Geodesic
On the numerical solution convergence of optimal control problems for Leontief type system
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2011), pp. 24-33

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This article contains proving the convergence of numerical solving of optimal control problem for degenerate linear systems of ordinary differential equations with constant coefficients. Considering different appendixes of such systems, they belong to Leontief type system, as in the first time such systems were investigated as a dynamic Leontief input-output model with noninvertible operator on derivative. By using the initial condition of Showalter–Sidorov we gain an ability to extend the range of practical applicability for this model. The article includes existence and uniqueness theorem of numerical solution of investigated problem, his kind, and results of numerical experiment for dynamic input-output model, which was offered by W. Leontief.
Keywords: Showalter–Sidorov problem, optimal control, numerical solution
Mots-clés : convergence. 
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     author = {G. A. Sviridyuk and A. V. Keller},
     title = {On the numerical solution convergence of optimal control problems for {Leontief} type system},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {24--33},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2011_2_a2/}
}
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G. A. Sviridyuk; A. V. Keller. On the numerical solution convergence of optimal control problems for Leontief type system. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2011), pp. 24-33. http://geodesic.mathdoc.fr/item/VSGTU_2011_2_a2/