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Zbl 1242.93134
Tai, Zhixin
Absolute mean square exponential stability of Lur'e stochastic distributed parameter control systems. (English)
[J] Appl. Math. Lett. 25, No. 4, 712-716 (2012). ISSN 0893-9659

Summary: In this work, the absolute mean square exponential stability of Lur'e stochastic distributed parameter control systems has been addressed. Delay-dependent sufficient conditions for the stochastic stability in Hilbert spaces are established in terms of Linear Operator Inequalities (LOIs). Finally, the stochastic wave equation illustrates our result.
MSC 2000:
*93E15 Stochastic stability
93C25 Control systems in abstract spaces
93C20 Control systems governed by PDE
35L05 Wave equation
93B28 Operator-theoretic methods in systems theory

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

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