Title : 
Asymptotic Properties and Stability Criteria of Zeros of Sampled-Data Models for Decouplable MIMO Systems
         
        
            Author : 
Ishitobi, Mitsuaki ; Nishi, Masahiro ; Kunimatsu, Sadaaki
         
        
            Author_Institution : 
Dept. of Mech. Syst. Eng., Kumamoto Univ., Kumamoto, Japan
         
        
        
        
        
        
        
        
            Abstract : 
This note analyzes the zeros of the sampled-data models corresponding to continuous-time decouplable MIMO systems with all relative degrees less than or equal to two and shows approximate expressions of the zeros as power series expansions with respect to a sampling period. Further, stability criteria of the zeros for small sampling periods are given.
         
        
            Keywords : 
MIMO systems; asymptotic stability; continuous time systems; sampled data systems; asymptotic properties; continuous-time decouplable MIMO systems; sampled-data models; stability criteria; Asymptotic stability; Eigenvalues and eigenfunctions; Equations; Limiting; MIMO; Matrices; Stability criteria; Multi-input multi-output (MIMO) system; sampled-data system; zeros;
         
        
        
            Journal_Title : 
Automatic Control, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TAC.2013.2261175