On the zero-dynamics of a class of hybrid LTI systems: A geometric approach
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Mattioni M., Monaco S., Normand-Cyrot D.
ISSN: 2475-1456
This letter deals with the geometric characterization of the zero-dynamics for linear time-invariant systems with aperiodic time-driven jumps. As the intuition suggests, it is given by the restriction of the dynamics onto the largest subspace over which the trajectories are constrained to ensure zero output. Such a dynamics is characterized by a subset of the flowing zeros and a subset of the zeros which can be fictitiously associated to the jumping dynamics.