Stability results for a class of difference systems with delay

DOI10.1155/2009/938492zbMath1187.39025OpenAlexW2113803010WikidataQ59250244 ScholiaQ59250244MaRDI QIDQ963086

Eva Kaslik

Publication date: 8 April 2010

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226491

zbMATH Keywords

nonlinear difference systemsstability domaindiscrete-time Hopfield neural networkslinear delay difference system

Mathematics Subject Classification ID

Stability theory for difference equations (39A30)

Related Items (9)

Fault detection and estimation for non-Gaussian stochastic systems with time varying delay ⋮ Stability switches in linear delay difference equations ⋮ Exponential stability of linear discrete systems with constant coefficients and single delay ⋮ The stability cone for a difference matrix equation with two delays ⋮ Exponential stability of linear discrete systems with multiple delays ⋮ Stability and exponential stability of linear discrete systems with constant coefficients and single delay ⋮ The stability cone for a matrix delay difference equation ⋮ Exponential stability of perturbed linear discrete systems ⋮ Stability and periodic investigations of linear planar difference systems

Cites Work

• Exact stability criteria for delay differential and difference equations
• Spectral radius and infinity norm of matrices
• Bifurcation analysis for a two-dimensional delayed discrete-time hopfield neural network
• The asymptotic stability of \(x_{n+1}-ax_ n+bx_{n-k}=0\)
• Co-existence of chaos and stable periodic orbits in a simple discrete neural network
• A note on asymptotic stability of delay difference systems
• A note on the stability oval for

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