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  5. Stabilizing Solution and Parameter Dependence of Modified Algebraic Riccati Equation With Application to Discrete-Time Network Synchronization

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Article
English
2015

Stabilizing Solution and Parameter Dependence of Modified Algebraic Riccati Equation With Application to Discrete-Time Network Synchronization

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English
2015
IEEE Transactions on Automatic Control
Vol 61 (1)
DOI: 10.1109/tac.2015.2434011

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Guanrong Chen
Guanrong Chen

City University Of Hong Kong

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Michael Z. Q. Chen
Liangyin Zhang
Housheng Su
+1 more

Abstract

This technical note deals with a modified algebraic Riccati equation (MARE) and its corresponding inequality and difference equation, which arise in modified optimal control and filtering problems and are introduced into the cooperative control problems recently. The stabilizing property of the solution to MARE is presented. Then, the uniqueness is proved for the almost stabilizing and positive semi-definite solution. Next, the parameter dependence of MARE is analyzed. An obtained parameter dependence result is finally applied to the study of semi-global synchronization of leader-following networks with discrete-time linear dynamics subject to actuator saturation.

How to cite this publication

Michael Z. Q. Chen, Liangyin Zhang, Housheng Su, Guanrong Chen (2015). Stabilizing Solution and Parameter Dependence of Modified Algebraic Riccati Equation With Application to Discrete-Time Network Synchronization. IEEE Transactions on Automatic Control, 61(1), pp. 228-233, DOI: 10.1109/tac.2015.2434011.

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Publication Details

Type

Article

Year

2015

Authors

4

Datasets

0

Total Files

0

Language

English

Journal

IEEE Transactions on Automatic Control

DOI

10.1109/tac.2015.2434011

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