Geodesic
On the approximation of nonlinear conflict-controlled systems of neutral type
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 4, pp. 204-217

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We consider approximations of systems of nonlinear neutral-type conflict-controlled equations in Hale's form by systems of high-order ordinary differential equations. A procedure is given for the mutual feedback tracking between the motion of the original neutral-type conflict-controlled system and the motion of the approximating system of ordinary differential equations. The proposed mutual tracking procedure makes it possible to use approximating systems of ordinary differential equations as finite-dimensional modeling guides for neutral-type systems.
Keywords: neutral systems, control theory, differential games. 
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N. Yu. Lukoyanov; A. R. Plaksin. On the approximation of nonlinear conflict-controlled systems of neutral type. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 4, pp. 204-217. http://geodesic.mathdoc.fr/item/TIMM_2014_20_4_a17/