New sets of stability criteria as a generalization of Markov's stability theorem

DOI10.1080/00207178608933560zbMath0582.93059OpenAlexW2000405564MaRDI QIDQ3707891

Shinji Hayashi, Nozomu Hamada, Kazumi Horiguchi

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00207178608933560

zbMATH Keywords

linear time-invariant continuous-time systemsalgebraic stability criteriaMarkov's stability theorem

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Stability of control systems (93D99) Model systems in control theory (93C99)

Cites Work

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• Routh approximations for reducing order of linear, time-invariant systems
• Linear model reduction using Hurwitz polynomial approximation
• Application of the Second Method of Lyapunov to the Proof of the Markov Stability Criterion

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