The set stabilization problem for Markovian jump Boolean control networks: An average optimal control approach

Zhu, Sanmei; Feng, Jun‐e

doi:10.1016/j.amc.2021.126133

Cited by 8 publications

(1 citation statement)

References 36 publications

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“…In other words, we can use some standard mathematical tools in linear state-space models and facilitate exploring BNs and BCNs within the control theory framework. Consequently, many fundamental and important results about BNs and BCNs have emerged, such as controllability and observability [7][8][9][10], optimal control [11][12][13], pinning control [14][15][16], stability and stabilization [13,[17][18][19], tracking control [20][21][22], disturbance decoupling [23], and so on.…”

Section: Introductionmentioning

confidence: 99%

Bisimulations for delayed switched Boolean control networks and its application in controllability

Deng

Guo

et al. 2023

IET Control Theory & Appl

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This paper investigates bisimulation relations of delayed switched Boolean control networks (DSBCNs), using the semi‐tensor product (STP) approach. Firstly, the notion of bisimulation in DSBCNs is formalized. Subsequently, based on the skeleton matrix of DSBCN, two necessary and sufficient conditions are derived for checking this notion. Moreover, as an application of bisimulation relations, this paper explores the propagation of controllability for DSBCNs through a bisimulation relation. It shows the possibility that the controllability of a DSBCN can be inferred by studying a potentially simpler DSBCN. At last, two examples are proposed to illustrate the efficiency of the obtained results.

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