Degeneracy phenomenon in optimal control problems with state constraints

The degeneracy phenomenon in optimal control systems is investigated. The new version of Pontryagin's maximum principle for problems with state constraints is obtained. This maximum principle contains some additional information about the behavior of the Hamiltonian. The jump conditions at the endtimes are important in the investigation of the degeneracy phenomenon. Using this result under some natural controllability conditions, the necessary and sufficient conditions for the maximum principle to be informative is obtained.

Authors
Arutyunov A.V. 1 , Aseev S.M. 1
Conference proceedings
Proceedings of the IEEE Conference on Decision and Control
Language
English
Pages
300-304
Status
Published
Volume
1
Year
1997
Organizations
  • 1 Russian Peoples Friendship Univ, Moscow, Russian Federation
Keywords
Constraint theory; Control system analysis; Controllability; Mathematical models; Set theory; State space methods; Degeneracy phenomenon; Hamilton functions; Pontryagin's maximum principle; Optimal control systems
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/699/
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