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Stability and controllability of planar bimodal linear complementarity systems

M.K. Camlibel, W.P.M.H. Heemels, J.M. Schumacher
42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)  

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Stability and controllability of planar bimodal linear complementarity systems Çamlıbel, M.K.; Heemels, W.P.M.H.; Schumacher, J.M. Abstract-Tbe object of study of this paper b the class of hybrid systems consisting of so-called Linear cnmplementarity (LC) systems, that received a lot of attention recently and has strong connections to piecewise ffine (PWA) systems. In addition to PWA systems, some of the linear or ffine submodels of the LC systems can 'live' at lower-dimensional subspaces and
more » ... -initialhations of the state variable at mode changes is possible. For LC systems we study the stability and controllability problem. Although these problems received for various classes of hybrid systems ample attention, necessary and sufficient conditions, wbicb are explicit and easily verifiable, are hardly found in the literature. For LC systems with two modes and a state diinension of two such conditions are presented.
doi:10.1109/cdc.2003.1272849 fatcat:w4rvbijb4rg5peqtzelqafhg5u
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M.K. Camlibel, W.P.M.H. Heemels, J.M. Schumacher. "Stability and controllability of planar bimodal linear complementarity systems." 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)