The matching of two stable sewing linear systems in the plane

DOI10.1016/j.jmaa.2015.08.037zbMath1330.34031OpenAlexW1460854636MaRDI QIDQ499192

Alexander Fernandes da Fonseca, Denis de Carvalho Braga, Luis Fernando Mello

Publication date: 30 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.08.037

zbMATH Keywords

global stabilityHurwitz matrixnon-smooth differential systempiecewise linear differential system

Mathematics Subject Classification ID

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

Related Items (1)

The discontinuous matching of two globally asymptotically stable crossing piecewise smooth systems in the plane do not produce in general a piecewise differential system globally asymptotically stable

Cites Work

• The continuous matching of two stable linear systems can be unstable
• Stability tests and stabilization for piecewise linear systems based on poles and zeros of subsystems
• Existence of piecewise linear differential systems with exactly \(n\) limit cycles for all \(n\in \mathbb N\)
• Uniqueness of limit cycles for sewing planar piecewise linear systems
• Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
• LOWER BOUNDS FOR THE MAXIMUM NUMBER OF LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH A STRAIGHT LINE OF SEPARATION
• More Than Three Limit Cycles in Discontinuous Piecewise Linear Differential Systems with Two Zones in the Plane
• PIECEWISE LINEAR FEEDBACK SYSTEMS WITH ARBITRARY NUMBER OF LIMIT CYCLES
• Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
• Canonical Discontinuous Planar Piecewise Linear Systems
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