Lur'e feedback systems with both unbounded control and observation: well-posedness and stability using nonlinear semigroups

DOI10.1016/J.NA.2010.11.014zbMath1215.93033OpenAlexW2094062714MaRDI QIDQ534448

Frank M. Callier, Piotr Grabowski

Publication date: 17 May 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.11.014

zbMATH Keywords

nonlinear semigroupsLaSalle's invariance principleinfinite-dimensional linear plant with unbounded observation and controllinear operator inequalitynonlinear feedback systems with static nonlinearityreciprocal systems

Mathematics Subject Classification ID

Feedback control (93B52) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (3)

On a class of Lur'e dynamical systems with state-dependent set-valued feedback ⋮ Absolute stability criteria for infinite-dimensional discrete Lur'e systems with application to loaded distortionless electric RLCG-transmission line ⋮ Nonsmooth Lur'e dynamical systems in Hilbert spaces

Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representation and control of infinite dimensional systems
• Dynamical systems and evolution equations. Theory and applications
• Riccati equations for strongly stabilizable bounded linear systems
• Admissible observation operators. Semigroup criteria of admissibility
• Regular linear systems and their reciprocals: applications to Riccati equations
• Nonlinear semigroups in Hilbert space
• A nonlinear Hille-Yosida-Phillips theorem
• Semi-groups of nonlinear contractions and dissipative sets
• Differentiability of nonlinear semigroups
• Some remarks on semi-groups of nonlinear operators
• Asymptotic behavior of nonlinear contraction semigroups
• Stability of a heat exchanger feedback control system using the circle criterion
• One-Parameter Semigroups for Linear Evolution Equations
• Corrigendum to: “On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations”
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Boundary control systems in factor form: Transfer functions and input-output maps

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