Absolutely exponential stability of Lur'e distributed parameter control systems

DOI10.1016/J.AML.2011.07.010zbMath1241.93042OpenAlexW1965587467MaRDI QIDQ427572

Zhixin Tai, Shu-xian Lun

Publication date: 14 June 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.07.010

zbMATH Keywords

absolute stabilitywave equationdistributed parameter systemslinear operator inequalities (LOIs)

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Asymptotic stability in control theory (93D20) Wave equation (35L05)

Related Items (4)

Stability of switched feedback time-varying dynamic systems based on the properties of the gap metric for operators ⋮ Input-to-state stability of Lur'e hyperbolic distributed complex-valued parameter control systems: LOI approach ⋮ Wirtinger-type inequality and the stability analysis of delayed Lur'e system ⋮ Improved stability criteria for neutral type Lur'e systems with time-varying delays

Cites Work

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• Improvement on delay dependent absolute stability of Lur'e control systems with multiple time delays
• New delay-dependent condition for absolute stability of Lurie control systems with multiple time-delays and nonlinearities
• Exponential stability of linear distributed parameter systems with time-varying delays
• Robust absolute stability criteria for uncertain Lur'e systems of neutral type

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