International Journal of Control, Automation and Systems 2018; 16(4): 1532-1540
Published online May 15, 2018
https://doi.org/10.1007/s12555-017-0354-1
© The International Journal of Control, Automation, and Systems
This paper investigates a model of hybrid impulsive and switching stochastic systems (HISSS) with time-delay. Several stability criteria, including the globally asymptotical and exponential stability criteria in the pth moment and mean square, are established by using Itô formula, a generalized switching Lyapunov functions and some relating techniques. Especially, a more general Lyapunov-Krasivskii functional is constructed, and it is observed that the mean square asymptotic and exponential stability conditions of HISSS are delay-dependent. A numerical example shows that the obtained stability results can reduce the conservativeness."
Keywords Hybrid stochastic differential systems, impulsive and switching, stability, time delay.
International Journal of Control, Automation and Systems 2018; 16(4): 1532-1540
Published online August 1, 2018 https://doi.org/10.1007/s12555-017-0354-1
Copyright © The International Journal of Control, Automation, and Systems.
Xuegang Tan, Bin Hu, Zhi-Hong Guan*, Rui-Quan Liao, Jiang-Wen Xiao, and Yuehua Huang
Huazhong University of Science and Technology
This paper investigates a model of hybrid impulsive and switching stochastic systems (HISSS) with time-delay. Several stability criteria, including the globally asymptotical and exponential stability criteria in the pth moment and mean square, are established by using Itô formula, a generalized switching Lyapunov functions and some relating techniques. Especially, a more general Lyapunov-Krasivskii functional is constructed, and it is observed that the mean square asymptotic and exponential stability conditions of HISSS are delay-dependent. A numerical example shows that the obtained stability results can reduce the conservativeness."
Keywords: Hybrid stochastic differential systems, impulsive and switching, stability, time delay.
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