Constructing Lyapunov-Krasovskii functionals for linear time delay systems

Antonis Papachristodoulou, Matthew Peet, Sanjay Lall

Research output: Chapter in Book/Report/Conference proceedingConference contribution

32 Scopus citations


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 functionals for certifying stability under parametric uncertainty.

Original languageEnglish (US)
Title of host publicationProceedings of the American Control Conference
Number of pages6
StatePublished - 2005
Externally publishedYes
Event2005 American Control Conference, ACC - Portland, OR, United States
Duration: Jun 8 2005Jun 10 2005


Other2005 American Control Conference, ACC
Country/TerritoryUnited States
CityPortland, OR

ASJC Scopus subject areas

  • Control and Systems Engineering


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