Dwell time for local stability of switched affine systems with application to non-spiking neuron models

DOI10.1016/j.aml.2018.06.026zbMath1418.34034arXiv1712.07517OpenAlexW2963200020WikidataQ129630543 ScholiaQ129630543MaRDI QIDQ1726437

Anthony Phung, O. Yu. Makarenkov

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.07517

zbMATH Keywords

multiple equilibriasubthreshold oscillationsswitched systemdwell-timetrapping regionlinear neuron modelnon-spikingplanar switched affine systems

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36)

Related Items (4)

Finite-time event-triggered control for switched affine systems with time-varying delay under state-dependent switching ⋮ Input-to-state practical stability of switched affine systems with time-varying delay: an event-triggered mechanism ⋮ Asymptotic stabilization for switched affine systems with time delay: A novel dynamic event‐triggered mechanism ⋮ A new approach to stability analysis of switched systems composed of two subsystems with average dwell time switching

Cites Work

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• An MDADT-based approach for \(L_2\)-gain analysis of discrete-time switched delay systems
• Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time

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