Title : 
The necessary and sufficient conditions of asymptotic stability of discrete-time dynamic systems
         
        
        
            Author_Institution : 
Sch. of Stat. & Math., Zhong-nan Univ. of Econ. & Law, Wuhan, China
         
        
        
        
        
        
            Abstract : 
In this paper, we study the asymptotically stability, equi-asymptotically stability, quasi-uniformly asymptotically stability and uniformly asymptotically stability of the zero solution of the discrete-time dynamic system, and get the necessary and sufficient conditions.
         
        
            Keywords : 
asymptotic stability; discrete time systems; asymptotic stability; discrete-time dynamic systems; equiasymptotic stability; quasiuniformly asymptotic stability; sufficient condition; uniformly asymptotic stability; Asymptotic stability; Differential equations; Economics; Educational institutions; Neural networks; Stability analysis;
         
        
        
        
            Conference_Titel : 
Advanced Computational Intelligence (IWACI), 2011 Fourth International Workshop on
         
        
            Conference_Location : 
Wuhan
         
        
            Print_ISBN : 
978-1-61284-374-2
         
        
        
            DOI : 
10.1109/IWACI.2011.6160047