p th Mean Practical Stability for Large-Scale Itô Stochastic Systems with Markovian Switching

Yan Yun, Huisheng Shu and Yan Che

Mathematical Problems in Engineering, 2012, vol. 2012, 1-11

Abstract:

Motivated by the study of a class of large-scale stochastic systems with Markovian switching, this correspondence paper is concerned with the practical stability in the p th mean. By investigating Lyapunov-like functions and the basic comparison principle, some criteria are derived for various types of practical stability in the p th mean of nonlinear stochastic systems. The main contribution of these results is to convert the problem of practical stability in the p th mean of stochastic systems into the one of practical stability of the comparative deterministic systems.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:573439

DOI: 10.1155/2012/573439

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