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Constructing Lyapunov-Krasovskii functionals for linear time delay systems | IEEE Conference Publication | IEEE Xplore

Constructing Lyapunov-Krasovskii functionals for linear time delay systems


Abstract:

We present an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for linear time-delay systems, using the sum of squares decomposition of mult...Show More

Abstract:

We present an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for linear time-delay systems, using the sum of squares decomposition of multivariate polynomials to solve the related infinite dimensional linear matrix inequalities (LMIs). The resulting functionals retain the structure of the complete L-K functional and yield conditions that approach the true delay-dependent stability bounds. The method can also he used to construct parameter-dependent L-K functionals for certifying stability under parametric uncertainty.
Date of Conference: 08-10 June 2005
Date Added to IEEE Xplore: 01 August 2005
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Conference Location: Portland, OR, USA

References

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