A method of stabilization by means of right-hand sides

Authors

  • A.B. Kalinina

Keywords:

stabilization methods
ordinary differential equations
unstable solutions

Abstract

The stabilization problem for unstable solutions of systems of ordinary differential equations by means of the right-hand sides is considered. An existence theorem for the sought-for control is proved, an algorithm of its construction is proposed and substantiated, and some numerical results are discussed. Keywords: stabilization methods, ordinary differential equations, unstable solutions


Published

2008-06-24

Issue

Section

Section 1. Numerical methods and applications

Author Biography

A.B. Kalinina


References

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  2. Chizhonkov E.V. Numerical aspects of one stabilization method // Russ. J. Numer. Anal. Math. Modelling. 2003. 18, N 5. 363-376.
  3. Корнев А.А. Метод асимптотической стабилизации по начальным данным к заданной траектории // Журн. вычисл. матем. матем. физ. 2006. 46, № 1. 37-51.
  4. Шильников Л.П., Шильников А.Л., Тураев Д.В., Чуа Л. Методы качественной теории в нелинейной динамике. Москва -Ижевск: Институт компьютерных исследований, 2003.
  5. Kornev A.A. Задачи асимптотической стабилизации по правой части // Russ. J. Numer. Anal. Math. Modelling. 2008 (в печати).

 How to cite   
Kochikov I.V., Kovtun D.M. and Tarasov Yu.I. A new software for processing the radial symmetric diffractograms // Numerical Methods and Programming. 2008. 9, No 1. 12–18.

TEX CODE:

Kochikov I. , Kovtun D. and Tarasov Y. , (2008) “A new software for processing the radial symmetric diffractograms,” Numerical Methods and Programming, vol. 9, no. 1, pp. 12–18.

TEX CODE:

I. Kochikov, D. Kovtun and Y. Tarasov, “A new software for processing the radial symmetric diffractograms,” Numerical Methods and Programming 9, no. 1 (2008): 12–18

TEX CODE:

Kochikov I. , Kovtun D. and Tarasov Y. A new software for processing the radial symmetric diffractograms. Numerical Methods and Programming. 2008;9(1):12–18..

TEX CODE:



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