arXiv
Open Access
2024
Existence of eigensets on bilinear control systems
Eduardo Celso Viscovini
Abstrak
For bilinear control systems in $\mathbb{R}^d$ we prove, under an accessibility hypothesis, the existence of a nontrivial compact set $D\subset\mathbb{R}^d$ satisfying $\mathcal{O}_t(D)=e^{tR}D$ for all $t>0$, where $R\in\mathbb{R}$ is a fixed constant and $\mathcal{O}_t(D)$ denotes the orbit from $D$ at time $t$. This property generalizes the trajectory of an eigenvector on a linear dynamical system, and merits such a set the name "eigenset".
Topik & Kata Kunci
Penulis (1)
E
Eduardo Celso Viscovini
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2024
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- en
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- arXiv
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- Open Access ✓