Stabilization of time delayed nonnegative polynomial systems through kinetic realization

Gyorgy Liptak, K. Hangos, G. Szederkényi

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 1 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

Fingerprint

Liapunov functions
Polynomial Systems
Lyapunov functions
State feedback
State Feedback
Lyapunov Function
polynomials
Stabilization
stabilization
Kinetics
Non-negative
Polynomials
Polynomial
Lyapunov-Krasovskii Functional
Semidefinite Programming
kinetics
Design Method
Weighting
programming
Graph in graph theory

ASJC Scopus subject areas

  • Instrumentation
  • Control and Optimization

Cite this

Liptak, G., Hangos, K., & Szederkényi, 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

Stabilization of time delayed nonnegative polynomial systems through kinetic realization. / Liptak, Gyorgy; Hangos, K.; Szederkényi, G.

2019 18th European Control Conference, ECC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. p. 3138-3143 8795606 (2019 18th European Control Conference, ECC 2019).

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

Liptak, G, Hangos, K & Szederkényi, G 2019, Stabilization of time delayed nonnegative polynomial systems through kinetic realization. in 2019 18th European Control Conference, ECC 2019., 8795606, 2019 18th European Control Conference, ECC 2019, Institute of Electrical and Electronics Engineers Inc., pp. 3138-3143, 18th European Control Conference, ECC 2019, Naples, Italy, 6/25/19. https://doi.org/10.23919/ECC.2019.8795606
Liptak G, Hangos K, Szederkényi G. Stabilization of time delayed nonnegative polynomial systems through kinetic realization. In 2019 18th European Control Conference, ECC 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 3138-3143. 8795606. (2019 18th European Control Conference, ECC 2019). https://doi.org/10.23919/ECC.2019.8795606
Liptak, Gyorgy ; Hangos, K. ; Szederkényi, G. / Stabilization of time delayed nonnegative polynomial systems through kinetic realization. 2019 18th European Control Conference, ECC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 3138-3143 (2019 18th European Control Conference, ECC 2019).
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