On an invariance principle for differential-algebraic equations with jumps and its application to switched differential-algebraic equations
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- 作者：Pablo Ñañez ; Ricardo G. Sanfelice…
- 关键词：Differential ; algebraic equations ; Switched systems ; Hybrid systems ; Invariance principle ; Descriptor systems ; Singular systems
- 刊名：Mathematics of Control, Signals, and Systems
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：29
- 期：1
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Systems Theory, Control; Control, Robotics, Mechatronics; Communications Engineering, Networks;
- 出版者：Springer London
- ISSN：1435-568X
- 卷排序：29
文摘
We investigate the invariance properties of a class of switched systems where the value of a switching signal determines the current mode of operation (among a finite number of them) and, for each fixed mode, its dynamics are described by a Differential-Algebraic Equation (DAE). Motivated by the lack of invariance principles of switched DAE systems, we develop such principles for switched DAE systems under arbitrary and dwell-time switching. By obtaining a hybrid system model that describes the switched DAE system, we build from invariance results, for hybrid systems, the invariance principles for such switched systems. Examples are included to illustrate the results.