Approximate construction of the set of trajectories of the control system described by a Volterra integral equation

DOI10.1002/mana.201300191zbMath1328.93133OpenAlexW1949074794MaRDI QIDQ3465958

V. N. Ushakov, Nesir Huseyin, Khalik G. Guseinov

Publication date: 29 January 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201300191

zbMATH Keywords

integral equationapproximation methodcontrol systemset of trajectoriesintegral constraint

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Nonlinear systems in control theory (93C10) Control/observation systems governed by functional-differential equations (93C23) Volterra integral equations (45D05) Discrete approximations in optimal control (49M25)

Related Items (5)

On the continuity properties of the \(L_p\) balls ⋮ Approximation of the integral funnel of the Urysohn type integral operator ⋮ Approximation of the Set of Trajectories of the Nonlinear Control System with Limited Control Resources ⋮ On the compactness of the set of L2 trajectories of the control system ⋮ Continuity of \(L_p\) balls and an application to input-output systems

Cites Work

• Unnamed Item
• Alternative for an encounter-evasion differential game with integral constraints on the players' controls
• Compactness of the set of trajectories of the controllable system described by an affine integral equation
• On a Nonlinear Integral Equation for Population Growth Problems
• PRECOMPACTNESS OF THE SET OF TRAJECTORIES OF THE CONTROLLABLE SYSTEM DESCRIBED BY A NONLINEAR VOLTERRA INTEGRAL EQUATION
• Solutions of Volterra integral equations with infinite delay
• On monotonic solutions of an integral equation of Volterra–Stieltjes type

This page was built for publication: Approximate construction of the set of trajectories of the control system described by a Volterra integral equation