Stability of linear infinite-dimensional systems revisited

DOI10.1080/00207178808906194zbMath0661.93037OpenAlexW1968972275MaRDI QIDQ3812117

M. MacIej Przyłuski

Publication date: 1988

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178808906194

zbMATH Keywords

continuous-timepower stability\(\ell ^ p\)-stabilitylinear infinite-dimensional discrete-time and continuous-time systems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Groups and semigroups of linear operators (47D03) Control/observation systems in abstract spaces (93C25)

Related Items (4)

Stability radii of infinite-dimensional positive systems ⋮ Stability and Stabilizability for Linear Systems of Difference Equations ⋮ Stability criteria for positive linear discrete-time systems ⋮ Solving the infinite-dimensional discrete-time algebraic Riccati equation using the extended symplectic pencil

Cites Work

• The Lyapunov equation and the problem of stability for linear bounded discrete-time systems in Hilbert space
• An extension of a theorem of A. M. Lyapunov to semi-groups of operators
• Differential equation s in abstract spaces
• Stability and Stabilizability of Infinite-Dimensional Systems
• On the Applicability of Lyapunov’s Theorem in Hilbert Space
• On the Control of Discrete-Time Distributed Parameter Systems
• Remarks on the Control of Discrete-Time Distributed Parameter Systems

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