Artificial intelligence

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The problem of optimal control of compartmental systems

Martsenyuk V.1, Gandzyuk N.1
1 I.Ya. Horbachevsky Ternopil State Medical University

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UDC: 517.929
Publication Language: Ukrainian
Stuc. intelekt. 2014; 19(1):106-114

Abstract: The problem of optimal control of compartmental system of anesthesiology in the case of linearity and nonlinearity by using the dynamics of the Michaelis – Menten is described.

Keywords: optimal control, compartmental system.

References:

  1. Alekseev V.M., Tikhomirov V.M., Fomin S.V. Optimal control. 3 – publ. - M: Fyzmatlyt, 2007. – 408 p.
  2. Bublik B.N., Kirichenko N.F. Fundamentals of control theory. – K : High School, 1975. – 327 p.
  3. Perestyuk M.O., Stazhytskyy O.M., Kapustyan O.V., Loveykin U.V. Calculus of variations andoptimization techniques. – K : Tutorial, 2010. – 121p.
  4. Martsenyuk V.P., Andrushchak I.Ye., Gandzyuk N.M. Constructing exponential estimates incompartmental systems with distributed delays: an approach based on the Hale–Lunel inequality //Cybernetics and Systems Analysis / 2013. / Volume 49, Issue 3 / p/ 347-352.
  5. Martsenyuk V.P., Gandzyuk N.M. Сonstruction of exponential estimates for nonlinear nonnegativesystem with delays based on Hale – Lunel inequality. // Bulletin of Taras Shevchenko National Universityof Kyiv, Series Physics & Mathematics. /2013./ Issue 4.

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