On the Solvability of a Nonlinear Tracking Problem Under Boundary Control for the Elastic Oscillations Described by Fredholm Integro-Differential Equations - System Modeling and Optimization Access content directly
Conference Papers Year : 2016

On the Solvability of a Nonlinear Tracking Problem Under Boundary Control for the Elastic Oscillations Described by Fredholm Integro-Differential Equations

Akylbek Kerimbekov
  • Function : Author
  • PersonId : 1021972
Elmira Abdyldaeva
  • Function : Author
  • PersonId : 1021973

Abstract

In the present paper we investigate nonlinear tracking problem under boundary control for the oscillation processes described by Fredholm integro-differential equations. When we investigate this problem we use notion of a weak generalized solution of the boundary value problem. Based on the maximum principle for distributed systems we obtain optimality conditions from which follow the nonlinear integral equation of optimal control and the differential inequality. We have developed an algorithm to construct the optimization problem solution. This solving method of a nonlinear tracking problem is constructive and can be used in applications.
Fichier principal
Vignette du fichier
447583_1_En_29_Chapter.pdf (132.17 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01626903 , version 1 (31-10-2017)

Licence

Attribution

Identifiers

Cite

Akylbek Kerimbekov, Elmira Abdyldaeva. On the Solvability of a Nonlinear Tracking Problem Under Boundary Control for the Elastic Oscillations Described by Fredholm Integro-Differential Equations. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.312-321, ⟨10.1007/978-3-319-55795-3_29⟩. ⟨hal-01626903⟩
113 View
80 Download

Altmetric

Share

Gmail Facebook X LinkedIn More