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Journal articles
On global asymptotic stability of $\dot x = \phi(t)\phi^\top (t)x$ with $\phi(t)$ bounded and not persistently exciting
Abstract : We study global convergence to zero of the solutions of the th order differential equation . We are interested in the case when the vector is not persistently exciting, which is a necessary and sufficient condition for global exponential stability. In particular, we establish new necessary conditions on for global asymptotic stability of the zero equilibrium of the “unexcited” system. A new sufficient condition, that is strictly weaker than the ones reported in the literature, is also established. Unfortunately, it is also shown that this condition is not necessary.
https://hal-centralesupelec.archives-ouvertes.fr/hal-01816386
Contributor : Myriam Baverel Connect in order to contact the contributor
Submitted on : Wednesday, May 18, 2022 - 6:30:09 PM
Last modification on : Friday, May 20, 2022 - 3:02:18 AM
Contributor : Myriam Baverel Connect in order to contact the contributor
Submitted on : Wednesday, May 18, 2022 - 6:30:09 PM
Last modification on : Friday, May 20, 2022 - 3:02:18 AM
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Barabanov2017.pdf
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