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Control problems with state constraints for shape memory alloys
Author(s) -
Sokołowski J.,
Sprekels J.
Publication year - 1994
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670171204
Subject(s) - isothermal process , mathematics , state (computer science) , state variable , boundary value problem , displacement (psychology) , boundary (topology) , shape memory alloy , optimal control , mathematical optimization , mathematical analysis , algorithm , computer science , physics , thermodynamics , psychology , artificial intelligence , psychotherapist
In this paper, two different control problems with state constraints for shape memory alloys are considered: in the non‐isothermal case, we study boundary control problems, and in the isothermal situation, a dynamical shape optimization problem is considered. In both cases, the transverse displacement is the constrained state variable. The first‐order conditions of optimality are derived.