Minimality and identifiability of SARX systems

The paper addresses the problem of minimality and identifiability of Switched AutoRegressive eXogenous (abbreviated by SARX) models. We propose a notion of identifiability and minimality for SARX models which depends only on the parameters of the model, not on data. We formulate conditions for minimality and identifiability of SARX systems. In particular, we show that SARX systems are generically identifiable.