\(\ell^\infty\)-stability analysis of discrete autonomous systems described by Laurent polynomial matrix operators

DOI10.1016/j.sysconle.2016.03.005zbMath1343.39029OpenAlexW2316003981MaRDI QIDQ288904

Chirayu D. Athalye, Debasattam Pal, Harish K. Pillai

Publication date: 27 May 2016

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2016.03.005

zbMATH Keywords

\(\ell^\infty\)-stability2-D autonomous systemsinfinite-dimensional autonomous systemsLaurent polynomial matrix

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability theory for difference equations (39A30) Linear difference equations (39A06)

Related Items

Localized Stability Certificates for Spatially Distributed Systems over Sparse Proximity Graphs ⋮ \(\ell^2\)-stability: the cases of infinite dimensional discrete autonomous systems and 2-D autonomous systems ⋮ Stability of one-dimensioned spatially interconnected systems

Cites Work

• Corrigendum to: ``Time-relevant stability of 2D systems
• Infinite chains of kinematic points
• Time-relevant stability of 2D systems
• Banach algebra techniques to compute spectra, pseudospectra and condition spectra of some block operators with continuous symbols
• Infinite-dimensional feedback systems: the circle criterion and input-to-state stability
• Representation Formulae for Discrete 2D Autonomous Systems
• Spectral radius inequalities for Hilbert space operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item