Title : 
Linearization of discrete-time systems via restricted dynamic feedback
         
        
            Author : 
Lee, Hong-Gi ; Arapostathis, Ari ; Marcus, Steven I.
         
        
            Author_Institution : 
Sch. of Electr. & Electron. Eng., Chung-Ang Univ., Seoul, South Korea
         
        
        
        
        
        
        
            Abstract : 
We extend the results from a previous paper of ours to multiple-input systems, and utilize these to obtain necessary and sufficient conditions for the linearization of discrete-time nonlinear systems via restricted dynamic feedback. We observe that for discrete-time nonlinear systems, the bound on the number of delays (or integrators) needed to synthesize the linearizing dynamic feedback differs from the continuous-time analogue.
         
        
            Keywords : 
control system synthesis; discrete time systems; feedback; linearisation techniques; nonlinear systems; delays; discrete-time systems; necessary conditions; nonlinear systems; restricted dynamic feedback; sufficient conditions; Control systems; Delay; Feedback loop; Linear feedback control systems; Linear systems; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; State feedback; Sufficient conditions;
         
        
        
            Journal_Title : 
Automatic Control, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TAC.2003.817009