Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (7): 915-924.doi: https://doi.org/10.1007/s10483-009-0710-x

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The p-moment exponential robust stability for stochastic systems with distributed delays and interval parameters

 SU Chun-Hua1,2, LIU Si-Feng1   

  1. 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China;
    2. College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, Henan Province, P. R. China
  • Received:2008-05-31 Revised:2009-05-12 Online:2009-07-01 Published:2009-07-01

Abstract: The p-moment exponential robust stability for stochastic systems with distributed delays and interval parameters is studied. By constructing the Lyapunov- Krasovskii functional and employing the decomposition technique of interval matrix and Itˆo’s formula, the delay-dependent criteria for the p-moment exponential robust stability are obtained. Numerical examples show the validity and practicality of the presented criteria.

Key words: interval matrix, stochastic systems, distributed delays, robust stability

2010 MSC Number: 

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