Title :
Exponential stability of solution for the Kuramoto-Sivashinsky equation
Author_Institution :
Sch. of Math. & Comput., NingXia Univ., Yinchuan
Abstract :
In this paper, we discuss the exponential stability, for a class of stochastic Kuramoto-Sivashinsky equation. The analyses consist of using Ito formula, Burkholder-Davis-Gundy inequality, Gronwall lemma and the criteria is also obtained for the exponential stability.
Keywords :
asymptotic stability; partial differential equations; stochastic processes; Burkholder-Davis-Gundy inequality; Gronwall lemma; Ito formula; exponential stability; stochastic Kuramoto-Sivashinsky equation; Automation; Equations; Indium tin oxide; Intelligent control; Mathematics; Stability analysis; Stability criteria; Stochastic processes; Burkholder-Davis-Gundy inequality; Ito formula; exponential stability; stochastic system;
Conference_Titel :
Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4244-2113-8
Electronic_ISBN :
978-1-4244-2114-5
DOI :
10.1109/WCICA.2008.4594318