Controllability and Stabilizability of Discontinuous Bimodal Piecewise Linear Systems

DOI10.1007/978-3-319-20988-3_21zbMath1403.93045OpenAlexW2340874463MaRDI QIDQ4558884

Kanat Camlibel, Le Quang Thuan

Publication date: 30 November 2018

Published in: Mathematical Control Theory I (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-20988-3_21

zbMATH Keywords

differential inclusionpiecewise linear systemalgebraic characterizationpull systemlinear subsystem

Mathematics Subject Classification ID

Controllability (93B05) Popov-type stability of feedback systems (93D10) Linear systems in control theory (93C05) Algebraic methods (93B25) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Popov-Belevitch-Hautus type controllability tests for linear complementarity systems
• Complexity of stability and controllability of elementary hybrid systems
• A full characterization of stabilizability of bimodal piecewise linear systems with scalar inputs
• Controllability and Stabilizability of a Class of Continuous Piecewise Affine Dynamical Systems
• A nine-fold canonical decomposition for linear systems
• Controllability is Harder to Decide than Accessibility
• Algebraic Necessary and Sufficient Conditions for the Controllability of Conewise Linear Systems
• Control theory for linear systems

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