Abstract
AbstractDefinitions and methods for checking the identifiability of linear and nonlinear systems are now well established. However this property has not really been investigated for uncertain systems, in particular for set-membership models in a bounded-error context. In this paper, we propose two complementary definitions, set-membership identifiability and μ-set-membership identifiability, the first one is conceptual whereas the second can be put in correspondence with existing set-membership parameter estimation methods. The links between these definitions are exhibited and two methods to check the properties are proposed, illustrated by examples.
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