DocumentCode
2886972
Title
Stability of Stochastic Forest Evolution Systems
Author
Li, Ning-yin ; Zhang, Qi-Min
Author_Institution
Ethnic Preparatory Courses Dept., Ningxia Univ.
fYear
2006
fDate
13-16 Aug. 2006
Firstpage
580
Lastpage
584
Abstract
In this paper, we introduce a class of stochastic forest evolution dynamic system. Applying the theory of stochastic functional differential equation, using Ito formula, Gronwall´s lemma and Barkholder-Davis-Gundy´s lemma, exponential stability of strong solution is proved for a class of stochastic forest evolution dynamic system on Hilbert space. In particular, as a direct consequence our main results extend some of those from ordinary forest evolution dynamic system
Keywords
Hilbert spaces; asymptotic stability; differential equations; forestry; functional equations; stochastic systems; Barkholder-Davis-Gundy lemma; Gronwall lemma; Hilbert space; Ito formula; exponential stability; stochastic forest evolution dynamic system stability; stochastic functional differential equation; Computer science; Cybernetics; Differential equations; Fires; Hilbert space; Indium tin oxide; Machine learning; Mathematics; Stability; Stability criteria; Stochastic processes; Stochastic systems; Forest evolution systems; Ito formula; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location
Dalian, China
Print_ISBN
1-4244-0061-9
Type
conf
DOI
10.1109/ICMLC.2006.258380
Filename
4028131
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