On the transfer matrix of a neutral system: Characterizations of exponential stability in input-output terms

DOI10.1016/0167-6911(87)90068-5zbMath0629.93054OpenAlexW1965361609MaRDI QIDQ1094377

Hartmut Logemann

Publication date: 1987

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(87)90068-5

zbMATH Keywords

exponential stabilitytransfer functiontime-invariant\(L^ 2\)-stabilitydelay systems of neutral type

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Spaces of bounded analytic functions of one complex variable (30H05) Control problems for functional-differential equations (34K35)

Related Items (6)

On the transfer matrix of a neutral system: Characterizations of exponential stability in input-output terms ⋮ State feedback and estimation of well-posed systems ⋮ The effect of small delays in the feedback loop on the stability of neutral systems ⋮ Representations and regularity of vector-valued right-shift invariant operators between half-line Bessel potential spaces ⋮ Internal and external stability and robust stability condition for a class of infinite-dimensional systems ⋮ Low-gain control of unknown infinite-dimensional systems: a frequency-domain approach

Cites Work

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• On the existence of finite-dimensional compensators for retarded and neutral systems
• An algebra of transfer functions for distributed linear time-invariant systems
• On the existence of right-coprime factorization for functions meromorphic in a half-plane
• Simplifications and clarifications on the paper 'An algebra of transfer functions for distributed linear time-invariant systems'
• The transmission zeros of systems with delays†
• On Sequential Convergence
• A class of functional equations of neutral type

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