Title :
Stability of Stochastic Forest Evolution Systems
Author :
Li, Ning-yin ; Zhang, Qi-Min
Author_Institution :
Ethnic Preparatory Courses Dept., Ningxia Univ.
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;
Conference_Titel :
Machine Learning and Cybernetics, 2006 International Conference on
Conference_Location :
Dalian, China
Print_ISBN :
1-4244-0061-9
DOI :
10.1109/ICMLC.2006.258380
