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Delay‐dependant robust stability and stabilization conditions for a class of Lur'e singular time‐delay systems
Author(s) -
Lu Renquan,
Dai Xiaozhen,
Su Hongye,
Chu Jian,
Xue Anke
Publication year - 2008
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.46
Subject(s) - control theory (sociology) , impulse (physics) , stability theory , quadratic equation , stability (learning theory) , mathematics , class (philosophy) , robust control , state (computer science) , linear matrix inequality , exponential stability , control system , computer science , control (management) , mathematical optimization , engineering , nonlinear system , algorithm , physics , geometry , quantum mechanics , artificial intelligence , machine learning , electrical engineering
The problem of the delay‐dependant robust stability and stabilization is dealt with for a class of Lur'e singular system with state time‐delays in this paper. The new concept of generalized robust quadratic stability and generalized robust quadratic stabilization is presented. Furthermore, the sufficient condition of the robust stability and stabilization is also proposed based on linear matrix inequalities. The synthesis problem addressed is to design a memoryless state feedback control law such that the resulting closed‐loop system is regular, impulse free and asymptotically stable for all admissible uncertainties. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society