On the regularity of discrete linear systems

DOI10.1016/j.laa.2009.12.018zbMath1218.93050OpenAlexW1983778604MaRDI QIDQ967492

Adam Czornik, Aleksander Nawrat

Publication date: 29 April 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.12.018

zbMATH Keywords

regularityLyapunov exponentscharacteristic exponentstime-varying linear systems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Additive difference equations (39A10) Stability of control systems (93D99)

Related Items (7)

Non-zero Lyapunov exponents and Lyapunov's coefficient of regularity for flows ⋮ Relations between regularity coefficients ⋮ Description of relations between regularity coefficients of time‐varying linear systems ⋮ Proportional Local Assignability of Lyapunov Spectrum of Linear Discrete Time-Varying Systems ⋮ Stability by the linear approximation for discrete equations ⋮ Lyapunov’s coefficient of regularity and nonuniform hyperbolicity ⋮ On the number of upper Bohl exponents for diagonal discrete time-varying linear system

Cites Work

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• Stability theory and Lyapunov regularity
• Estimates on the exponents of linear nonhomogeneous systems via the Grobman improperness coefficient

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