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Approximation of the Sections of the Set of Trajectories of the Control System Described by a Nonlinear Volterra Integral Equation

Abstract

Approximation of the sections of the set of trajectories of the control system described by a nonlinear Volterra integral equation is studied. The admissible control functions are chosen from the closed ball of the space Lp, p > 1, with radius µ and centered at the origin. The set of admissible control functions is replaced by the set of control functions, which includes a finite number of control functions and generates a finite number of trajectories. It is proved that the sections of the set of trajectories can be approximated by the sections of the set of trajectories, generated by a finite number of control functions.

Keyword : nonlinear Volterra integral equation, control system, integral constraint, set of trajectories, approximation method

How to Cite
Huseyin, A., Huseyin, N., & Guseinov, K. G. (2015). Approximation of the Sections of the Set of Trajectories of the Control System Described by a Nonlinear Volterra Integral Equation. Mathematical Modelling and Analysis, 20(4), 502-515. https://doi.org/10.3846/13926292.2015.1070766
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Jul 20, 2015
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