Stability of Hybrid Stochastic Systems with Time-Delay | Zendy

Xingcheng Pu | Zendy; Yuan Wei | Zendy

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Stability of Hybrid Stochastic Systems with Time-Delay

Author(s) -

Xingcheng Pu,

Yuan Wei

Publication year - 2014

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.1155/2014/423413

Subject(s) - hybrid system , stability (learning theory) , linear matrix inequality , control theory (sociology) , artificial neural network , computer science , noise (video) , mathematics , mathematical optimization , control (management) , artificial intelligence , machine learning , image (mathematics)

This paper develops some criteria for a kind of hybrid stochastic systems with time-delay, which improve existing results on hybrid systems without considering noises. The improved results show that the presence of noise is quite involved in the stability analysis of hybrid systems. New results can be used to analyze the stability of a kind of stochastic hybrid impulsive and switching neural networks (SHISNN). Therefore, stability analysis of SHISNN can be turned into solving a linear matrix inequality (LMI).

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