Title :
Approximation of asymptotic stability domain for differential-difference systems with time delay
Author_Institution :
St.-Peterburg State Univ., St. Petersburg, Russia
fDate :
June 30 2014-July 4 2014
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;
Conference_Titel :
Beam Dynamics and Optimization (BDO), 2014 20th International Workshop on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-5319-6
DOI :
10.1109/BDO.2014.6890101
