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Exponential stability and stabilizability in mean square of large-scale stochastic systems

 

作者: Christophe Boulanger,  

 

期刊: Stochastic Analysis and Applications  (Taylor Available online 1999)
卷期: Volume 17, issue 5  

页码: 727-741

 

ISSN:0736-2994

 

年代: 1999

 

DOI:10.1080/07362999908809632

 

出版商: Marcel Dekker, Inc.

 

关键词: Stochastic Differential Equation;Hierarchical Form;Exponential Stability in Mean Square;Feedback Law

 

数据来源: Taylor

 

摘要:

This paper deals with decomposition techniques for nonlinear large ndash scale stochastic systems which have the feature that the interactions between the various subsystems are nonadditive. We consider the system differential equations into a hierarchical form (see Vidyasagar §). We prove that the overall system is exponentially stable (respectively stabilizable) in mean square if and only if each of the subsystems is exponentially stable (respectively stabilizable) in mean square. Several examples are presented to illustrate the various theorems

 

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