Regular Papers

International Journal of Control, Automation and Systems 2021; 19(5): 1819-1827

Published online March 30, 2021

https://doi.org/10.1007/s12555-020-0204-4

© The International Journal of Control, Automation, and Systems

Time-variant Feedback Stabilization of Constrained Delayed Boolean Networks Under Nonuniform Sampled-data Control

Xiangshan Kong and Haitao Li*

Shandong Normal University

Abstract

This paper investigates the time-variant state feedback stabilization of constrained delayed Boolean control networks under nonuniform sampled-data control. Firstly, using the augmented algebraic form of constrained delayed Boolean control networks, the constrained nonuniform sampled-data controllability matrix is constructed. Secondly, based on the controllability matrix, a necessary and sufficient condition is proposed for the nonuniform sampled-data reachability of constrained delayed Boolean control networks. Thirdly, by virtue of the nonuniform sampled-data reachability, a new procedure is established to design time-variant state feedback sampled-data stabilizers via reachable set approach. The obtained results are applied to the cell survival regulation of apoptosis networks.

Keywords Boolean network, sampled-data control, semi-tensor product of matrices, stabilization, time delay.

Article

Regular Papers

International Journal of Control, Automation and Systems 2021; 19(5): 1819-1827

Published online May 1, 2021 https://doi.org/10.1007/s12555-020-0204-4

Copyright © The International Journal of Control, Automation, and Systems.

Time-variant Feedback Stabilization of Constrained Delayed Boolean Networks Under Nonuniform Sampled-data Control

Xiangshan Kong and Haitao Li*

Shandong Normal University

Abstract

This paper investigates the time-variant state feedback stabilization of constrained delayed Boolean control networks under nonuniform sampled-data control. Firstly, using the augmented algebraic form of constrained delayed Boolean control networks, the constrained nonuniform sampled-data controllability matrix is constructed. Secondly, based on the controllability matrix, a necessary and sufficient condition is proposed for the nonuniform sampled-data reachability of constrained delayed Boolean control networks. Thirdly, by virtue of the nonuniform sampled-data reachability, a new procedure is established to design time-variant state feedback sampled-data stabilizers via reachable set approach. The obtained results are applied to the cell survival regulation of apoptosis networks.

Keywords: Boolean network, sampled-data control, semi-tensor product of matrices, stabilization, time delay.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

Stats or Metrics

Share this article on

  • line

Related articles in IJCAS

IJCAS

eISSN 2005-4092
pISSN 1598-6446