Exponentially Stable Linear Time-Varying Discrete Behaviors

DOI10.1137/140988498zbMath1417.93262OpenAlexW1760615052MaRDI QIDQ2945611

Henri Bourlès, Ulrich Oberst, Bogdan Marinescu

Publication date: 14 September 2015

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140988498

zbMATH Keywords

exponential stabilitydualitytime-varyingdiscrete behavior

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20)

Related Items (4)

The injectivity of the canonical signal module for multidimensional linear systems of difference equations with variable coefficients ⋮ A constructive test for exponential stability of linear time-varying discrete-time systems ⋮ Weak exponential stability of linear time-varying differential behaviors ⋮ Stabilising compensators for linear time-varying differential systems

Uses Software

• OreModules
• PurityFiltration

Cites Work

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• Grade filtration of linear functional systems.
• On exponential stability for linear discrete-time systems in Banach spaces
• Weak exponential stability of linear time-varying differential behaviors
• Linear time-varying systems. Algebraic-analytic approach
• Discussing some examples of linear system interconnections
• Über die Anwendung der Methode von Ljupanov auf Differenzengleichungen
• Some basic structural properties of generalized linear systems
• Continuous time-varying linear systems
• Galois theory of difference equations
• The injectivity of the canonical signal module for multidimensional linear systems of difference equations with variable coefficients
• Factoring and decomposing a class of linear functional systems
• Stabilising compensators for linear time-varying differential systems
• The Chetaev Theorem for Ordinary Difference Equations
• OreModules: A Symbolic Package for the Study of Multidimensional Linear Systems
• A Transfer-Function Approach to Linear Time-Varying Discrete-Time Systems
• Exponential stability of time-varying linear systems
• Mathematical Systems Theory I
• An algebraic analysis approach to linear time-varying systems
• A Behavioral Approach to Time-Varying Linear Systems. Part 1: General Theory
• Reversible linear and nonlinear discrete-time dynamics

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