Geodesic
On Hamilton--Jacobi formalism in time-delay control systems
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 5, pp. 269-277

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For control problems under disturbances in time-delay systems, methods of defining the value of optimal guaranteed result and optimal control strategies are considered on the basis of generalized solutions of appropriate functional equations of the Hamilton–Jacobi type.
Keywords: time-delay systems, control theory, differential games, dynamic programming, Hamilton–Jacobi equations, minimax solutions, viscosity solutions. 
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     author = {N. Yu. Lukoyanov},
     title = {On {Hamilton--Jacobi} formalism in time-delay control systems},
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N. Yu. Lukoyanov. On Hamilton--Jacobi formalism in time-delay control systems. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 5, pp. 269-277. http://geodesic.mathdoc.fr/item/TIMM_2010_16_5_a30/