. Birkhäuser, Boston (2000).

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