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Stability and Unstability Matrices for Linear Evolution Variational Inequalities

Abstract : This paper deals with the characterisation of the stability and unstability matrices for a class of unilaterally constrained dynamical systems, represente- d as linear evolution variational inequalities (LEVI). Such systems can also be seen as a sort of differential inclusion, or (in special cases) as linear complementarity systems, which in turn are a class of hybrid dynamical systems. Examples show that the stability of the unconstrained system and that of the constrained system, may drastically differ. Various criteria are proposed to characterize the stability or the instability of LEVI.
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Submitted on : Tuesday, May 23, 2006 - 6:53:10 PM
Last modification on : Thursday, January 20, 2022 - 4:18:07 PM
Long-term archiving on: : Sunday, April 4, 2010 - 10:39:32 PM

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  • HAL Id : inria-00071818, version 1

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Daniel Goeleven, Bernard Brogliato. Stability and Unstability Matrices for Linear Evolution Variational Inequalities. [Research Report] RR-4768, INRIA. 2003. ⟨inria-00071818⟩

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