Global asymptotic stability of a class of complex networks via decentralised static output feedback control
Global asymptotic stability of a class of complex networks via decentralised static output feedback control
- Author(s): P. Lu and Y. Yang
- DOI: 10.1049/iet-cta.2009.0416
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- Author(s): P. Lu 1 and Y. Yang 2
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View affiliations
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Affiliations:
1: School of Automation, Beijing Institute of Technology, Beijing, People's Republic of China
2: Department of Mechanics and Aerospace Technology, Peking University, Beijing, People's Republic of China
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Affiliations:
1: School of Automation, Beijing Institute of Technology, Beijing, People's Republic of China
- Source:
Volume 4, Issue 11,
November 2010,
p.
2463 – 2470
DOI: 10.1049/iet-cta.2009.0416 , Print ISSN 1751-8644, Online ISSN 1751-8652
This study deals with the problem of the decentralised static output feedback for a class of dynamic networks with each node being a general Lur'e system. On the basis of the Kalman–Yakubovich–Popov (KYP) lemma, linear matrix inequality (LMI) conditions guaranteeing the stability of such dynamic networks are established. In addition, the following interesting result is derived: the stability problem for the whole Nn-dimensional dynamic networks can be converted into the simple n-dimensional space in terms of only two LMIs. Finally, a concrete application to mutually coupled phase-locked loop networks shows the validity of the proposed approaches.
Inspec keywords: complex networks; asymptotic stability; decentralised control; feedback; linear matrix inequalities
Other keywords:
Subjects: Multivariable control systems; Stability in control theory; Algebra
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