Geometric Approach to Pontryagin ’ S Maximum Principle

@inproceedings{BarberoLin2008GeometricAT,
  title={Geometric Approach to Pontryagin ’ S Maximum Principle},
  author={Mar{\'i}a Barbero-Li{\~n}{\'a}n and Miguel C. Mu{\~n}oz-Lecanda},
  year={2008}
}
Since the second half of the 20th century, Pontryagin’s Maximum Principle has been widely discussed and used as a method to solve optimal control problems in medicine, robotics, finance, engineering, astronomy. Here, we focus on the proof and on the understanding of this Principle, using as much geometric ideas and geometric tools as possible. This approach provides a better and clearer understanding of the Principle and, in particular, of the role of the abnormal extremals. These extremals are… CONTINUE READING
Highly Cited
This paper has 18 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
12 Citations
70 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 70 references

Is it possible to recognize local controllability in a finite number of differentiations

  • A. Agrachev
  • Open Problems in Mathematical Systems and Control…
  • 1999
Highly Influential
4 Excerpts

Continuity

  • A. C. Zaanen
  • Integration and Fourier Theory, Springer, Berlin
  • 1989
Highly Influential
4 Excerpts

The Mathematical Theory of Optimal Processes

  • L. S. Pontryagin, V. G. Boltyanski, R. V. Gamkrelidze, E. F. Mischenko
  • Interscience, New York
  • 1962
Highly Influential
7 Excerpts

Ecuaciones diferenciales ordinarias en el sentido de Carathéodory

  • J. A. Cañizo Rincón
  • 2004
Highly Influential
6 Excerpts

Supplementary Chapters of Geometric Control of Mechanical Systems

  • F. Bullo, A. D. Lewis
  • Modeling, Analysis and Design for Simple…
  • 2004
Highly Influential
4 Excerpts

Geometric Control Theory, Cambridge Studies in Advanced Mathematics 51

  • V. Jurdjevic
  • 1997
Highly Influential
4 Excerpts

Similar Papers

Loading similar papers…