Dissipativity for linear neutral distributed parameter systems: LOI approach

DOI10.1016/J.AML.2011.07.013zbMath1237.34137OpenAlexW2085873091MaRDI QIDQ659821

Zhixin Tai, Shu-xian Lun

Publication date: 24 January 2012

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

Full work available at URL: https://doi.org/10.1016/j.aml.2011.07.013

zbMATH Keywords

heat equationdissipativitydistributed parameter systemslinear operator inequalities (LOIs)

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Partial functional-differential equations (35R10) Functional-differential equations in abstract spaces (34K30) Linear functional-differential equations (34K06) Neutral functional-differential equations (34K40)

Related Items (2)

Input-to-state stability of Lur'e hyperbolic distributed complex-valued parameter control systems: LOI approach ⋮ Exponential stability of linear distributed parameter switched systems with time-delay

Cites Work

• Exponential stability of linear distributed parameter systems with time-varying delays
• Dissipative dynamical systems: basic input-output and state properties
• Delay-dependent dissipative control for linear time-delay systems.
• Reliable dissipative control for stochastic impulsive systems
• Dissipative dynamical systems. I: General theory
• Dissipativity Theory for Switched Systems
• New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems

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