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A generalized approach to stabilization of linear interconnected time‐delay systems
Author(s) -
Mahmoud Magdi S.,
Xia Yuanqing
Publication year - 2012
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.419
Subject(s) - passivity , control theory (sociology) , dissipative system , stability (learning theory) , convex optimization , exponential stability , regular polygon , stability theory , state (computer science) , control (management) , mathematics , computer science , nonlinear system , engineering , algorithm , physics , geometry , quantum mechanics , artificial intelligence , machine learning , electrical engineering
The objective of this paper is to propose a generalized approach to stabilization of systems which are composed of linear time‐delay subsystems coupled by linear time‐varying interconnections. The proposed algorithms, which are formulated within the convex optimization framework, provide decentralized solutions to the problem of delay‐dependent asymptotic stability with strict dissipativity. It is established that the new methodology can reproduce earlier results on passivity, positive realness and disturbance attenuation. Then a decentralized structure of dissipative state‐feedback controllers is designed to render the closed‐loop interconnected system delay‐dependent asymptotically stable with strict dissipativity. Numerical examples are presented to illustrate the applicability of the design method. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society