Certain algebraic procedures for stability analysis and lower order model formulation of linear time invariant systems

Abstract

Stability is the most important property to be possessed by all kinds newlineof systems The given system may be asymptotically stable or aperiodically newlinestable with regard to a given operating point it may be relatively stable For a newlinegiven linear timeinvariant continuous as well as discrete system numerous newlinealgebraic and graphical procedures are available to analyze the stability newlineutilizing the system characteristic equation Firstly three simple procedures newlineare presented employing Pseudo Routh Column Polynomial and Auxiliary newlinePolynomials extracted suitably from Routh table as well as original newlinecharacteristic equation of linear timeinvariant continuous system Design of newlineparameters residing in the system characteristic equation is also carried out newlinewith the help of these polynomials newline newline newline