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Stabilizability, Observability and Detectability for Discrete Stochastic Systems

Meng LI(李猛), Hui-ying SUN(孙慧影), Min SANG(桑敏)

 

College of Information and Electrical Engineering, Shandong Unive rsity of Science and Technology, Qingdao 266510, China

 

Abstract-This paper mainly discusses stabilizatbility, exact  observability and exact detectability of discrete stochastic systems with both  static and control dependent noise via the spectrum technique. The authors put  forward a definition of the spectrum and give some theorems based on the spectru m. Then the relation between discrete generalized Lyapunov equation and discrete  generalized algebraic Riccati equation is also analyzed.

 

Key words-spectrum technique; discrete stochastic syste ms; detectability; observability

 

Manuscript Number: 1674-8042(2010)04-0387-04

 

dio: 10.3969/j.issn.1674-8042.2010.04.19

 

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