Occurrence of big bang bifurcations in discretized sliding-mode control systems

DOI10.1007/s12591-012-0121-yzbMath1277.37108OpenAlexW1972213619MaRDI QIDQ1936724

Albert Granados, Enric Fossas

Publication date: 6 February 2013

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-012-0121-y

zbMATH Keywords

sliding-mode controlrelaysperiod addingbig bang bifurcationstwo-dimensional piecewise-defined maps

Mathematics Subject Classification ID

Variable structure systems (93B12) Dynamical systems in control (37N35) Bifurcation theory for difference equations (39A28)

Related Items (2)

The Period Adding and Incrementing Bifurcations: From Rotation Theory to Applications ⋮ Canards in piecewise-linear systems: explosions and super-explosions

Cites Work

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• Sufficient conditions for a period incrementing big bang bifurcation in one-dimensional maps
• On multi-parametric bifurcations in a scalar piecewise-linear map
• The gluing bifurcation: I. Symbolic dynamics of closed curves
• Variable structure systems with sliding modes
• Global aspects of homoclinic bifurcations of vector fields
• Discretization behaviors of equivalent control based sliding-mode control systems

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