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All issues Volume 4 (1999) ESAIM: COCV, 4 (1999) 445-471 References
Free Access
Issue
ESAIM: COCV
Volume 4, 1999
Page(s) 445 - 471
DOI https://doi.org/10.1051/cocv:1999117
Published online 15 August 2002
  1. Z. Artstein, Stabilization with relaxed controls. Nonlinear Anal. 7 (1983) 1163-1173. [CrossRef] [MathSciNet] [Google Scholar]
  2. A. Bacciotti, Local stabilizability of nonlinear control systems. Series on advances in mathematics for applied sciences 8, World Scientific, Singapore (1992). [Google Scholar]
  3. R.W. Brockett, Asymptotic stability and feedback stabilization, in Differential Geometric Control Theory, R.W. Brockett, R.S. Millman and H.J. Sussmann, Eds., Birkhauser, Boston (1983) 181-191. [Google Scholar]
  4. F.H. Clarke, Yu.S. Ledyaev, E.D. Sontag and A.I. Subbotin, Asymptotic controllability implies feedback stabilization. IEEE Trans. Automat. Control 42 (1997) 1394-1407. [CrossRef] [MathSciNet] [Google Scholar]
  5. F.H. Clarke, Yu.S. Ledyaev, L. Rifford and R.J. Stern, Feedback stabilization and Lyapunov functions, to appear. [Google Scholar]
  6. F.H. Clarke, Yu.S. Ledyaev, R.J. Stern and P.R. Wolenski, Qualitative properties of trajectories of control systems: A survey. J. Dynamic Control Systems 1 (1995) 1-47. [Google Scholar]
  7. F.H. Clarke, Yu.S. Ledyaev, R.J. Stern and P.R. Wolenski, Nonsmooth analysis and control theory 178, Springer-Verlag, New York (1998). [Google Scholar]
  8. G. Colombo, On extremal solutions of differential inclusions. Bull. Polish. Acad. Sci. 40 (1992) 97-109. [Google Scholar]
  9. J.-M. Coron, A necessary condition for feedback stabilization. Systems Control Lett. 14 (1990) 227-232. [CrossRef] [MathSciNet] [Google Scholar]
  10. J.-M. Coron and L. Rosier, A relation between continuous time-varying and discontinuous feedback stabilization. J. Math. Systems, Estimation, and Control 4 (1994) 67-84. [Google Scholar]
  11. J.-M. Coron, Global asymptotic stabilization for controllable systems without drift. Math. of Control, Signals, and Systems 5 (1992) 295-312. [Google Scholar]
  12. J.-M. Coron, Stabilization in finite time of locally controllable systems by means of continuous time-varying feedback laws. SIAM J. Control Optim. 33 (1995) 804-833. [CrossRef] [MathSciNet] [Google Scholar]
  13. J.-M. Coron, L. Praly and A. Teel, Feedback stabilization of nonlinear systems: sufficient conditions and Lyapunov and input-output techniques, in Trends in Control: A European Perspective, A. Isidori, Eds., Springer, London (1995) 293-348. [Google Scholar]
  14. A.F. Filippov, Differential Equations with Discontinuous Right-Hand Sides, Kluwer Acad. Publ. (1988). [Google Scholar]
  15. O. Hájek, Discontinuos differential equations, I-II. J. Differential Equations 32 (1979) 149-185. [CrossRef] [MathSciNet] [Google Scholar]
  16. H. Hermes, Discontinuous vector fields and feedback control, in Differential Equations and Dynamical Systems, J.K. Hale and J.P. La Salle, Eds., Academic Press, New York, (1967) 155-165. [Google Scholar]
  17. H. Hermes, On the synthesis of stabilizing feedback controls via Lie algebraic methods. SIAM J. Control Optim. 10 (1980) 352-361. [Google Scholar]
  18. N.N. Krasovskii and A.I. Subbotin, Positional differential games, Nauka, Moscow, (1974) [in Russian]. Revised English translation: Game-theoretical control problems, Springer-Verlag, New York (1988). [Google Scholar]
  19. Yu.S. Ledyaev and E.D. Sontag, A remark on robust stabilization of general asymptotically controllable systems, in Proc. Conf. on Information Sciences and Systems (CISS 97), Johns Hopkins, Baltimore, MD (1997) 246-251. [Google Scholar]
  20. Yu.S. Ledyaev and E.D. Sontag, A Lyapunov characterization of robust stabilization. J. Nonlinear Anal. to appear. [Google Scholar]
  21. S. Nikitin, Piecewise-constant stabilization. SIAM J. Control Optim. to appear. [Google Scholar]
  22. E.P. Ryan, On Brockett's condition for smooth stabilizability and its necessity in a context of nonsmooth feedback. SIAM J. Control Optim. 32 (1994) 1597-1604. [CrossRef] [MathSciNet] [Google Scholar]
  23. E.D. Sontag and H.J. Sussmann, Remarks on continuous feedback, in Proc. IEEE Conf. Decision and Control, Aulbuquerque, IEEE Publications, Piscataway (1980) 916-921. [Google Scholar]
  24. E.D. Sontag, Nonlinear regulation: The piecewise linear approach. IEEE Trans. Automat. Control 26 (1981) 346-358. [CrossRef] [MathSciNet] [Google Scholar]
  25. E.D. Sontag, Feedback stabilization of nonlinear systems, in Robust Control of Linear Systems and Nonlinear Control, M.A. Kaashoek, J.H. van Shuppen and A.C.M. Ran, Eds., Birkhäuser, Cambridge, MA (1990) 61-81. [Google Scholar]
  26. E.D. Sontag, Mathematical control theory, deterministic finite dimensional systems, Springer-Verlag, New York (1990). [Google Scholar]
  27. E.D. Sontag, Stability and stabilization: Discontinuities and the effect of disturbances, in Proc. NATO Advanced Study Institute - Nonlinear Analysis, Differential Equations, and Control (Montreal, Jul/Aug 1998), F.H. Clarke and R.J. Stern, Eds., Kluwer (1999) 551-598. [Google Scholar]
  28. H.J. Sussmann, Subanalytic sets and feedback control. J. Differential Equations 31 (1979) 31-52. [CrossRef] [MathSciNet] [Google Scholar]

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