Abstract
The purpose of this paper is to study continuity of the parametrization of continuous-time linear time-invariant differential systems having a finite-dimensional state space. We show that convergence of the behavior of such systems corresponds to convergence of the coefficients of a set of associated differential equations. For this to hold, both the behavior and the convergence need to be appropriately defined.
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Nieuwenhuis, J.W., Willems, J.C. Continuity of dynamical systems: The continuous-time case. Math. Control Signal Systems 5, 391–400 (1992). https://doi.org/10.1007/BF02134012
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DOI: https://doi.org/10.1007/BF02134012