@article{RSMUP_1996__95__59_0, author = {Piccoli, Benedetto}, title = {Regular time-optimal syntheses for smooth planar systems}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {59--79}, publisher = {Seminario Matematico of the University of Padua}, volume = {95}, year = {1996}, mrnumber = {1405355}, zbl = {0912.49018}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_1996__95__59_0/} }
TY - JOUR AU - Piccoli, Benedetto TI - Regular time-optimal syntheses for smooth planar systems JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1996 SP - 59 EP - 79 VL - 95 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_1996__95__59_0/ LA - en ID - RSMUP_1996__95__59_0 ER -
%0 Journal Article %A Piccoli, Benedetto %T Regular time-optimal syntheses for smooth planar systems %J Rendiconti del Seminario Matematico della Università di Padova %D 1996 %P 59-79 %V 95 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_1996__95__59_0/ %G en %F RSMUP_1996__95__59_0
Piccoli, Benedetto. Regular time-optimal syntheses for smooth planar systems. Rendiconti del Seminario Matematico della Università di Padova, Tome 95 (1996), pp. 59-79. http://archive.numdam.org/item/RSMUP_1996__95__59_0/
[1] Sufficient conditions for optimality and the justification of the dynamic programming principle, SIAM J. Control and Opt., 4 (1966), pp. 326-361. | MR | Zbl
,[2] Every normal linear system has a regular time-optimal synethesis, Math. Slovaca, 28 (1978), pp. 81-100. | MR | Zbl
,[3] Existence of regular synthesis for general problems, J. Diff. Eq., 38 (1980), pp. 317-343. | MR | Zbl
,[4] Ordinary Differential Equations, Wiley, New York (1964). | MR | Zbl
,[5] Functional Analysis and Time Optimal Control, Academic Press (1969). | MR | Zbl
- ,[6] L. MARKUS, Foundations of Optimal Control Theory, Wiley, New York (1967). | MR | Zbl
-[7] 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. | MR | Zbl
,[8] 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. | MR | Zbl
,[9] 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. | MR | Zbl
,[10] The structure of time-optimal trajectories for single-input systems in the plane: the C∞ nonsingular case, SIAM J. Control and Opt., 25 (1987), pp. 433-465. | Zbl
,[11] 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. | MR | Zbl
,[12] 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. | MR | Zbl
,[13] Envelopes, Higher-Order Optimality Conditions, and Lie Brackets, Proceedings of the 1989 I.E. E. E. Conference on Decision and Control. | MR
,[14] 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. | MR | Zbl
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