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ON TRACKING OF SOLUTIONS OF PARABOLIC VARIATIONAL INEQUALITIES

Yıl 2012, Cilt: 2 Sayı: 2, 185 - 194, 01.12.2012

Öz

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.

Kaynakça

  • Barbu, V., (1976), Nonlinear Semigroup and Differential Equation in Banach Space, Noordhoof.
  • Barbu, V., (1984), Optimal Control of Variational Inequalities, Pitman.
  • Glovinskii, R., Lions, J.-L. and Tremol’er, R., (1979), Numerical Research of Variational Inequalities, North-Holland, Amsterdam.
  • Krasovskii, N. N. and Subbotin, A.I., (1988), Game-Theoretical Control Problems, Springer Verlag, New York—Berlin.
  • 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.
  • Maksimov, V. I., (2000), Feedback minimax control for parabolic variational inequlity, C.R. Acad. Sci. Paris, t.328, serie IIb, 105–108.
  • Osipov, Yu. S. and Kryazhimskii, A. V., (1995), Inverse Problems for Ordinary Differential Equations: Dynamical Solutions. Gordon and Breach, London.
  • Maksimov, V. I., (2002), Dynamical Inverse Problems of Distributed Systems, VSP, Utrecht—Boston.
  • Samarskii, A.A., (1971), Introduction to the Theory of Difference Schemes, Nauka, Moscow (in Rus- sian).
Yıl 2012, Cilt: 2 Sayı: 2, 185 - 194, 01.12.2012

Öz

Kaynakça

  • Barbu, V., (1976), Nonlinear Semigroup and Differential Equation in Banach Space, Noordhoof.
  • Barbu, V., (1984), Optimal Control of Variational Inequalities, Pitman.
  • Glovinskii, R., Lions, J.-L. and Tremol’er, R., (1979), Numerical Research of Variational Inequalities, North-Holland, Amsterdam.
  • Krasovskii, N. N. and Subbotin, A.I., (1988), Game-Theoretical Control Problems, Springer Verlag, New York—Berlin.
  • 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.
  • Maksimov, V. I., (2000), Feedback minimax control for parabolic variational inequlity, C.R. Acad. Sci. Paris, t.328, serie IIb, 105–108.
  • Osipov, Yu. S. and Kryazhimskii, A. V., (1995), Inverse Problems for Ordinary Differential Equations: Dynamical Solutions. Gordon and Breach, London.
  • Maksimov, V. I., (2002), Dynamical Inverse Problems of Distributed Systems, VSP, Utrecht—Boston.
  • Samarskii, A.A., (1971), Introduction to the Theory of Difference Schemes, Nauka, Moscow (in Rus- sian).
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Haydar Akca Bu kişi benim

Vyacheslav I. Maksimov Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 2 Sayı: 2

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