exponential stability of neutral stochastic functional differential equations with two-time-scale markovian switching

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ID: 208603
2014
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Abstract
We develop exponential stability of neutral stochastic functional differential equations with two-time-scale Markovian switching modeled by a continuous-time Markov chain which has a large state space. To overcome the computational effort and the complexity, we split the large-scale system into several classes and lump the states in each class into one class by the different states of changes of the subsystems; then, we give a limit system to effectively “replace” the large-scale system. Under suitable conditions, using the stability of the limit system as a bridge, the desired asymptotic properties of the large-scale system with Brownian motion and Poisson jump are obtained by utilizing perturbed Lyapunov function methods and Razumikhin-type criteria. Two examples are provided to demonstrate our results.
Reference Key
hu2014mathematicalexponential Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Junhao Hu;Zhiying Xu
Journal journal of power sources
Year 2014
DOI
10.1155/2014/907982
URL
http://dx.doi.org/10.1155/2014/907982
Keywords
civil engineering (general)mathematics engineering (general)

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