Asymptotic Analysis of Optimal Control Problems on Periodic Singular Graphs

Part of the Systems & Control: Foundations & Applications book series (SCFA)


Partial differential equations (PDEs) on graphs have frequently been considered in the literature, beginning with the works of Lumer (1980) and A. Vol’pert (1972). We also mention Lagnese, Leugering, and Schmidt (1994), Lagnese and Leugering (2004), Pokornyi et al. (2004), and von Below (1993).


Optimal Control Problem Asymptotic Analysis Integral Identity Constrain Minimization Problem Suboptimal Control 


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© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Faculty of Mathematics and Mechanics, Department of Differential EquationsOles Honchar Dnipropetrovsk National UniversityDnipropetrovskUkraine
  2. 2.Department of Mathematics, Chair of Applied Mathematics IIFriedrich-Alexander Universität Erlangen-NürnbergErlangenGermany

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