WIAS Preprint No. 747, (2002)

Optimization of ordinary differential systems with hysteresis


  • Sprekels, Jürgen
  • Tiba, Dan

2010 Mathematics Subject Classification

  • 34A34 34B15 49J15


  • Peano-type existence theorem, continuous hysteresis operators, Clarke's generalized gradient


We investigate general control problems governed by ordinary differential systems involving hysteresis operators. Our main hypotheses are of continuity type, and we discuss existence results, discretization methods, and approximation approaches.

Appeared in

  • ``Analysis and Optimization of Differential Systems'' (V. Barbu, I. Lasiecka, D. Tiba, C. Varsan, eds.), Kluver Acad. Publishers, 2003, Boston/Dordrecht/London, pp. 387-398

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