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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 <>
Submitted on : Friday, June 15, 2018 - 11:13:00 AM
Last modification on : Saturday, May 1, 2021 - 3:51:15 AM
Contributor : Myriam Baverel <>
Submitted on : Friday, June 15, 2018 - 11:13:00 AM
Last modification on : Saturday, May 1, 2021 - 3:51:15 AM