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@ARTICLE{Zhao:878094,
      author       = {Zhao, Xiao and Ploch, Tobias and Noack, Stephan and
                      Wiechert, Wolfgang and Mitsos, Alexander and von Lieres,
                      Eric},
      title        = {{A}nalysis of the local well‐posedness of
                      optimization‐constrained differential equations by local
                      optimality conditions},
      journal      = {AIChE journal},
      volume       = {66},
      number       = {10},
      issn         = {1547-5905},
      address      = {Hoboken, NJ},
      publisher    = {Wiley},
      reportid     = {FZJ-2020-02628},
      pages        = {e16548},
      year         = {2020},
      abstract     = {Optimization‐constrained differential equations (OCDE)
                      are a class of mathematical problems where differential
                      equations are constrained by an embedded algebraic
                      optimization problem. We analyze the well‐posedness of the
                      local solutions of OCDE based on local optimality. By
                      assuming linear independence constraint qualification and
                      applying the Karush‐Kuhn‐Tucker optimality conditions,
                      an OCDE is transformed into a complementarity system (CS).
                      Under second‐order sufficient condition we show that (a)
                      if strict complementary condition (SCC) holds, the local
                      solution of OCDE is well‐posed, which corresponds to a
                      mode of the derived CS; (b) at points where SCC is violated,
                      a local solution of OCDE exists by sequentially connecting
                      the local solutions of two selected modes of the derived CS.
                      We propose an event‐based algorithm to numerically solve
                      OCDE. We illustrate the approach and algorithm for microbial
                      cultivation, single flash unit and contrived numerical
                      examples.},
      cin          = {IBG-1 / IEK-10},
      ddc          = {660},
      cid          = {I:(DE-Juel1)IBG-1-20101118 / I:(DE-Juel1)IEK-10-20170217},
      pnm          = {583 - Innovative Synergisms (POF3-583)},
      pid          = {G:(DE-HGF)POF3-583},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000564202600001},
      doi          = {10.1002/aic.16548},
      url          = {https://juser.fz-juelich.de/record/878094},
}