Stability and controllability of planar, conewise linear systems

DOI10.1016/j.sysconle.2006.08.008zbMath1108.93013OpenAlexW2175724122WikidataQ60167519 ScholiaQ60167519MaRDI QIDQ864588

Mireille E. Broucke, Aristotle Arapostathis

Publication date: 12 February 2007

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2006.08.008

zbMATH Keywords

stabilitycontrollabilityswitched systemspiecewise-linear systems

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20)

Related Items (5)

Necessary and sufficient conditions for regional stabilisability of second-order switched linear systems with a finite number of subsystems ⋮ When is a linear multi-modal system disturbance decoupled? ⋮ Necessary and sufficient conditions for regional stabilisability of generic switched linear systems with a pair of planar subsystems ⋮ Switching and stability properties of conewise linear systems ⋮ Nonsmooth bifurcations of equilibria in planar continuous systems

Cites Work

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• Stability analysis of switched systems using variational principles: An introduction
• A transitivity problem from control theory
• Stability of switched systems: a Lie-algebraic condition
• Characterization of well-posedness of piecewise-linear systems
• Lie-Algebraic Stability Criteria for Switched Systems
• The stability of planar dynamical systems linear-in-cones
• Observability with a conic observation set
• Asymptotic controllability implies feedback stabilization
• Stability Analysis of Second-Order Switched Homogeneous Systems
• Stability of Planar Switched Systems: The Linear Single Input Case
• Stabilization of second-order LTI switched systems

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