Stability of non-autonomous difference equations with applications to transport and wave propagation on networks

DOI10.3934/nhm.2016010zbMath1388.39008arXiv1504.01116OpenAlexW2238655651MaRDI QIDQ727490

Guilherme Mazanti, Yacine Chitour, Mario Sigalotti

Publication date: 7 December 2016

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01116

zbMATH Keywords

wave propagationexponential stabilityswitching systemsnetworksdifference equationstransport equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stability theory for difference equations (39A30) Applications of difference equations (39A60)

Related Items (12)

Boundary feedback stabilization of quasilinear hyperbolic systems with partially dissipative structure ⋮ Null-Controllability of the Linear Kuramoto--Sivashinsky Equation on Star-Shaped Trees ⋮ New criteria for exponential stability of a class of nonlinear continuous-time difference systems with delays ⋮ Diffusion and robustness of boundary feedback stabilization of hyperbolic systems ⋮ Hautus-Yamamoto criteria for approximate and exact controllability of linear difference delay equations ⋮ Relative Controllability of Linear Difference Equations ⋮ SWITCHING SYNCHRONIZED CHAOTIC SYSTEMS APPLIED TO SECURE COMMUNICATION ⋮ Finite Time Stabilization of Nonautonomous First-Order Hyperbolic Systems ⋮ One-dimensional wave equation with set-valued boundary damping: well-posedness, asymptotic stability, and decay rates ⋮ Approximate and exact controllability of linear difference equations ⋮ Stability and spectral properties of general tree-shaped wave networks with variable coefficients ⋮ Sufficient Stability Conditions for Time-varying Networks of Telegrapher's Equations or Difference-Delay Equations

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