Title : 
Gerschgorin Theorem and its Applications in Control System Problems
         
        
            Author : 
Hote, Yogesh V. ; Choudhury, D. Roy ; Gupta, J.R.P.
         
        
            Author_Institution : 
Netaji Subhas Inst. of Technol., New Delhi
         
        
        
        
        
        
            Abstract : 
In this paper, we have presented application of Gerschgorin theorem in relative stability analysis of a system represented by a polynomial. We have also presented the applications of Gerschgorin Theorem in reduced order modeling by identifying time scales and stabilization for linear time invariant systems.
         
        
            Keywords : 
Newton method; continuous time systems; control system synthesis; linear systems; polynomials; reduced order systems; stability; Gerschgorin theorem; Newton Raphson method; control system problem; linear time invariant system; polynomial; reduced order system modeling; stability analysis; Application software; Computer science; Control systems; Eigenvalues and eigenfunctions; Partitioning algorithms; Polynomials; Stability analysis; Stability criteria; Symmetric matrices; Time invariant systems;
         
        
        
        
            Conference_Titel : 
Industrial Technology, 2006. ICIT 2006. IEEE International Conference on
         
        
            Conference_Location : 
Mumbai
         
        
            Print_ISBN : 
1-4244-0726-5
         
        
            Electronic_ISBN : 
1-4244-0726-5
         
        
        
            DOI : 
10.1109/ICIT.2006.372700