Comptes Rendus
no. 3
Ordinary differential equations
A simple proof of the Lyapunov finite-time stability theorem
[Une démonstration simple du théorème de Lyapunov sur la stabilité en temps fini]

Présenté par : the Editorial Board

Oleg Makarenkov1
1 Department of Mathematical Sciences, University of Texas at Dallas, Richardson, TX 75080, USA
Comptes Rendus. Mathématique, Volume 355 (2017) no. 3, pp. 277-281.

On propose une démonstration simple du théorème de Lyapunov sur la stabilité en temps fini pour des systèmes de Filippov sans utilisation de dérivées généralisées pour dériver la composition d'une fonction de Lyapunov et d'une solution absolument continue.

We offer a simple proof of the Lyapunov finite-time stability theorem for Filippov systems which does not use any generalized derivatives to differentiate the composition of the Lyapunov function with absolutely continuous solutions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.02.003

Oleg Makarenkov 1

1 Department of Mathematical Sciences, University of Texas at Dallas, Richardson, TX 75080, USA 
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Oleg Makarenkov. A simple proof of the Lyapunov finite-time stability theorem. Comptes Rendus. Mathématique, Volume 355 (2017) no. 3, pp. 277-281. doi : 10.1016/j.crma.2017.02.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.02.003/

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