TY - JOUR
T1 - Exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect
AU - Chen, Wu-Hua
AU - Chen, Fu
AU - Lu, Xiaomei
PY - 2010
Y1 - 2010
N2 - In this paper, the exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect is considered. By using the comparison principle and time scale decomposition, a Lyapunov-based sufficient condition for exponential stability in mean square for a sufficiently small singular perturbation parameter ε is derived. Some known results are generalized and improved.
AB - In this paper, the exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect is considered. By using the comparison principle and time scale decomposition, a Lyapunov-based sufficient condition for exponential stability in mean square for a sufficiently small singular perturbation parameter ε is derived. Some known results are generalized and improved.
UR - http://handle.uws.edu.au:8081/1959.7/534930
U2 - 10.1016/j.nonrwa.2009.12.007
DO - 10.1016/j.nonrwa.2009.12.007
M3 - Article
SN - 1468-1218
VL - 11
SP - 3463
EP - 3478
JO - Nonlinear Analysis: Real World Applications
JF - Nonlinear Analysis: Real World Applications
IS - 5
ER -