Constructing Lyapunov-Krasovskii functionals for linear time delay systems

Antonis Papachristodoulou, Matthew Peet, Sanjay Lall

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

26 Citations (Scopus)

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 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
Pages2845-2850
Number of pages6
Volume4
StatePublished - 2005
Externally publishedYes
Event2005 American Control Conference, ACC - Portland, OR, United States
Duration: Jun 8 2005Jun 10 2005

Other

Other2005 American Control Conference, ACC
CountryUnited States
CityPortland, OR
Period6/8/056/10/05

Fingerprint

Time delay
Linear matrix inequalities
Polynomials
Decomposition
Uncertainty

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Papachristodoulou, A., Peet, M., & Lall, S. (2005). Constructing Lyapunov-Krasovskii functionals for linear time delay systems. In Proceedings of the American Control Conference (Vol. 4, pp. 2845-2850)

Constructing Lyapunov-Krasovskii functionals for linear time delay systems. / Papachristodoulou, Antonis; Peet, Matthew; Lall, Sanjay.

Proceedings of the American Control Conference. Vol. 4 2005. p. 2845-2850.

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

Papachristodoulou, A, Peet, M & Lall, S 2005, Constructing Lyapunov-Krasovskii functionals for linear time delay systems. in Proceedings of the American Control Conference. vol. 4, pp. 2845-2850, 2005 American Control Conference, ACC, Portland, OR, United States, 6/8/05.
Papachristodoulou A, Peet M, Lall S. Constructing Lyapunov-Krasovskii functionals for linear time delay systems. In Proceedings of the American Control Conference. Vol. 4. 2005. p. 2845-2850
Papachristodoulou, Antonis ; Peet, Matthew ; Lall, Sanjay. / Constructing Lyapunov-Krasovskii functionals for linear time delay systems. Proceedings of the American Control Conference. Vol. 4 2005. pp. 2845-2850
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