Duality of switched DAEs

被引：5

作者：

Kuesters, Ferdinand ^{[1
]}

Trenn, Stephan ^{[2
]}

机构：

[1] Fraunhofer Inst Ind Math, Kaiserslautern, Germany

[2] Univ Kaiserslautern, Technomath Grp, Kaiserslautern, Germany

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2016年 / 28卷 / 03期

关键词：

Duality; Switched systems; Differential-algebraic equations; DIFFERENTIAL-ALGEBRAIC EQUATIONS; CONTROLLABILITY; SYSTEMS; OBSERVABILITY;

D O I：

10.1007/s00498-016-0177-2

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present and discuss the definition of the adjoint and dual of a switched differential-algebraic equation (DAE). For a proper duality definition, it is necessary to extend the class of switched DAEs to allow for additional impact terms. For this switched DAE with impacts, we derive controllability/reachability/determinability/ observability characterizations for a given switching signal. Based on this characterizations, we prove duality between controllability/reachability and determinability/observability for switched DAEs.

引用

页数：35

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