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Tytuł artykułu

Optimal control for a class of mechanical thermoviscoelastic frictional contact problems

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We study optimal control of systems governed by a coupled system of hemivariational inequalities, modeling a dynamic thermoviscoelastic problem, which describes frictional contact between a body and a foundation. We employ the Kelvin-Voigt vis-coelastic law, include the thermal effects and consider the general nonmonotone and multivalued subdifferential boundary conditions. We consider optimal control problem for boundary and distributed parameter control systems, time optimal control problem and maximum stay control problem. We deliver conditions that guarantee the existence of optimal solutions.
Rocznik
Strony
611--632
Opis fizyczny
Bibliogr. 23 poz.
Twórcy
autor
autor
autor
  • Jagiellonian University, Faculty of Mathematics and Computer Science, Institute of Computer Science, ul. Nawojki 11, 30-072 Krakow, Poland
Bibliografia
  • AMASSAD, A., CHENAIS, D. and FABRE, C. (2002) Optimal control of an elastic contact problem involving Tresca friction law. Nonlinear Analysis, 48, 1107-1135.
  • AUBIN, J.P. and CELLINA, A. (1984) Differential Inclusions. Set-Valued Maps and Viability Theory. Springer-Verlag, Berlin, New York, Tokyo.
  • AWBI, B., ESSOUFI, EL. H. and SOFONEA, M. (2000) A viscoelastic contact problem with normal damped response and friction. Annales Polonici Mathematici, 75, 233-246.
  • BARBU, V. (1993) Analysis and Control of Nonlinear Infinite Dimensional Systems. Academic Press, Boston.
  • CLARKE, F.H. (1983) Optimization and Nonsmooth Analysis. John Wiley & Sons, New York.
  • DENKOWSKI, Z. (2002) Control problems for systems described by hemivariational inequalities. Control and Cybernetics, 31, 713-738.
  • DENKOWSKI, Z. and MIGÓRSKI, S. (1998) Optimal shape design problems for a class of systems described by hemivariational inequalities. Journal of Global Optimization, 12, 37-59.
  • DENKOWSKI, Z. and MIGÓRSKI, S. (2004) Sensitivity of optimal solutions to control problems for systems described by hemivariational inequalities. Control and Cybernetics, 33, 211-236.
  • DENKOWSKI, Z. and MIGÓRSKI, S. (2005) A system of evolution hemivariational inequalities modeling thermoviscoelastic frictional contact. Nonlinear Analysis, 60, 1415-1441.
  • DENKOWSKI, Z., MIGÓRSKI, S. and PAPAGEORGIOU, N.S. (2003) An Introduction to Nonlinear Analysis: Theory. Kluwer Academic/Plenum Publishers, Boston, Dordrecht, London, New York.
  • HAN, W. and SOFONEA, M. (2002) Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity. American Mathematical Society, International Press, New York.
  • LIONS, J.L. (1971) Optimal Control of Systems Governed by Partial Differential Equations. Springer-Verlag, Berlin.
  • MIETTINEN, M. (1993) Approximation of Hemivariational Inequalities and Optimal Control Problems. PhD Thesis, University of Jyväskylä, Finland.
  • MIGÓRSKI, S. (2002) Optimal control for a class of hyperbolic hemivariational inequalities. In: M.H. Hamza, ed., Proceedings of the International Conference “Control and Applications”, Cancun, Mexico, Acta Press, 75-80.
  • MIGÓRSKI, S. (2005) Dynamic hemivariational inequality modeling viscoelastic contact problem with normal damped response and friction. Applicable Analysis, 84, 669-699.
  • MIGÓRSKI, S. and OCHAL, A. (2000) Optimal control of parabolic hemivariational inequalities. Journal of Global Optimization, 17, 285-300.
  • MIGÓRSKI, S. and OCHAL, A. (2004) Boundary hemivariational inequality of parabolic type. Nonlinear Analysis, 57, 579-596.
  • MIGÓRSKI, S. and OCHAL, A. (2005) Hemivariational inequality for viscoelastic contact problem with slip-dependent friction. Nonlinear Analysis, 61, 135-161.
  • NANIEWICZ, Z. and PANAGIOTOPOULOS, P.O. (1995) Mathematical Theory of Hemivariational Inequalities and Applications. Dekker, New York.
  • OCHAL, A. (2001) Optimal Control Problems for Evolution Hemivariational Inequalities of Second Order. PhD Thesis, Jagiellonian University, Kraków.
  • PANAGIOTOPOULOS, P.D. (1993) Hemivariational Inequalities, Applications in Mechanics and Engineering. Springer-Verlag, Berlin.
  • PANAGIOTOPOULOS, P.D. and HASLINGER, J. (1992) Optimal control and identification of structures involving multivalued nonmonotonicities. Existence and approximation results. European Journal of Mechanics. A. Solids, 11, 425-445.
  • SEXTRO, E. (2002) Dynamical Contact Problems with Friction. Springer-Verlag, New York.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0017-0058
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