Linear time-variant systems: Lyapunov functions and invariant sets defined by Hölder norms

DOI10.1016/j.jfranklin.2010.01.002zbMath1298.34100OpenAlexW2061516111MaRDI QIDQ468246

Octavian Pastravanu, Mihaela-Hanako Matcovschi

Publication date: 6 November 2014

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2010.01.002

zbMATH Keywords

invariant setsLyapunov functionsmatrix measureLyapunov-type inequalitylinear time-variant system

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

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New upper bounds on the solution matrix to the continuous algebraic Riccati matrix equation ⋮ New solution bounds for the continuous algebraic Riccati equation ⋮ Invariance for stochastic differential systems with time-dependent constraining sets

Cites Work

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• Further comments on "Vector norms as Lyapunov functions for linear systems"
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