Infinite dimensional time-varying systems with nonlinear output feedback

DOI10.1007/BF01203385zbMath0839.93057OpenAlexW2066132167MaRDI QIDQ1898016

Birgit Jacob, Vasile Dragan, Anthony J. Pritchard

Publication date: 20 September 1995

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01203385

zbMATH Keywords

infinite-dimensional systemsoutput feedbacktime-varyingrobust-stability

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Robust stability (93D09) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Model systems in control theory (93C99)

Related Items

Representation of infinite-dimensional neutral non-autonomous control systems ⋮ On the admissibility of observation operators in the context of maximal regularity ⋮ Well-posed systems -- the LTI case and beyond ⋮ Non-coercive Lyapunov functions for infinite-dimensional systems ⋮ Time-varying additive perturbations of well-posed linear systems ⋮ Observation admissibility for bilinear systems controlled by non-bounded operators ⋮ Well-posedness and stability of non-autonomous semilinear input-output systems

Uses Software

• HP90

Cites Work

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• Robustness of stability of time-varying linear systems
• Robustness of linear systems
• Destabilization by output feedback
• Interconnection of nonlinear causal systems
• The Riccati Integral Equations for Optimal Control Problems on Hilbert Spaces
• Admissibility of Unbounded Control Operators
• Robust Stability of Linear Evolution Operators on Banach Spaces
• The Linear Quadratic Control Problem for Infinite Dimensional Systems with Unbounded Input and Output Operators
• A Frequency-Domain Condition for the Stability of Feedback Systems Containing a Single Time-Varying Nonlinear Element