The $k$-Compound of a Difference-Algebraic System
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866915292030959616 |
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| author | Ofir, Ron Margaliot, Michael |
| author_facet | Ofir, Ron Margaliot, Michael |
| contents | The multiplicative and additive compounds of a matrix have important applications in geometry, linear algebra, and the analysis of dynamical systems. In particular, the $k$-compounds allow to build a $k$-compound dynamical system that tracks the evolution of $k$-dimensional parallelotopes along the original dynamics. This has recently found many applications in the analysis of non-linear systems described by ODEs and difference equations. Here, we introduce the $k$-compound system corresponding to a differential-algebraic system, and describe several applications to the analysis of discrete-time dynamical systems described by difference-algebraic equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_01419 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The $k$-Compound of a Difference-Algebraic System Ofir, Ron Margaliot, Michael Systems and Control The multiplicative and additive compounds of a matrix have important applications in geometry, linear algebra, and the analysis of dynamical systems. In particular, the $k$-compounds allow to build a $k$-compound dynamical system that tracks the evolution of $k$-dimensional parallelotopes along the original dynamics. This has recently found many applications in the analysis of non-linear systems described by ODEs and difference equations. Here, we introduce the $k$-compound system corresponding to a differential-algebraic system, and describe several applications to the analysis of discrete-time dynamical systems described by difference-algebraic equations. |
| title | The $k$-Compound of a Difference-Algebraic System |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2111.01419 |