Event-Triggered Sampled Feedback Synchronization in an Array of Output-Coupled Boolean Control Networks

In this article, synchronization problem in an array of output-coupled Boolean control networks (BCNs) is studied by using event-triggered sampled feedback control. Algebraic forms of an array of output-coupled BCNs are presented via the semitensor product (STP) of matrices. Based on the algebraic forms, a necessary and sufficient condition is obtained for the synchronization of an array of output-coupled BCNs. Furthermore, an algorithm is proposed to design event-triggered sampled feedback controllers. Finally, the obtained results are well illustrated by numerical examples.

[1]  D. Cheng,et al.  Analysis and control of Boolean networks: A semi-tensor product approach , 2010, 2009 7th Asian Control Conference.

[2]  Jinde Cao,et al.  On Controllability of Delayed Boolean Control Networks , 2016, SIAM J. Control. Optim..

[3]  Jiandong Zhu,et al.  Kalman decomposition for Boolean control networks , 2015, Autom..

[4]  Jianquan Lu,et al.  Asymptotical Stability of Probabilistic Boolean Networks With State Delays , 2020, IEEE Transactions on Automatic Control.

[5]  K. Åström,et al.  Comparison of Periodic and Event Based Sampling for First-Order Stochastic Systems , 1999 .

[6]  Biao Wang,et al.  Input observability of Boolean control networks , 2019, Neurocomputing.

[7]  Jitao Sun,et al.  Stabilization, Controllability and Optimal Control of Boolean Networks With Impulsive Effects and State Constraints , 2015, IEEE Transactions on Automatic Control.

[8]  Daizhan Cheng,et al.  Controllability and observability of Boolean control networks , 2009, Autom..

[9]  Gang Feng,et al.  Stability and $l_1$ Gain Analysis of Boolean Networks With Markovian Jump Parameters , 2017, IEEE Transactions on Automatic Control.

[10]  Yuzhen Wang,et al.  Output feedback stabilization control design for Boolean control networks , 2013, Autom..

[11]  Yang Liu,et al.  Feedback Controller Design for the Synchronization of Boolean Control Networks , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[12]  Daniel W. C. Ho,et al.  Event-based network consensus with communication delays , 2016, Nonlinear Dynamics.

[13]  Yang Liu,et al.  Event-Triggered Control for the Disturbance Decoupling Problem of Boolean Control Networks , 2018, IEEE Transactions on Cybernetics.

[14]  Jinde Cao,et al.  Synchronization in an Array of Output-Coupled Boolean Networks With Time Delay , 2014, IEEE Transactions on Neural Networks and Learning Systems.

[15]  Fangfei Li,et al.  Pinning Control Design for the Synchronization of Two Coupled Boolean Networks , 2016, IEEE Transactions on Circuits and Systems II: Express Briefs.

[16]  Hongwei Chen,et al.  Partial Synchronization of Interconnected Boolean Networks , 2017, IEEE Transactions on Cybernetics.

[17]  Marek Miskowicz,et al.  Asymptotic Effectiveness of the Event-Based Sampling according to the Integral Criterion , 2007, Sensors (Basel, Switzerland).

[18]  Daizhan Cheng,et al.  Block Decoupling of Boolean Control Networks , 2019, IEEE Transactions on Automatic Control.

[19]  Yuzhen Wang,et al.  Further results on feedback stabilization control design of Boolean control networks , 2017, Autom..

[20]  Yong Ding,et al.  Invariant Subset and Set Stability of Boolean Networks Under Arbitrary Switching Signals , 2017, IEEE Transactions on Automatic Control.

[21]  Jianquan Lu,et al.  Synchronization of drive-response Boolean control networks with impulsive disturbances , 2020, Appl. Math. Comput..

[22]  S. Kauffman.  Metabolic stability and epigenesis in randomly constructed genetic nets. , 1969, Journal of theoretical biology.

[23]  Yang Liu,et al.  Set Stability and Stabilization of Switched Boolean Networks With State-Based Switching , 2018, IEEE Access.

[24]  Lihua Xie,et al.  An input-based triggering approach to leader-following problems , 2017, Autom..

[25]  Daizhan Cheng,et al.  Modeling, Analysis and Control of Networked Evolutionary Games , 2015, IEEE Transactions on Automatic Control.

[26]  Jianquan Lu,et al.  Output Tracking of Boolean Control Networks Driven by Constant Reference Signal , 2019, IEEE Access.

[27]  Fuad E. Alsaadi,et al.  Synchronization of dynamical networks with nonlinearly coupling function under hybrid pinning impulsive controllers , 2018, J. Frankl. Inst..

[28]  Jinde Cao,et al.  Further Results on the Controllability of Boolean Control Networks , 2019, IEEE Transactions on Automatic Control.

[29]  Weiwei Sun,et al.  Event-triggered control for robust set stabilization of logical control networks , 2018, Autom..

[30]  Wei Xing Zheng,et al.  Output Feedback Control for Set Stabilization of Boolean Control Networks , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[31]  Daizhan Cheng,et al.  Analysis and Control of Boolean Networks , 2011 .

[32]  D. Cheng,et al.  An Introduction to Semi-Tensor Product of Matrices and Its Applications , 2012 .

[33]  Zidong Wang,et al.  Synchronization of Coupled Neutral-Type Neural Networks With Jumping-Mode-Dependent Discrete and Unbounded Distributed Delays , 2013, IEEE Transactions on Cybernetics.

[34]  Jinde Cao,et al.  The transformation between the Galois NLFSRs and the Fibonacci NLFSRs via semi-tensor product of matrices , 2018, Autom..

[35]  Lihua Xie,et al.  Finite automata approach to observability of switched Boolean control networks , 2016 .

[36]  Jinde Cao,et al.  Sampled-Data Control for the Synchronization of Boolean Control Networks , 2019, IEEE Transactions on Cybernetics.

[37]  Michael Margaliot,et al.  On Boolean control networks with maximal topological entropy , 2014, Autom..

[38]  Yuzhen Wang,et al.  Lyapunov-Based Stability and Construction of Lyapunov Functions for Boolean Networks , 2017, SIAM J. Control. Optim..

[39]  Yansheng Liu,et al.  Stabilization and set stabilization of delayed Boolean control networks based on trajectory stabilization , 2017, J. Frankl. Inst..

[40]  Tingwen Huang,et al.  Controllability and Synchronization Analysis of Identical-Hierarchy Mixed-Valued Logical Control Networks , 2017, IEEE Transactions on Cybernetics.