On asympotic behavior of solutions to several classes of discrete dynamical systems  

作　　者：廖晓昕 

出　　处：《Science China Mathematics》2002年第4期432-442,共11页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China (GrantNo. 69874016); the National Key Basic Research Special Fund (Grant No. 1998020319) ; the "95" Climbing Program (Grant No. PD9521907).

摘　　要：In this paper, a new complete and simplified proof for the Husainov-Nikiforova Theorem is given. Then this theorem is generalized to the case where the coefficients may have different signs as well as nonlinear systems. By these results, the robust stability and the bound for robustness for high-order interval discrete dynamical systems are studied, which can be applied to designing stable discrete control system as well as stabilizing a given unstable control system.In this paper, a new complete and simplified proof for the Husainov-Nikiforova Theorem is given. Then this theorem is generalized to the case where the coefficients may have different signs as well as nonlinear systems. By these results, the robust stability and the bound for robustness for high-order interval discrete dynamical systems are studied, which can be applied to designing stable discrete control system as well as stabilizing a given unstable control system.

关 键 词：discrete DYNAMICAL systems  characteristic equation  HURWITZ stability  SCHUR stability  robustness. 

分 类 号：O193[理学—数学]