Approximation of asymptotic stability domain for differential-difference systems with time delay

Author

Zaranik, Ulyana

Author_Institution

St.-Peterburg State Univ., St. Petersburg, Russia

fYear

2014

fDate

June 30 2014-July 4 2014

Firstpage

1

Lastpage

2

Abstract

The asymptotically stability domain for nonlinear systems of differential-difference equations is approximated by the domain of asymptotically stability for difference equation systems. The algorithm for estimating the asymptotically stability domain for a difference system is developed and it is based on the Lyapunov-Krasovskii functional method. The method of asymptotically stability domain mapping in functional space is proposed. An example is given to illustrate the method.

Keywords

Lyapunov methods; asymptotic stability; beam handling techniques; delays; difference equations; differential equations; linear accelerators; Lyapunov-Krasovskii functional method; asymptotic stability domain approximation; asymptotically stability domain; asymptotically stability domain estimation algorithm; asymptotically stability domain mapping method; charged particles beam controlled motion; difference equation system; differential-difference equation nonlinear system; differential-difference system; functional space; linear accelerator; time delay; Approximation methods; Asymptotic stability; Delay effects; Equations; Optimization; Particle beams; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Beam Dynamics and Optimization (BDO), 2014 20th International Workshop on

Conference_Location

St. Petersburg

Print_ISBN

978-1-4799-5319-6

Type

conf

DOI

10.1109/BDO.2014.6890101

Filename

6890101