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A Lyapunov theorem for semigroups of operators

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Publication:753757
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DOI10.1016/0167-6911(90)90008-IzbMath0716.93037MaRDI QIDQ753757

Luciano Pandolfi

Publication date: 1990

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


zbMATH Keywords

Lyapunov equationsretarted systems


Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems in abstract spaces (93C25)


Related Items

Lyapunov operator inequalities for exponential stability of Banach space semigroups of operators ⋮ LQ-optimal control of infinite-dimensional systems by spectral factorization ⋮ The Lyapunov operator equation for the exponential dichotomy of one-parameter semigroups



Cites Work

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  • Generalization of Liapunov's theorem in a linear delay system
  • An extension of a theorem of A. M. Lyapunov to semi-groups of operators
  • Extending a theorem of A. M. Liapunov to Hilbert space
  • Some Properties of Distributed Control Systems with Finite-Dimensional Input Space
  • Stabilization of control processes in Hilbert spaces
  • Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
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