Necessary and sufficient conditions for strong stability of distributed parameter systems

DOI10.1016/S0167-6911(98)00109-1zbMath0917.93059OpenAlexW2048949483WikidataQ128066966 ScholiaQ128066966MaRDI QIDQ1292471

Ruth F. Curtain, Job C. Oostveen

Publication date: 21 June 1999

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(98)00109-1

zbMATH Keywords

stabilizabilitydistributed parameter systemsinput-output stabilitystrong stabilityinfinite-dimensional control systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Input-output approaches in control theory (93D25)

Related Items (8)

Normalized doubly coprime factorizations for infinite-dimensional linear systems ⋮ Design of adaptive output feedback synchronizing controllers for networked PDEs with boundary and in-domain structured perturbations and disturbances ⋮ Exponential stability conditions for non-autonomous differential equations with unbounded commutators in a Banach space ⋮ Stability of evolution equations with small commutators in a Banach space ⋮ Robustly stabilizing controllers for dissipative infinite-dimensional systems with collocated actuators and sensors ⋮ Optimisation and adaptation of synchronisation controllers for networked second-order infinite-dimensional systems ⋮ Regular linear systems and their reciprocals: applications to Riccati equations ⋮ Event-Triggered Control of Infinite-Dimensional Systems

Cites Work

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• Riccati equations for strongly stabilizable bounded linear systems
• Robustly stabilizing controllers for dissipative infinite-dimensional systems with collocated actuators and sensors
• Dynamic stabilization of regular linear systems
• New results on the operator Carleson measure criterion
• Conditions for the equivalence of internal and external stability for distributed parameter systems
• Coprime Factorizations and Well-Posed Linear Systems
• Quadratic optimal control of stable well-posed linear systems
• An Approximation Theory for Strongly Stabilizing Solutions tothe Operator LQ Riccati Equation

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