Cybernetics and Systems Analysis

, Volume 44, Issue 5, pp 673–679 | Cite as

Controlled dynamic systems and Carleman operator

  • V. F. Zadorozhny


Controlled dynamic systems on a compact set and thus with invariant measure are considered. This allows reducing differential dynamic systems to Fredholm-type integral equations. An algorithm of constructing a vector field of maximum descent rate along a trajectory is presented. The algorithm is reduced to a numerical moment-type procedure.


dynamic system compact set control stability Hilbert-Schmidt and Carleman operators measure 


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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.V. M. Glushkov Institute of CyberneticsNational Academy of Sciences of UkraineKyivUkraine

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