Regular time-optimal syntheses for smooth planar systems

Rendiconti del Seminario Matematico dell Universita di Padova

Volumn 95, Issue , 1996, Pages 58-79

  Piccoli, Benedetto ^a  

^a SISSA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001883640     PISSN: 00418994     EISSN: 22402926     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. V. G. BOLTYANSKII, Sufficient conditions for optimality and the justification of the dynamic programming principle, SIAM J. Control and Opt., 4 (1966), pp. 326-361.
2. P. BRUNOVSKY, Every normal linear system has a regular time-optimal synethesis, Math. Slovaca, 28 (1978), pp. 81-100.
3. P. BRUNOVSKY, Existence of regular synthesis for general problems, J. Diff. Eq., 38 (1980), pp. 317-343.
4. P. HARTMAN, Ordinary Differential Equations, Wiley, New York (1964).
5. H. HERMES - J. P. LASALLE, Functional Analysis and Time Optimal Control, Academic Press (1969).
6. E.B. LEE - L. MARKUS, Foundations of Optimal Control Theory, Wiley, New York (1967).
7. M.M. PEIXOTO, Generic properties of ordinary differential equations, in Studies in Ordinary Differentials Equations, J. Hale ed., MAA Studies in Mathematics, No. 14, Washington (1977), pp. 52-92.
8. M.M. PEIXOTO, On the Classification of Flows on 2-Manifolds, Proceedings of a Symposium Helded at the University of Bahia, Brasil, 1971, M. M. Peixoto ed., Academic Press, New York (1973), pp. 389-420.
9. H. J. SUSSMANN, Envelopes, conjugate points, and optimal bang-bang extremals, algebraic and geometric methods in nonlinear control theory, M. Fliess and M. Hazewinkel eds., D. Reidel Publishing Company (1986), pp. 325-346.
10. ∞ nonsingular case, SIAM J. Control and Opt., 25 (1987), pp. 433-465.
11. H. J. SUSSMANN, The structure of time-optimal trajectories for single-input systems in the plane: the general real analytic case, SIAM J. Control and Opt., 25 (1987), pp.868-904.
12. H. J. SUSSMANN, Regular synthesis for time-optimal control of single-input real-analytic systems in the plane, SIAM J. Control and Opt., 25 (1987), pp. 1145-1162.
13. H. J. SUSSMANN, Envelopes, Higher-Order Optimality Conditions, and Lie Brackets, Proceedings of the 1989 I.E.E.E. Conference on Decision and Control.
14. H. J. SUSSMANN, Synthesis, presynthesis, sufficient conditions for optimality and subanalytic sets, in Nonlinear Controllability and Optimal Control, H. J. Sussmann ed., Marcel Dekker, New York (1990), pp. 1-19.