Title : 
Polynomial and Rational Matrix Interpolation: Systems and Control Applications
         
        
            Author : 
Antsaklis, Panos J. ; Gao, Zhiqiang
         
        
            Author_Institution : 
Dept. of Electrical Engineering, University of Notre Dame, Notre Dame, IN 46556. Email: antsakli@saturn.ece.nd.edu
         
        
        
        
        
            Abstract : 
In this paper, a theory of polynomial and rational matrix interpolation is introduced and applied to problems in systems and control. The polynomial matrix interpolation theory is first outlined and then applied to solving matrix equations; it is also used in pole assignment and other control problems. Rational matrix interpolation is also discussed and it is used to solve rational matrix equations including the model matching problem.
         
        
            Keywords : 
Constraint theory; Control systems; Control theory; Controllability; Eigenvalues and eigenfunctions; Equations; Interpolation; Matrices; Polynomials; Testing;
         
        
        
        
            Conference_Titel : 
American Control Conference, 1993
         
        
            Print_ISBN : 
0-7803-0860-3