离散动态系统稳定与不稳定的代数判据  

Algebraic Criteria for Stability and Instability of Discrete Dynamic Systems

作　　者：龙瑞仙[1] 刘建州[1] 

机构地区：[1]湘潭大学数学与计算机科学学院,湖南湘潭411105

出　　处：《湖南工业大学学报》2008年第2期35-39,共5页Journal of Hunan University of Technology

基　　金：国家自然科学基金资助项目(10671164);湖南省教育厅重点资助项目(06A070)

摘　　要：首先指出相关文献结果中的几个错误,并对其进行了修正。进一步利用矩阵特征值界的估计,获得了区间矩阵及离散动态系统稳定、不稳定和混合稳定的一些简单实用的判据,并通过实例说明结果的有效性。Some mistakes of the main results in the recently research have been pointed out and then modified. Further, by using the technique of matrix eigenvalues boundary, some simple and applicable algebraic criteria of the stability, the instability and the mixed stability for the interval matrices and discrete dynamic systems have been gained. Finally, the effectiveness of the results are illustrated by numerical examples.

关 键 词：离散动态系统 渐近稳定性 区间矩阵 特征值分析 离散稳定 混合稳定 离散不稳定 

分 类 号：O231[理学—运筹学与控制论] TP13[理学—数学]