Lyapunov and LMI analysis and feedback control of border collision bifurcations

DOI10.1007/S11071-006-9169-YzbMath1193.70039OpenAlexW2007093477MaRDI QIDQ842233

Munther A. Hassouneh, Eyad H. Abed

Publication date: 22 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-006-9169-y

zbMATH Keywords

bifurcationswitched systemsfeedback controlborder collision bifurcationpiecewise smooth systems

Mathematics Subject Classification ID

Feedback control (93B52) Bifurcations and instability for nonlinear problems in mechanics (70K50) Control of mechanical systems (70Q05)

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Cites Work

• Unnamed Item
• Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
• ``Period three to period two bifurcation for piecewise linear models
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• The increasingly complex structure of the bifurcation tree of a piecewise-smooth system
• Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits
• Bifurcations in two-dimensional piecewise smooth maps-theory and applications in switching circuits
• Linear Matrix Inequalities in System and Control Theory
• BIFURCATIONS OF ATTRACTING CYCLES FROM TIME-DELAYED CHUA’S CIRCUIT
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• Computation of piecewise quadratic Lyapunov functions for hybrid systems
• Border-collision bifurcations in the buck converter
• Stability analysis of piecewise discrete-time linear systems
• Corner collision implies border-collision bifurcation

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