In this paper, we introduce a new concept of stochastic finite-time stability for a class of nonlinear Markovian switching systems with impulsive effects. Based on the linear matrix inequality approach, sufficient conditions for the system to be stochastic finite-time stable are derived. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed conditions.
Stochastic Finite-Time Stability of Nonlinear Markovian Switching Systems With Impulsive Effects
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Xu, J., Sun, J., and Yue, D. (December 5, 2011). "Stochastic Finite-Time Stability of Nonlinear Markovian Switching Systems With Impulsive Effects." ASME. J. Dyn. Sys., Meas., Control. January 2012; 134(1): 011011. https://doi.org/10.1115/1.4005359
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