Stabilizing kinetic feedback design using semidefinite programming

György Lipták, János Rudan, K. Hangos, G. Szederkényi

Research output: Contribution to journalArticle

2 Citations (Scopus)


A novel state feedback design method is proposed in this paper for the stabilization of polynomial systems with linear input structure. Using a static nonlinear feedback, the open loop system is transformed to a complex balanced kinetic closed loop system with stoichiometric subspace having maximum dimension, that is known to be stable. The feedback law is computed using semidefinite programming where the objective function is used to adjust the performance of the closed-loop system by tuning the largest eigenvalue of the state matrix of the linearized closed-loop system. The approach is illustrated on a purely computational example followed by a simple process system example.

Original languageEnglish
Pages (from-to)12-17
Number of pages6
Issue number24
Publication statusPublished - 2016


  • chemical reaction networks
  • feedback design
  • feedback equivalence
  • kinetic systems
  • non-negative systems
  • optimization

ASJC Scopus subject areas

  • Control and Systems Engineering

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