|Title||BOUNDEDNESS AND DISSIPATION FOR DISCRETE-TIME DYNAMIC SYSTEMS|
|Publication Type||Journal Article|
|Year of Publication||2011|
|Authors||ZHAO XINQUAN, LIU XINZHI, ZHANG ZHIGANG, LIAO XIAOXIN|
|Journal||Dynamic Systems and Applications|
|AMS Subject Classification||39A10|
This paper studies boundedness and dissipation of solutions of a class of discretetime dynamic systems. By the method of Lyapunov functions, some necessary and sufficient criteria on boundedness, equi-boundedness, uniform boundedness, and uniform dissipation are established. In addition, some sufficient criteria on dissipation, equi-dissipation and uniform dissipation are also obtained. Some examples are given to illustrate our results.