標題: Pragmatical asymptotical stability theorems on partial region and for partial variables with applications to gyroscopic systems
作者: Ge, ZM
Yu, JK
機械工程學系
Department of Mechanical Engineering
關鍵字: stability;partial region;partial variables;pragmatical asymptotical stability
公開日期: 1-Dec-2000
摘要: For a long time, all stability theorems are concerned with the stability of the zero solution of the differential equations of disturbed motion on the whole region of the neighborhood of the origin. But for various problems of dynamical systems, the stability is actually on partial region. In other words, the traditional mathematical model is unmatched with the dynamical reality and artificially sets too strict demand which is unnecessary. Besides, although the stability for many problems of dynamical systems may not be mathematical asymptotical stability, it is actual asymptotical stability - namely "pragmatical asymptotical stability", which can be introduced by the concept of probability. In order to fill the gap between the traditional mathematical model and dynamical reality of various systems, one pragmatical asymptotical stability theorem on partial region and one pragmatical asymptotical stability theorem on partial region for partial variables are given and applications for gyroscope systems are presented.
URI: http://hdl.handle.net/11536/30094
ISSN: 1017-4370
期刊: CHINESE JOURNAL OF MECHANICS-SERIES A
Volume: 16
Issue: 4
起始頁: 179
結束頁: 187
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