Optimal control for n × n coupled systems governed by Petrowsky type equations with control-constrained and infinite number of variables

Hussain A. El-Saify; G. M. Bahaa

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 3, page 291-311
  • ISSN: 0139-9918

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El-Saify, Hussain A., and Bahaa, G. M.. "Optimal control for $n\times n$ coupled systems governed by Petrowsky type equations with control-constrained and infinite number of variables." Mathematica Slovaca 53.3 (2003): 291-311. <http://eudml.org/doc/34578>.

@article{El2003,
author = {El-Saify, Hussain A., Bahaa, G. M.},
journal = {Mathematica Slovaca},
keywords = {optimal control problem; Dirichlet and Neumann conditions; operator with an infinite number of variables},
language = {eng},
number = {3},
pages = {291-311},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Optimal control for $n\times n$ coupled systems governed by Petrowsky type equations with control-constrained and infinite number of variables},
url = {http://eudml.org/doc/34578},
volume = {53},
year = {2003},
}

TY - JOUR
AU - El-Saify, Hussain A.
AU - Bahaa, G. M.
TI - Optimal control for $n\times n$ coupled systems governed by Petrowsky type equations with control-constrained and infinite number of variables
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 3
SP - 291
EP - 311
LA - eng
KW - optimal control problem; Dirichlet and Neumann conditions; operator with an infinite number of variables
UR - http://eudml.org/doc/34578
ER -

References

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  2. BEREZANSKII, JU. M., Self-Adjoint Operators in Spaces of Functions of Infinitely Many Variables, Transl. Math. Monographs 63, Amer. Math. Soc, Providence, RI, 1986. (1986) 
  3. BEREZANSKII, JU. M., Self-adjointness of elliptic operator with an infinite number of variables, Ukrain. Mat. Zh. 27 (1975), 729-742. (1975) MR0405094
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  5. EL-SAIFY H. A., Boundary control problem with an infinite number of variables, Internal J. Math. Math. Sci. 28 (2001), 57-62. Zbl0999.49003MR1882683
  6. EL-SAIFY H. A.-BAHAA G. M., Optimal control for nxn systems of hyperbolic types, Rev. Mat. Apl. 22 (2001), 41-58. MR1890942
  7. EL-SAIFY H. A.-SERAG H. M.-BAHAA G. M., On optimal control for nxn elliptic system involving operators with an infinite number of variables, A.M.S.E. Advances in Modeling & Analysis 1-A 37 (2000), 47-61. 
  8. GALI I. M.-EL-SAIFY H. A., Optimal control of a system governed by hyperbolic operator with an infinite number of variables, J. Math. Anal. Appl. 85 (1982), 24-30. (1982) Zbl0563.49013MR0647556
  9. GALI I. M.-EL-SAIFY H. A., Distributed control of a system governed by Dirichlet and Neumann Problems for a self-adjoint elliptic operator with an infinite number of variables, J. Optim. Theory Appl. 39 (1983), 293-298. (1983) Zbl0481.49015MR0693688
  10. IMANUVILOV O. YU., On exact controllability for the Navier-Stokes equations, ESAIM: Control. Optim. Calc. Var. 3 (1998), 97-131. (1998) Zbl1052.93502MR1617825
  11. KOTARSKI W., Optimal control of a system governed by Petrowsky type equation with an infinite number of variables, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 35 (1996), 73-82. (1996) Zbl0961.49011MR1485046
  12. KOTARSKI W.-EL-SAIFY H. A.-BAHAA G. M., Optimal control of parabolic equation with an infinite number of variables for non-standard functional and time delay, IMA J. Math. Control Inform. 19 (2002), 461-476. Zbl1044.49018MR1949014
  13. KOTARSKI W.-EL-SAIFY H. A.-BAHAA G. M., Optimal control problem for a hyperbolic system with mixed control-state constraints involving operator of infinite order, Internat. J. Pure Appl. Math. 1 (2002), 241-254. Zbl1009.49021MR1912680
  14. LI X.-YONG J., Optimal Control Theory for Infinite Dimensional Systems, Birkhauser, Boston, 1995. (1995) MR1312364
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  16. LIONS J. L.-ENRIQUE Z., Approximate controllability of a hydro-elastic coupled system, ESAIM: Control. Optim. Calc. Var. 1 (1995), 1-15. (1995) Zbl0878.93034MR1382513
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