On asymptotic stability of linear time-varying infinite-dimensional systems

DOI10.1016/0167-6911(85)90084-2zbMath0573.93050OpenAlexW2025941283MaRDI QIDQ1062951

B. George

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0167-6911(85)90084-2

zbMATH Keywords

asymptotic equistabilitycollectively compact systemslinear infinite dimensional discrete-time systemsTime-varying retarded functional differential equations

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Stability theory of functional-differential equations (34K20) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Control/observation systems in abstract spaces (93C25) Model systems in control theory (93C99)

Related Items (7)

Remarks on the stability of linear infinite-dimensional discrete-time systems ⋮ Which functions may be the upper Bohl function of the diagonal discrete linear time-varying systems? ⋮ What types of functions may be the lower Bohl function of a diagonal discrete linear time-varying systems? ⋮ Stability and Stabilizability for Linear Systems of Difference Equations ⋮ On the riccati difference equation of optimal control ⋮ Alternative formulae for lower general exponent of discrete linear time-varying systems ⋮ On the number of upper Bohl exponents for diagonal discrete time-varying linear system

Cites Work

• On stability of linear time-varying infinite-dimensional discrete-time systems
• The Lyapunov equation and the problem of stability for linear bounded discrete-time systems in Hilbert space
• On observers for linear discrete-time systems with delays and unknown disturbances
• Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
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