Minimality and identifiability of discrete-time switched autoregressive exogenous systems

被引：7
|
作者：
Petreczky, M. [1 ]
Bako, L. [2 ]
Lecoeuche, S. [3 ]
Motchon, K. M. D. [4 ]
机构：
[1] CNRS, Ctr Rech Informat Signal & Automat Lille, Cent Lille, UMR 9189,CRIStAL, F-59000 Lille, France
[2] Ecole Cent Lyon, Lab Ampere, Ecully, France
[3] Univ Lille, Unite Rech Informat Automat, IMT Lille Douai, Lille, France
[4] Univ Reims, CReSTIC, EA 3804, Reims, France
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2020年 / 30卷 / 15期
关键词：
hybrid systems; identifiability; minimality; switched ARX systems; system identification; PIECEWISE AFFINE SYSTEMS; SUBSPACE IDENTIFICATION;
D O I：
10.1002/rnc.5039
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：5871 / 5891
页数：21
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