Geodesic
Approximation of the Integral Funnel of a Nonlinear Control System with Limited Control Resources
Minimax theory and its applications, Tome 5 (2020) no. 2
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Approximation of the integral funnel of the control system described by Urysohn type integral equation is studied. It is assumed that the control resource of the system is limited. The closed ball of the space Lp, p > 1, with radius r and centered at the origin is chosen as the set of admissible control functions. The integral funnel of the system is defined as the set of graphs of the system’s trajectories generated by all admissible control functions. The approximation of the integral funnel by the set consisting of a finite number of points is presented and convergence of the approximation procedure is proved.
Mots-clés : Control system, integral constraint, Urysohn integral equation, integral funnel, approximation 
@article{MTA_2020_5_2_a8,
     author = {Anar Huseyin,Nesir Huseyin,Khalik G. Guseinov},
     title = {Approximation of the {Integral} {Funnel} of a {Nonlinear} {Control} {System} with {Limited} {Control} {Resources}},
     journal = {Minimax theory and its applications},
     year = {2020},
     volume = {5},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/MTA_2020_5_2_a8/}
}
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Anar Huseyin,Nesir Huseyin,Khalik G. Guseinov. Approximation of the Integral Funnel of a Nonlinear Control System with Limited Control Resources. Minimax theory and its applications, Tome 5 (2020) no. 2. http://geodesic.mathdoc.fr/item/MTA_2020_5_2_a8/