Stabilization of time delayed nonnegative polynomial systems through kinetic realization

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

Abstract

A new stabilizing feedback design method is proposed in this paper for time delayed nonnegative polynomial systems with a linear input structure. Using a polynomial state feedback, the open loop system is transformed into a complex balanced kinetic system that is known to be stable with a known Lyapunov-Krasovskii functional. The computation problem is solved through semidefinite programming exploiting the fact that the reaction graph structure and weighting of a kinetic polynomial system are non-unique.

Original languageEnglish
Title of host publication2019 18th European Control Conference, ECC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3138-3143
Number of pages6
ISBN (Electronic)9783907144008
DOIs
Publication statusPublished - Jun 2019
Event18th European Control Conference, ECC 2019 - Naples, Italy
Duration: Jun 25 2019Jun 28 2019

Publication series

Name2019 18th European Control Conference, ECC 2019

Conference

Conference18th European Control Conference, ECC 2019
CountryItaly
CityNaples
Period6/25/196/28/19

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ASJC Scopus subject areas

  • Instrumentation
  • Control and Optimization

Cite this

Liptak, G., Hangos, K. M., & Szederkenyi, G. (2019). Stabilization of time delayed nonnegative polynomial systems through kinetic realization. In 2019 18th European Control Conference, ECC 2019 (pp. 3138-3143). [8795606] (2019 18th European Control Conference, ECC 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ECC.2019.8795606