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International Journal of Control Volume 81, 2008 - Issue 5
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Original Articles

Finite time stability conditions for non-autonomous continuous systems

E. Moulay IRCCyN (UMR-CNRS 6597), 1 rue de la Noë, BP 92 101, 44321 Nantes Cedex 03, FranceCorrespondence[email protected]
&
W. Perruquetti LAGIS (UMR-CNRS 8146), Ecole centrale de Lille, Cité Scientifique, 59651 Villeneuve d’Ascq Cedex, France
Pages 797-803 | Received 21 Jun 2004, Accepted 18 Nov 2006, Published online: 08 Apr 2008
 
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Abstract

Finite time stability is defined for continuous non-autonomous systems. Starting with a result from Haimo (Citation1986) we then extend this result to n-dimensional non-autonomous systems through the use of smooth and non-smooth Lyapunov functions as in Perruquetti and Drakunov (Citation2000). One obtains two different sufficient conditions and a necessary one for finite time stability of continuous non-autonomous systems.

Acknowledgement

The authors thank the referees for careful reading and helpful suggestions on the improvement of the manuscript.

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