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題名 | The Relationship between the Various Stabilities of the General Linear Poisson Stochastic Differential Equation=一般線性Poisson方程的各類穩定性之間的關係 |
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作者 | 丁雲龍; Ting, Yunlung; |
期刊 | 正修學報 |
出版日期 | 20001200 |
卷期 | 13 2000.12[民89.12] |
頁次 | 頁11-18 |
分類號 | 319.5 |
語文 | eng |
關鍵詞 | Poisson過程; 隨機一致穩定性; 隨機一致漸近穩定性; p階矩穩定性; p階矩漸近穩定性; p階矩指數穩定性; 隨機漸近不穩定性; q階矩指數不穩定; Poisson processes; Stochastic differential equations; Stochastically uniform stability; Stochastically uniform asymptotic stability; pth moment stability; pth moment asymptotic stability; pth moment exponential stability; Stochastically uniform asymptotic instability; qth moment exponential instability; |
中文摘要 | 本文是在文獻[1]的基礎上,研究一般線性Poisson方程的各類穩定性之間的關係,建立了(1)局部穩定性與全局穩定性,(2)隨機穩定性與矩穩定性,(3)隨機漸近穩定性與p階矩指數穩定性,(4)隨機漸近不穩定性與q階矩指數不穩定性等之各類穩定性之間的關係定理。最後,使用一個範例來說明這些定理的應用。 |
英文摘要 | On the basis of [1], this paper is further to study the links between the various stabilities of the general linear Poisson equation. First, for the sake of convenience, the question of structure of the solution of Linear Poisson Systems is considered. Then we investigate the links between the various stabilities of the general linear Poisson equation. Some relevant theorems for the following aspects: (1) Local stability and global stability, (2) Stochastic stability and moment stability, (3) Stochastically asymptotic stability and pth moment exponential stability, (4) Stochastically asymptotic instability and qth moment exponential instability. are established. Finally, one example is provided to illustrate the usage of these theorems. |
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