Title : 
Robust stability of time-variant discrete-time systems with bounded parameter perturbations
         
        
            Author : 
Premaratne, Kamal ; Mansour, Mohamed
         
        
            Author_Institution : 
Dept. of Electr. & Comput. Eng., Miami Univ., Coral Gables, FL, USA
         
        
        
        
        
            fDate : 
1/1/1995 12:00:00 AM
         
        
        
        
            Abstract : 
In this paper, global asymptotic stability of linear, time-variant, finite dimensional, zero input difference equations is investigated. We propose a technique that may be utilized to obtain regions of asymptotic stability in the coefficient space that incorporate information regarding the maximum rate of change of system parameters. Use of different matrix norms provide different “shapes” for the maximum allowable coefficient perturbations
         
        
            Keywords : 
asymptotic stability; difference equations; discrete time systems; linear systems; matrix algebra; robust control; bounded parameter perturbations; coefficient perturbations; coefficient space; discrete-time systems; finite dimensional difference equations; global asymptotic stability; linear difference equations; matrix norms; robust stability; time-variant systems; zero input difference equations; Adaptive signal processing; Asymptotic stability; Automatic control; Chromium; Difference equations; Eigenvalues and eigenfunctions; Laboratories; Robust stability; Robustness; TV;
         
        
        
            Journal_Title : 
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on