What types of functions may be the lower Bohl function of a diagonal discrete linear time-varying systems?

DOI10.1016/j.jfranklin.2017.05.032zbMath1395.93341OpenAlexW2621079697MaRDI QIDQ1661202

Adam Czornik, Artur Babiarz, Michał Niezabitowski, Alexander Konyukh

Publication date: 16 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2017.05.032

zbMATH Keywords

Bohl functiondiagonal discrete linear time-varying systems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Cites Work

• Stability by the linear approximation for discrete equations
• On stability of linear time-varying infinite-dimensional discrete-time systems
• Stability theory and Lyapunov regularity
• Bounds for characteristic exponents of discrete linear time varying systems
• On asymptotic stability of linear time-varying infinite-dimensional systems
• Remarks on the stability of linear infinite-dimensional discrete-time systems
• Dichotomy, discrete Bohl exponents, and spectrum of block weighted shifts
• 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
• Set of possible values of maximal Lyapunov exponents of discrete time-varying linear system
• On the spectrum of discrete time-varying linear systems
• Lyapunov exponents for systems with unbounded coefficients
• On the perturbations preserving spectrum of discrete linear systems
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