On the computation of Lyapunov functions for discrete–time nonlinear systems

R.V. Bobiti, M. Lazar

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7 Citations (Scopus)
7 Downloads (Pure)

Abstract

This paper considers the problem of computing a Lyapunov function for nonlinear discrete–time systems. The proposed solution is systematic and consists of two steps. First, a pseudo–Lyapunov function, called finite–step Lyapunov function, is computed by solving a finite dimensional nonlinear optimization problem. Then, a recent converse theorem is employed, which gives an explicit construction of a Lyapunov function from a finite–step Lyapunov function. This procedure produces additionally an invariant set, through a nonlinear optimization program. An example illustrates the developed procedure and gives insight into the problem complexity
Original languageEnglish
Title of host publicationProceedings of the 18th International Conference on System Theory, Control and Computing (ICSTCC) 17-19 October 2014, Sinaia, Romania
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages93-98
DOIs
Publication statusPublished - 2014
Event18th International Conference on System Theory, Control and Computing (ICSTCC 2014), October 17-19, 2014, Sinaia, Romania - Sinaia, Romania
Duration: 17 Oct 201419 Oct 2014

Conference

Conference18th International Conference on System Theory, Control and Computing (ICSTCC 2014), October 17-19, 2014, Sinaia, Romania
Abbreviated titleICSTCC 2014
CountryRomania
CitySinaia
Period17/10/1419/10/14

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  • Cite this

    Bobiti, R. V., & Lazar, M. (2014). On the computation of Lyapunov functions for discrete–time nonlinear systems. In Proceedings of the 18th International Conference on System Theory, Control and Computing (ICSTCC) 17-19 October 2014, Sinaia, Romania (pp. 93-98). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ICSTCC.2014.6982397