State feedback stabilization for probabilistic Boolean networks

Structural stability analysis of gene regulatory networks modeled by Boolean networks

“…Especially, in the 2000s, an algebraic state space representation method was proposed by Cheng based on the semitensor product of matrices (STP) . It is worth noting that this method has been successfully applied to the analysis and control of BNs, and many essential results have been obtained on topological structure, controllability and observability, control design, and so on. Please refer to Li et al and Lu et al for some comprehensive surveys on STP and its applications.…”

A matrix approach to modeling and optimization for dynamic games with random entrance

“…It is worth noting that this method has been successfully applied to the analysis and control of Boolean networks and mix-valued logical networks, and many essential results have been obtained, such as, the calculation of fixed points and cycles, and the controllability and observability of Boolean networks, see [17][18][19][20][21][22][23] for details. In addition, the STP method has reached some meaningful conclusions on probabilistic logical networks, such as [24][25][26][27][28][29][30][31][32][33] . Furthermore, it is noted that the STP tool has been used in the investigation of game theory [34,35] .…”

A survey on applications of semi-tensor product method in engineering

“…Using STP method, an algebraic state space representation approach is established for logical dynamic systems [9][10][11]. In the last decade, many excellent results have been proposed for the analysis and control of logical dynamic systems based on the algebraic state space representation approach, which include stability [12][13][14][15][16][17][18][19][20][21][22][23], controllability , observability [45][46][47][48][49][50][51][52][53], stabilization [54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69], synchronization [70][71][72][73][74][75][76][77]…”