Deakin University
Browse

State estimation for genetic regulatory networks with mode-dependent leakage delays, time-varying delays, and Markovian jumping parameters

Version 2 2024-06-13, 09:17
Version 1 2015-08-27, 15:05
journal contribution
posted on 2024-06-13, 09:17 authored by TH Lee, L Shanmugam, JH Park, P Balasubramaniam
This paper considers the state estimation problem for Markovian jumping genetic regulatory networks (GRNs) with mode-dependent leakage and time-varying delays. In order to approximate the true concentrations of the mRNA and protein, the state estimator is designed using available measurement outputs. The GRNs are composed of N modes. The system switches from one mode to another according to a Markovian chain with known transition probabilities. Based on the Lyapunov functionals, including triple integral terms, some inequalities, and a time-varying delay partitioning approach, delay-dependent criteria which employ all upper bounds of time delays of each mode are obtained in terms of linear matrix inequalities (LMIs). This guarantees that the estimation error dynamics can be globally asymptotically stable from solutions of LMIs. Finally, a numerical example is presented to demonstrate the efficiency of the proposed estimation scheme.

History

Journal

IEEE transactions on nanobioscience

Volume

12

Pagination

363-375

Location

Piscataway, N.J.

ISSN

1536-1241

eISSN

1558-2639

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

2014, IEEE

Issue

4

Publisher

IEEE