Title :
On the local stability estimation using first Lyapunov exponent calculation
Author :
Bespalov, Alexander V. ; Chistyakov, Yury S.
Author_Institution :
St.-Petersburg State Electrotech. Univ. (SPbSETU), St. Petersburg, Russia
Abstract :
Two methods of the first Lyapunov exponent estimation for nonchaotic systems using time series are developed. Method´s adequacy was tested on the typical systems. Analysis of the dependence between the estimation precision and the algorithm´s parameters was performed.
Keywords :
Lyapunov methods; nonlinear control systems; stability; time-varying systems; estimation precision; first Lyapunov exponent calculation; local stability estimation; method adequacy; nonchaotic systems; nonlinear systems; time series; time varying systems; Algorithm design and analysis; Costs; Differential equations; Nonlinear systems; Oscillators; Performance analysis; Stability; System testing; Time measurement; Time varying systems; Lyapunov exponent; Van der Pol oscillator; nonlinear systems; time varying systems;
Conference_Titel :
EUROCON 2009, EUROCON '09. IEEE
Conference_Location :
St.-Petersburg
Print_ISBN :
978-1-4244-3860-0
Electronic_ISBN :
978-1-4244-3861-7
DOI :
10.1109/EURCON.2009.5167919
