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Necessary optimality conditions for quasisingular controls in a step control problem

Published: 01 January 2008 Publication History

Abstract

Necessary second-order optimality conditions are obtained for one class of optimal control problems for step systems.

References

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6. K. B. Mansimov and Sh. F. Magerramov, "Necessary second-order optimality conditions in a discrete system with variable structure," Bilgi, Ser. Fizika, Matem., Nauki o Zemle, No. 1, 61-64 (2001).
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8. G. L. Kharatishvili, "Semiautomatic optimal systems," in: Optimal Problems in Variable-Structure Systems {in Russian}, Izd. TGU, Tbilisi (1985).
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11. G. K. Zakharov, "Optimization of step systems with controlled transition conditions," Avtom. Telemekh., No.6, 32-36 (1993).
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18. K. B. Mansimov, "Multipoint necessary optimality conditions for quasisingular controls," Avtom. Telemekh., No. 10, 53-58 (1982).

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Information & Contributors

Information

Published In

cover image Cybernetics and Systems Analysis
Cybernetics and Systems Analysis  Volume 44, Issue 1
January 2008
152 pages

Publisher

Kluwer Academic Publishers

United States

Publication History

Published: 01 January 2008

Author Tags

  1. Pontryagin's maximum principle
  2. necessary optimality condition
  3. quasisingular control
  4. step control problem

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