Minimum time optimality of a partially singular arc: Second order conditions

Lecture Notes in Control and Information Sciences

Volumn 366 LNCIS, Issue , 2007, Pages 281-291

  Poggiolini, Laura ^a   Stefani, Gianna ^a  

^a UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84867437839     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-73890-9_22     Document Type: Conference Paper

References (9)

1. Andrei A. Agrachev and Yuri L. Sachkov. Control theory from the geometric viewpoint. Springer-Verlag, 2004.
2. Andrei A. Agrachev, Gianna Stefani, and Pier-Luigi Zezza. An invariant second variation in optimal control. Internat. J. Control, 71(5):689-715, 1998.
3. Andrei A. Agrachev, Gianna Stefani, and Pier-Luigi Zezza. Strong minima in optimal control. Proc. Steklov Inst. Math., 220:4-26, 1998. translation from Tr. Mat. Inst. Steklova 220, 8-22 (1998).
4. A.V. Dmitruk. Quadratic order conditions of a local minimum for singular extremals in a general optimal control problem. In Proceedings of Symposi a in Pure Mathematics, volume 64, pages 163-198, 1999.
5. Helmut Maurer and Nikolai P. Osmolovskii. Second order sufficient conditions for time optimal bang-bang control problems. SIAM J. Control and Optimization, to appear.
6. Laura Poggiolini and Gianna Stefani. State-local optimality of a bang-bang trajectory: a Hamiltonian approach. Systems & Control Letters, 53:269-279, 2004.
7. Laura Poggiolini and Gianna Stefani. Minimum time optimality for a bang-singular arc: second order sufficient conditions. In 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005, pages on CD-ROM. IEEE Control Systems Society, 2005.
8. Andrei V. Sarychev. Sufficient optimality conditions for Pontryagin extremals. Syst. Control Lett., 19(6):451-460, 1992.
9. Gianna Stefani. Minimum-time optimality of a singular arc: second order sufficient conditions. In Proceeding of CDC04, 2004.