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Journal Articles IEEE Transactions on Automatic Control Year : 2013

Stability analysis of sampled-data systems using Sum of Squares

Abstract

This article proposes a new approach to stability analysis of linear systems with sampled-data inputs or channels. The method, based on a variation of the discrete-time Lyapunov approach, provides stability conditions using functional variables subject to convex constraints. These stability conditions can be solved using the sum of squares methodology with little or no conservatism in both the case of synchronous and asynchronous sampling. Numerical examples are included to show convergence.

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Automatic
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Dates and versions

hal-00753538 , version 1 (19-11-2012)

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Alexandre Seuret, Matthew M. Peet. Stability analysis of sampled-data systems using Sum of Squares. IEEE Transactions on Automatic Control, 2013, 58 (6), pp.1620-1625. ⟨10.1109/TAC.2012.2232378⟩. ⟨hal-00753538⟩
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