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ASYMPTOTIC PROPERTIES OF HYBRID DIFFUSION SYSTEMS.
- Source :
-
SIAM Journal on Control & Optimization . 2007, Vol. 46 Issue 4, p1155-1179. 25p. 1 Diagram. - Publication Year :
- 2007
-
Abstract
- In response to the increasing needs for control and optimization of hybrid systems, this work is concerned with such asymptotic properties as recurrence (also known as weak stochastic stability in the literature) and ergodicity of regime-switching diffusions. Using Liapunov functions, necessary and sufficient conditions for positive recurrence are developed. Then, ergodicity of positive recurrent regime-switching diffusions is obtained by constructing cycles using the associated discretetime Markov chains. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 46
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 27023801
- Full Text :
- https://doi.org/10.1137/060649343