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L2-bounded stability for a stochastic system†

 

作者: HIROSHI SHIBATA,   SHIRO HATA,  

 

期刊: International Journal of Control  （Taylor Available online 1973）
卷期: Volume 18, issue 6  

页码: 1275-1280

 

ISSN:0020-7179

 

年代: 1973

 

DOI:10.1080/00207177308932599

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Both types of linear and non-linear systems with random coefficients are treated in this paper. Four theorems are proved by using the stochastic Liapunov functional, which give the sufficient condition in matrix form for exponential asymptotic stability in the largo with probability one and L2-bounded stability with probability one.

 

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