頁籤選單縮合
題 名 | Estimates for the Norms of Solutions of a Perturbed Linear Dynamical System=干擾動力系統解之大小估計 |
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作 者 | 鄭穗生; | 書刊名 | Proceedings of the National Science Council : Part A, Physical Science and Engineering |
卷 期 | 24:2 2000.03[民89.03] |
頁 次 | 頁95-98 |
分類號 | 314.22 |
關鍵詞 | 干擾動力系統; Perturbed dynamical system; Asymptotic stability; Eigenvalue; Norm; |
語 文 | 英文(English) |
英文摘要 | This paper is concerned with an nonautonomous perturbed linear dynamical system xk+1=Axk+Fk(xk). A well known result of Perron states that this system is asymptotically stable if A is stable and that Fk(x)=f(x)=o(?x?). It is clear that this is purely a local result which gives no information about the size of the region of asymptotic stability nor the size of the solutions. In this paper, estimates for the size of the solutions and regions of stability are derived. |
本系統中英文摘要資訊取自各篇刊載內容。