Compactness of the set of trajectories of the control system described by a Urysohn type integral equation with quadratic integral constraints on the control functions

Abstract In this paper the control system is considered described by a Urysohn type integral equation which is nonlinear with respect to the state vector and is affine with respect to the control vector. The functions from the space L 2 ( [ t 0 , θ ] ; R m ) $L_{2} ( [t_{0},\theta ];\mathbb {R}^{m}...

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Bibliographic Details
Main Authors: Idham A Alias, Nesir Huseyin, Anar Huseyin
Format: Article
Language:English
Published: SpringerOpen 2016-02-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-015-0908-9