Title :
The stability of neutral stochastic partial differential difference equations
Author :
Zhang, Yu-tian ; Luo, Qi
Author_Institution :
Coll. of Sci., Wuhan Univ. of Sci. & Technol., China
Abstract :
In this paper, the stability of a class of neutral stochastic partial differential difference equations was discussed. The main method used in the paper was that, firstly, construct an average Lyapunov function with respect to the spatial variables was constructed; and then the ltd differential formula was used under the integral operator along the system. Some useful criteria for the stability of such systems are established.
Keywords :
Lyapunov methods; asymptotic stability; partial differential equations; stochastic processes; Lyapunov function; exponential stability; neutral stochastic partial differential difference equations; Boundary conditions; Difference equations; Educational institutions; Lyapunov method; Partial differential equations; Stability criteria; Stochastic processes; Stochastic systems; Sufficient conditions; Symmetric matrices;
Conference_Titel :
Machine Learning and Cybernetics, 2004. Proceedings of 2004 International Conference on
Print_ISBN :
0-7803-8403-2
DOI :
10.1109/ICMLC.2004.1382347
