Nonuniform polynomial dichotomy for noninvertible linear discrete-time systems in Banach spaces

DOI10.1155/2015/185910zbMath1326.93067OpenAlexW1612810866WikidataQ59112362 ScholiaQ59112362MaRDI QIDQ892566

Tian Yue

Publication date: 19 November 2015

Published in: Journal of Control Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/185910

zbMATH Keywords

Lyapunov functionsnonuniform polynomial dichotomylinear discrete-time systems in Banach spacespolynomial dichotomy concepts

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Control/observation systems in abstract spaces (93C25)

Cites Work

• Unnamed Item
• Nonuniform power instability and Lyapunov sequences
• On the dichotomic behavior of discrete dynamical systems on the half-line
• On exponential stability for linear discrete-time systems in Banach spaces
• Polynomial growth rates
• Stable manifolds for nonuniform polynomial dichotomies
• On dichotomous behavior of variational difference equations and applications
• On exponential dichotomy of variational difference equations
• Dichotomies in stability theory
• Exponential dichotomies of evolution operators in Banach spaces
• Lyapunov sequences for exponential dichotomies
• Stability of nonautonomous differential equations
• Exponential dichotomies for linear discrete-time systems in Banach spaces
• Dynamics of evolutionary equations

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