Exponential stability criteria for nonautonomous difference systems

DOI10.1155/2014/206343zbMath1310.39009OpenAlexW2079512201WikidataQ59044181 ScholiaQ59044181MaRDI QIDQ2260307

Rigoberto Medina

Publication date: 10 March 2015

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/206343

zbMATH Keywords

exponential stabilityfreezing methodlinear nonautonomous systemssystems of linear difference equations

Mathematics Subject Classification ID

Stability theory for difference equations (39A30) Linear difference equations (39A06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dual Szegő pairs of sequences of rational matrix-valued functions
• Sufficient conditions for the exponential stability of nonautonomous difference equations
• On the Lyapunov equation in Banach spaces and applications to control problems
• Difference equations in Banach spaces
• On the stability of slowly time-varying linear systems
• Representation of solutions of discrete delayed system \(x(k+1)=Ax(k)+Bx(k-m)+f(k)\) with commutative matrices
• Exponential stabilizability and robustness analysis for discrete-time nonlinear systems
• Functions of matrices
• Control of slowly-varying linear systems
• Non-Exponential Stabilization of Nonlinear Discrete-Time Systems
• New sufficient conditions for the stability of slowly varying linear systems
• Stabilizability for nonlinear systems of difference equations
• Global stabilization of non-linear discrete-time systems by linear feedback
• On stability radii of infinite–dimensional time–varying discrete––time systems
• The Freezing Method for Linear Difference Equations
• Relaxed Conditions for the Exponential Stability of a Class of Linear Time-Varying Systems

This page was built for publication: Exponential stability criteria for nonautonomous difference systems