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Optimal stabilizing controllers for linear discrete-time stochastic systems

✍ Scribed by Jun-E Feng; James Lam; Shengyuan Xu; Zhan Shu

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
110 KB
Volume
29
Category
Article
ISSN
0143-2087

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✦ Synopsis

Abstract

The relationship between the spectral radius and the decay rate for discrete stochastic systems is investigated. Several equivalent conditions are obtained, which guarantee a specified decay rate of the closed‐loop systems. Based on the relationship, this paper provides a design method for state feedback controllers, which ensure that the closed‐loop systems converge as fast as possible. Finally, a numerical example is used to illustrate the developed method. Copyright Β© 2007 John Wiley & Sons, Ltd.

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