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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 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 function...

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Publication status:
Published

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Publisher copy:
10.1109/ACC.2005.1470401

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Institution:
University of Oxford
Department:
Oxford, MPLS, Engineering Science
Volume:
4
Pages:
2845-2850
Publication date:
2005
DOI:
ISSN:
0743-1619
URN:
uuid:52de22b2-0974-494a-8aba-89addb368f44
Source identifiers:
64600
Local pid:
pubs:64600
ISBN:
0-7803-9098-9

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