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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the time-optimality of bang-bang trajectories in ${\mathbf {R}}^3$
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by Heinz M. Schaettler PDF
Bull. Amer. Math. Soc. 16 (1987), 113-116
References
  • Bernard Bonnard, On singular extremals in the time minimal control problem in $\textbf {R}^3$, SIAM J. Control Optim. 23 (1985), no. 5, 794–802. MR 798060, DOI 10.1137/0323048
  • Alberto Bressan, The generic local time-optimal stabilizing controls in dimension $3$, SIAM J. Control Optim. 24 (1986), no. 2, 177–190. MR 826511, DOI 10.1137/0324010
  • Pavol Brunovský, Existence of regular synthesis for general control problems, J. Differential Equations 38 (1980), no. 3, 317–343. MR 605053, DOI 10.1016/0022-0396(80)90011-X
  • H. J. Sussmann, The structure of time-optimal trajectories for single-input systems in the plane: the $C^\infty$ nonsingular case, SIAM J. Control Optim. 25 (1987), no. 2, 433–465. MR 877071, DOI 10.1137/0325025
  • H. J. Sussmann, The structure of time-optimal trajectories for single-input systems in the plane: the general real analytic case, SIAM J. Control Optim. 25 (1987), no. 4, 868–904. MR 893988, DOI 10.1137/0325048
  • H. J. Sussmann, Regular synthesis for time-optimal control of single-input real analytic systems in the plane, SIAM J. Control Optim. 25 (1987), no. 5, 1145–1162. MR 905037, DOI 10.1137/0325062
  • 7. H. Schaettler, On the local structure of time-optimal bang-bang trajectories in R3 (to appear).
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 16 (1987), 113-116
  • MSC (1985): Primary 49B10; Secondary 93B10
  • DOI: https://doi.org/10.1090/S0273-0979-1987-15479-6
  • MathSciNet review: 866027