Structural stability for time-optimal planar syntheses

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm

Volumn 3, Issue 3, 1997, Pages 335-371

  Bressan, Alberto ^a   Piccoli, Benedetto ^a  

^a SISSA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000947809     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

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2. A. Bressan and B. Piccoli, A generic classification of time optimal planar stabilizing feedbacks, SIAM J. Control and Opt., submitted.
3. S.N. Chow and J.K. Bale, Methods of Bifurcation Theory, Springer-Verlag, New York, 1982.
4. W.H. Fleming and R.W. Rishel, Deterministic and Stochastic Optimal Control, Springer-Verlag, New York, 1975.
5. E.B. Lee and L. Markus, Foundations of Optimal Control Theory, Wiley, New York, 1967.
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8. B. Piccoli, Regular time-optimal syntheses for smooth planar systems, Rend. Sem. Mat. Univ. Padova, to appear.
9. B. Piccoli, Classification of generic singularities for the planar time optimal synthesis, SIAM J. Control and Opt., to appear.
10. H. J. Sussmann, Lie Brackets, real analyticity and geometric control, in Differential Geometric Control Theory, Proceedings of the conference held at the Michigan Technological University, 1982, R.W. Brockett, R.S. Millman, H.J. Sussmann eds., Birkhauser, Boston, 1983, 1-116.
11. ∞ nonsingular case, SIAM J. Control and Opt., 25, (1987) 433-465.
12. 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) 868-904.
13. 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) 1145-1162.
14. H.J. Sussmann, Envelopes, conjugate points, and optimal bang-bang extremals, in Algebraic and Geometric Methods in Nonlinear Control Theory, M. Fliess and M. Hazewinkel Eds., D. Reidel Publishing Company, 1986, 325-346.
15. H.J. Sussmann, Envelopes, higher-order optimality conditions, and Lie brackets, in Proceedings of the 1989 I.E.E.E. Conference on Decision and Control.
16. 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, 1-20.