Approximation of the Set of Trajectories of the Nonlinear Control System with Limited Control Resources | Zendy

Nesir Hüseyin | Zendy; Anar Huseyin | Zendy; Khalik G. Guseinov | Zendy

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Approximation of the Set of Trajectories of the Nonlinear Control System with Limited Control Resources

Author(s) -

Nesir Hüseyin,

Anar Huseyin,

Khalik G. Guseinov

Publication year - 2018

Publication title -

mathematical modelling and analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.491

H-Index - 25

eISSN - 1648-3510

pISSN - 1392-6292

DOI - 10.3846/mma.2018.010

Subject(s) - mathematics , set (abstract data type) , finite set , constraint (computer aided design) , nonlinear system , hausdorff distance , set function , level set (data structures) , control (management) , infinite set , mathematical analysis , computer science , geometry , physics , quantum mechanics , artificial intelligence , programming language

In this paper the control system described by a Urysohn type integral equation is studied. It is assumed that the control functions have integral constraint. Approximation of the set of trajectories generated by all admissible control functions is considered. Step by step way, the set of admissible control functions is replaced by a set consisting of a finite number of control functions which generates a finite number of trajectories. An evaluation of the Hausdorff distance between the set of trajectories of the system and the set, consisting of a finite number of trajectories is obtained.

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