Stability of regime-switching diffusions

被引：168

作者：

Khasminskii, R. Z. ^{[1
]}

Zhu, C. ^{[1
]}

Yin, G. ^{[1
]}

机构：

[1] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2007年 / 117卷 / 08期

基金：

美国国家科学基金会;

关键词：

regime-s witching diffusion; stability; necessary condition; sufficient condition;

D O I：

10.1016/j.spa.2006.12.001

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This work is devoted to stability of regime-switching diffusion processes. After presenting the formulation of regime-switching diffusions, the notion of stability is recalled, and necessary conditions for p-stability are obtained. Then main results on stability and instability for systems arising in approximation are presented. Easily verifiable conditions are established. An example is examined as a demonstration. A remark on linear systems is also provided. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：1037 / 1051

页数：15

共 16 条

[1] EFFICIENT ANALYTIC APPROXIMATION OF AMERICAN OPTION VALUES
BARONEADESI, G
WHALEY, RE
[J]. JOURNAL OF FINANCE, 1987, 42 (02) : 301 - 320
[2] STABILITY AND CONTROL OF STOCHASTIC-SYSTEMS WITH WIDEBAND NOISE DISTURBANCES .1.
BLANKENSHIP, G
PAPANICOLAOU, GC
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 34 (03) : 437 - 476
[3] Cox DR., 1965, THEORY STOCHASTIC PR
[4] A unified approach for stochastic and mean square stability of continuous-time linear systems with Markovian jumping parameters and additive disturbances
Fragoso, MD
Costa, OLV
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2005, 44 (04) : 1165 - 1191
[5] Golub GH., 2013, Matrix Computations, DOI 10.56021/9781421407944
[6] Khasminskii RZ., 1980, STOCHASTIC STABILITY
[7] Ladyzenskaja O. A., 1968, TRANSLATIONS MATH MO, V23
[8] Lieberman Gary M., 1996, Second Order Parabolic Differential Equations, DOI [10.1142/3302, DOI 10.1142/3302]
[9] Stability of stochastic differential equations with Markovian switching
Mao, XR
[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1999, 79 (01) : 45 - 67
[10] Stabilization and destabilization of hybrid systems of stochastic differential equations
Mao, Xuerong
Yin, G. George
Yuan, Chenggui
[J]. AUTOMATICA, 2007, 43 (02) : 264 - 273

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