Algebraic Necessary and Sufficient Conditions for the Controllability of Conewise Linear Systems

DOI10.1109/TAC.2008.916660zbMath1367.93067MaRDI QIDQ4974179

W. P. M. H. Heemels, Johannes M. Schumacher, M. Kanat Camlibel

Publication date: 8 August 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Controllability (93B05) Geometric methods (93B27) Linearizations (93B18) Attainable sets, reachability (93B03)

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Null controllability of planar bimodal piecewise linear systems ⋮ Controllability and Stabilizability of Discontinuous Bimodal Piecewise Linear Systems ⋮ Popov-Belevitch-Hautus type controllability tests for linear complementarity systems ⋮ Three modeling paradigms in mathematical programming ⋮ Flow functions, control flow functions, and the reach control problem ⋮ Well posedness conditions for bimodal piecewise affine systems ⋮ A full characterization of stabilizability of bimodal piecewise linear systems with scalar inputs ⋮ Quadratic stability and stabilization of bimodal piecewise linear systems ⋮ When is a linear multi-modal system disturbance decoupled? ⋮ Passivity and complementarity ⋮ Reconfigurable control of piecewise affine systems with actuator and sensor faults: stability and tracking ⋮ Switching and stability properties of conewise linear systems ⋮ Nonsmooth bifurcations of equilibria in planar continuous systems ⋮ Observability analysis of conewise linear systems via directional derivative and positive invariance techniques

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