Infinite time regular synthesis

B. Piccoli

ESAIM: Control, Optimisation and Calculus of Variations (1998)

  • Volume: 3, page 381-405
  • ISSN: 1292-8119

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Piccoli, B.. "Infinite time regular synthesis." ESAIM: Control, Optimisation and Calculus of Variations 3 (1998): 381-405. <http://eudml.org/doc/90531>.

@article{Piccoli1998,
author = {Piccoli, B.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Pontryagin principle; open-loop optimization; nonlinear; Hamiltonian formalism},
language = {eng},
pages = {381-405},
publisher = {EDP Sciences},
title = {Infinite time regular synthesis},
url = {http://eudml.org/doc/90531},
volume = {3},
year = {1998},
}

TY - JOUR
AU - Piccoli, B.
TI - Infinite time regular synthesis
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1998
PB - EDP Sciences
VL - 3
SP - 381
EP - 405
LA - eng
KW - Pontryagin principle; open-loop optimization; nonlinear; Hamiltonian formalism
UR - http://eudml.org/doc/90531
ER -

References

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  2. [2] V.G. Boltianskii: Sufficient conditions for optimality and the justification of the dynamic programming principle, SIAM J. Contr. and Opt., 4, 1966, 326-361. Zbl0143.32004MR197205
  3. [3] A. Bressan, B. Piccoli: Structural stability for time-optimal planar syntheses, Dynamics of Continuous, Discrete and Impulsive Systems 3, 1997, 335-371. Zbl0885.93032MR1461687
  4. [4] A. Bressan, B. Piccoli: A generic classification of time optimal planar stabilizing feedbacks', SIAM J. Contr. and Opt. 36, 1998, 12-32. Zbl0910.93044MR1616525
  5. [5] P. Brunovsky: Every normal linear system has a regular time-optimal synthesis, Math. Slovaca 28, 1978, 81-100. Zbl0369.49013MR527776
  6. [6] P. Brunovsky: Existence of regular syntheses for general problems, J. Diff. Eq., 38, 1980, 317-343. Zbl0417.49030MR605053
  7. [7] L. Cesari: Optimization - Theory and applications, Springer-Verlag, New York, 1983. Zbl0506.49001MR688142
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  11. [11] B. Piccoli: Classification of generic singularities for the planar time optimal syntheses, SIAM J. Contr. Opt. 34, 1996, 1914-1946. Zbl0865.49022MR1416494
  12. [12] B. Piccoli, H.J. Sussmann: Regular synthesis and sufficiency conditions for optimality, to appear in SIAM J. Contr. Opt.. Zbl0961.93014MR1788064
  13. [13] E.P. Ryan: Singular optimal controls for second-order saturating systems, Int. J. Control 30, No. 4 1979, 549-564. Zbl0422.49006MR554963
  14. [14] H.J. Sussmann: Subanalytic sets and feedback control, J. Diff. Eq. 31, No.l, 1979, 31-52. Zbl0407.93010MR524816
  15. [15] H.J. Sussmann: Lie brackets, real analyticity and geometric control theory, in Differential Geometric Control Theory, R. W. Brockett, R.S. Millman and H.J. Sussmann Eds., Birkhäuser Boston Inc., 1983, 1-115. Zbl0545.93002MR708500
  16. [16] H.J. Sussmann: Regular synthesis for time-optimal control of single-input real-analytic systems in the plane, SIAM J. Contr. Opt. 25, No. 5, 1987, 1145-1162. Zbl0696.93026MR905037
  17. [17] H.J. Sussmann: Recent developments in the regularity theory of optimal trajectories, in Linear and nonlinear mathematical control theory, Rend. Sem. Mat. Univ. e Pol. Torino, Fascicolo speciale, 1987, 149-182. Zbl0649.49003MR948974
  18. [18] H.J. Sussmann: Synthesis, presynthesis, sufficient conditions for optimality and subanaltic sets, in Nonlinear controllability and optimal control, H.J. Sussmann ed., Marcel Dekker, New York, 1990, 1-19. Zbl0712.49015MR1061381

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