H. S. Najafi
Department of Mathematics,
Faculty of Sciences
University of Guilan,
P.O.Box 1841,
Rasht,
Iran
A. H. Refahi
Department of Mathematics,
Faculty of Sciences
University of Guilan,
P.O.Box 1841,
Rasht,
Iran
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.