ON TRACKING OF SOLUTIONS OF PARABOLIC VARIATIONAL INEQUALITIES

Volume: 2 Number: 2 December 1, 2012
  • Haydar Akca
  • Vyacheslav I. Maksimov
EN

ON TRACKING OF SOLUTIONS OF PARABOLIC VARIATIONAL INEQUALITIES

Abstract

The problem of constructing a feedback control algorithm for a parabolic variational inequality is considered. This algorithm should provide tracking a prescribed trajectory by a solution of the given inequality. Two solving algorithms, which are stable with respect to informational noises, are designed. The algorithms are based on the method of extremal shift, which is known in the theory of guaranteed control.

Keywords

References

  1. Barbu, V., (1976), Nonlinear Semigroup and Differential Equation in Banach Space, Noordhoof.
  2. Barbu, V., (1984), Optimal Control of Variational Inequalities, Pitman.
  3. Glovinskii, R., Lions, J.-L. and Tremol’er, R., (1979), Numerical Research of Variational Inequalities, North-Holland, Amsterdam.
  4. Krasovskii, N. N. and Subbotin, A.I., (1988), Game-Theoretical Control Problems, Springer Verlag, New York—Berlin.
  5. Maksimov, V. I., (1998), Some stable algorithm for solving problems of feedback control and recon- struction for distributed parameter systems, Recent Advances in Numerical Methods and Applications, World ScientiŞc, 757–764.
  6. Maksimov, V. I., (2000), Feedback minimax control for parabolic variational inequlity, C.R. Acad. Sci. Paris, t.328, serie IIb, 105–108.
  7. Osipov, Yu. S. and Kryazhimskii, A. V., (1995), Inverse Problems for Ordinary Differential Equations: Dynamical Solutions. Gordon and Breach, London.
  8. Maksimov, V. I., (2002), Dynamical Inverse Problems of Distributed Systems, VSP, Utrecht—Boston.

Details

Primary Language

English

Subjects

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Journal Section

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Authors

Haydar Akca This is me

Vyacheslav I. Maksimov This is me

Publication Date

December 1, 2012

Submission Date

-

Acceptance Date

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Published in Issue

Year 2012 Volume: 2 Number: 2

APA
Akca, H., & Maksimov, V. I. (2012). ON TRACKING OF SOLUTIONS OF PARABOLIC VARIATIONAL INEQUALITIES. TWMS Journal of Applied and Engineering Mathematics, 2(2), 185-194. https://izlik.org/JA35JF26JL
AMA
1.Akca H, Maksimov VI. ON TRACKING OF SOLUTIONS OF PARABOLIC VARIATIONAL INEQUALITIES. JAEM. 2012;2(2):185-194. https://izlik.org/JA35JF26JL
Chicago
Akca, Haydar, and Vyacheslav I. Maksimov. 2012. “ON TRACKING OF SOLUTIONS OF PARABOLIC VARIATIONAL INEQUALITIES”. TWMS Journal of Applied and Engineering Mathematics 2 (2): 185-94. https://izlik.org/JA35JF26JL.
EndNote
Akca H, Maksimov VI (December 1, 2012) ON TRACKING OF SOLUTIONS OF PARABOLIC VARIATIONAL INEQUALITIES. TWMS Journal of Applied and Engineering Mathematics 2 2 185–194.
IEEE
[1]H. Akca and V. I. Maksimov, “ON TRACKING OF SOLUTIONS OF PARABOLIC VARIATIONAL INEQUALITIES”, JAEM, vol. 2, no. 2, pp. 185–194, Dec. 2012, [Online]. Available: https://izlik.org/JA35JF26JL
ISNAD
Akca, Haydar - Maksimov, Vyacheslav I. “ON TRACKING OF SOLUTIONS OF PARABOLIC VARIATIONAL INEQUALITIES”. TWMS Journal of Applied and Engineering Mathematics 2/2 (December 1, 2012): 185-194. https://izlik.org/JA35JF26JL.
JAMA
1.Akca H, Maksimov VI. ON TRACKING OF SOLUTIONS OF PARABOLIC VARIATIONAL INEQUALITIES. JAEM. 2012;2:185–194.
MLA
Akca, Haydar, and Vyacheslav I. Maksimov. “ON TRACKING OF SOLUTIONS OF PARABOLIC VARIATIONAL INEQUALITIES”. TWMS Journal of Applied and Engineering Mathematics, vol. 2, no. 2, Dec. 2012, pp. 185-94, https://izlik.org/JA35JF26JL.
Vancouver
1.Haydar Akca, Vyacheslav I. Maksimov. ON TRACKING OF SOLUTIONS OF PARABOLIC VARIATIONAL INEQUALITIES. JAEM [Internet]. 2012 Dec. 1;2(2):185-94. Available from: https://izlik.org/JA35JF26JL