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不确定系统的稳定性
引用本文:刘云安,莫愈仁.不确定系统的稳定性[J].测绘学院学报,1990(2).
作者姓名:刘云安  莫愈仁
作者单位:解放军测绘学院 (刘云安),北京理工大学(莫愈仁)
摘    要:本文研究不确定系统(1)″解的稳定性、定常系统(1)′稳定区间的存在性以及线性系统(4)解的有界性、周期解的存在性等问题;利用区间分析的方法给出系统(1)″稳定判别定理2、定理3和定常系统(1)′稳定区间的存在定理4、非线性系统(14)解的有界性、定理5周期解的存在定理6。

关 键 词:不确定系统  解的稳定性  边值  周期解

The Stability of uncertain System
Liu Yun-an Me Yuren.The Stability of uncertain System[J].Journal of Institute of Surveying and Mapping,1990(2).
Authors:Liu Yun-an Me Yuren
Institution:Liu Yun-an Me Yuren
Abstract:This paper deals with solution stability, solution boundedness, existence of periodic solution to the uncertain system and existence of the stable interval of an asymptotically stable system with constant coefficient by means of the method of interval analysis. The sufficient condition for stability of the uncertain system solutions, existence theorem of stable interval of an asymptotically sole system with constant coefficient, boundedness theorem of solutions to the nonlinear system and existence theorem of its periodic solutions are given.
Keywords:Uncertain system  Interval analysis  Asymptotically stable  Boundedness  Periodec solution  
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