Title : 
A framework for the stability of a class of neutral type systems in a critical case
         
        
            Author : 
Quan, Quan ; Cai Kai-Yuan
         
        
            Author_Institution : 
Dept. of Autom. Control, Beijing Univ. of Aeronaut. & Astronaut., Beijing, China
         
        
        
        
        
        
            Abstract : 
Under the proposed framework, a class of existing stability criteria can be extended to determine the stability of a class of neutral type systems in a critical case, i.e., the spectral radius of the principal neutral term (matrix D in this paper) is equal to 1. Furthermore, an interesting property of the extended criteria is given. Illustrative examples are presented to demonstrate the effectiveness of the proposed framework.
         
        
            Keywords : 
stability criteria; neutral type systems; principal neutral term; spectral radius; stability criteria; Asymptotic stability; Delay; Eigenvalues and eigenfunctions; Robust stability; Stability criteria; Time domain analysis; Critical Case; Neutral Type System; Stability;
         
        
        
        
            Conference_Titel : 
Control Conference (CCC), 2010 29th Chinese
         
        
            Conference_Location : 
Beijing
         
        
            Print_ISBN : 
978-1-4244-6263-6