Connections between exponential stability and boundedness of solutions of a couple of differential time depending and periodic systems
Among others, we prove that the vectorial time dependent $q$-periodic differential system $$\dot x(t)=A(t)x(t),\quad t\in\mathbb{R}, \quad x(t)\in\mathbb{C}^n\tag{A(t)}$$ is uniformly exponentially stable (i.e. all its solutions decay exponentially at infinity) if and only if for each vector $b\in \...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2011-11-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1060 |