Stabilization of control processes in Hilbert spaces

DOI10.1017/S0308210500010581zbMath0403.93038OpenAlexW2110979228MaRDI QIDQ4189152

Luciano Pandolfi

Publication date: 1978

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500010581

zbMATH Keywords

FeedbackStabilizationHilbert SpacesRiccati EquationAutonomous Control Processes

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Control problems for functional-differential equations (34K35) Control/observation systems in abstract spaces (93C25)

Related Items

Sampled-data stabilization of linear time-delay systems, Feedback stabilization of linear retarded systems in Banach spaces, Nonautonomous regulator problem in Hilbert spaces, A Lyapunov theorem for semigroups of operators, Stable sampled-data feedback control of dynamic systems with time delays

Cites Work

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• The infinite-dimensional Riccati equation
• Extending a theorem of A. M. Liapunov to Hilbert space
• A linear control problem in an abstract Hilbert space
• Stability and the Infinite-Time Quadratic Cost Problem for Linear Hereditary Differential Systems
• The Infinite Dimensional Riccati Equation with Applications to Affine Hereditary Differential Systems