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Zbl 1241.93042
Tai, Zhixin; Lun, Shuxian
Absolutely exponential stability of Lur'e distributed parameter control systems.
(English)
[J] Appl. Math. Lett. 25, No. 3, 232-236 (2012). ISSN 0893-9659

Summary: In this work, absolutely exponential stability of Lur'e distributed parameter control systems with delayed state has been addressed. Delay-dependent sufficient conditions for the absolutely exponential stability in Hilbert spaces are established in terms of Linear Operator Inequalities (LOIs). Finally, the wave equation is given to illustrate our result.
MSC 2000:
*93D20 Asymptotic stability of control systems
93C20 Control systems governed by PDE
35L05 Wave equation

Keywords: absolute stability; distributed parameter systems; wave equation; linear operator inequalities (LOIs)

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Scientific prize winners of the ICM 2010
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