On stability analysis methods for large-scale discrete-time systems

Rob Gielen, M. Lazar

Research output: Contribution to journalArticleAcademicpeer-review

16 Citations (Scopus)
18 Downloads (Pure)

Abstract

This paper proposes a set of Lyapunov-type conditions that are suited for stability analysis of large-scale discrete-time systems. A time-wise relaxation of the Lyapunov function decrease condition is employed to derive a set of global and distributed stability conditions. Essentially, these conditions allow to make a trade-off between complexity and conservatism by extending the time-horizon over which the decrease condition should hold. It is shown that for exponentially stable dynamics and any candidate Lyapunov function, there exists a finite time for which the proposed global or distributed stability conditions hold. Hence, it is possible to use functions with a particular structure to make verification of stability scalable for large-scale systems. The developed results are applied to establish stability of a benchmark power systems example.
Original languageEnglish
Pages (from-to)66-72
JournalAutomatica
Volume55
DOIs
Publication statusPublished - 2015

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