This article studies the problem of minimality and identifiability for switched autoregressive exogenous (SARX) systems. We propose formal definitions of the concepts of identifiability and minimality for SARX models. Based on these formalizations, we derive conditions for minimality and identifiability of SARX systems. In particular, we show that polynomially parameterized SARX systems are generically identifiable.

中文翻译：

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离散时间切换自回归外生系统的极小性和可识别性

本文研究交换自回归外生（SARX）系统的最小性和可识别性问题。我们为SARX模型提出了可识别性和最小化概念的正式定义。基于这些形式化，我们得出了SARX系统的最小化和可识别性的条件。特别是，我们表明多项式参数化的SARX系统是通用可识别的。