Title :
Computation of the Excitability Index for Linear Oscillators
Author :
Andrievsky, Boris
Author_Institution :
Control of Complex Systems Lab, Institute for Problems of Mechanical Engineering, Russian Academy of Sciences, 61, V.O. Bolshoy Av. 199178, Saint Petersburg, Russia, bandri@yandex.ru
Abstract :
The problem of numerical evaluation of the excitability index for oscillatory systems is considered. It is shown that the speed-gradient excitation provides exact solution to the maximum energy problem for a second order linear oscillator over the infinite time interval. Upper and lower bounds for the total energy of the system in the steady-state oscillation mode and the excitability index are estimated. Exact value of the accessible system energy for the harmonic excitation case is found.
Keywords :
Control design; Control systems; Information analysis; Linear systems; Nonlinear systems; Optimal control; Oscillators; Power engineering and energy; Resonance; Steady-state;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582710
