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Constructing Lyapunov-Krasovskii functionals for linear time delay systems
Proceedings of the 2005, American Control Conference, 2005.
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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 be used to construct parameter-dependent L-K
doi:10.1109/acc.2005.1470401
fatcat:m47mvyuufjgcph25okcf554moi