Approximations of the images and integral funnels of the \(L_p\) balls under a Urysohn-type integral operator

DOI10.1134/S0016266322040050MaRDI QIDQ2699732

Anar Huseyin, Nesir Huseyin, Khalik G. Guseinov

Publication date: 19 April 2023

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.08424

zbMATH Keywords

approximationinput-output systemintegral funnelUrysohn integral operatorimage of \(L_p\) ball

Mathematics Subject Classification ID

Operator theory (47-XX)

Related Items (5)

ON THE PROPERTIES OF THE SET OF TRAJECTORIES OF THE NONLINEAR CONTROL SYSTEM WITH QUADRATIC INTEGRAL CONSTRAINT ON THE CONTROL FUNCTIONS ⋮ On the continuity properties of the \(L_p\) balls ⋮ On the robustness of the integrable trajectories of the control systems with limited control resources ⋮ On the Vietoris semicontinuity property of the \(L_p\) balls at \(p=1\) and an application ⋮ Unnamed Item

Cites Work

• Dynamics and control of trajectory tubes. Theory and computation
• An algorithm for approximate calculation of the attainable sets of the nonlinear control systems with integral constraint on controls
• Alternative for the encounter-evasion differential game with constraints on the momenta of the players' controls
• On the method of penalty functions for control systems with state constraints under integral constraints on the control
• An approach problem for a control system and a compact set in the phase space in the presence of phase constraints
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