ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

New Numerical Method for Analyzing BIBO Stability of the Continuous Time Linear System

Author(s):

H. S. Najafi

Department of Mathematics,
Faculty of Sciences
University of Guilan,
P.O.Box 1841,
Rasht,
Iran

hnajafi@guilan.ac.ir

A. H. Refahi

Department of Mathematics,
Faculty of Sciences
University of Guilan,
P.O.Box 1841,
Rasht,
Iran

ah_refahi@yahoo.com

Abstract:

In this paper we prove a new theorem for computing inertia of symmetric large sparse matrix. Based on this theorem, we develop an robust algorithm for determining the inertia and BIBO stability of a continuous-time linear system. The most important property of these methods is determining the inertia and BIBO stability without computing the poles of transfer function.

Full text (pdf)