Local finite-time stability and stabilization analysis of interconnected systems

Naim Zoghlami 1 Lotfi Beji 1 Rhouma Mlayeh 2 Azgal Abichou 2
1 IBISC - Informatique, Biologie Intégrative et Systèmes Complexes
2 LIM - Laboratoire d'Ingénierie Mathématique
Abstract : Interconnection is omnipresent in a system through the state variables and induced for multi-system interaction and shared tasks. Typically, the example of multi-agent coordination was studied as an interconnected system. The paper deals with the finite-time stability problem of a general form of interconnection presented as a perturbation term. Sufficient conditions for finite-time stability are derived. A second interest is given to the interaction of multiple controlled autonomous systems, and where the multi-system control-input is established both for finite-time stabilization. As an example of application, the finite-time tracking problem of four unicycles is studied.
Keywords : Finite-time stability Homogeneity Interconnected nonlinear systems Lyapunov function
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Conference papers
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https://hal.archives-ouvertes.fr/hal-00880278
Contributor : Frédéric Davesne <>
Submitted on : Tuesday, November 5, 2013 - 4:49:35 PM
Last modification on : Monday, October 28, 2019 - 11:00:10 AM

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Naim Zoghlami, Lotfi Beji, Rhouma Mlayeh, Azgal Abichou. Local finite-time stability and stabilization analysis of interconnected systems. 9th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2013), Sep 2013, Toulouse, France. pp.803--808, ⟨10.3182/20130904-3-FR-2041.00158⟩. ⟨hal-00880278⟩

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