Synchronization of drive-response Boolean control networks with impulsive disturbances

Abstract In this paper, we focus on the topic of synchronization of Boolean control networks (BCNs) with drive-response structure with impulsive disturbances. By transforming BCNs with impulsive disturbances into its algebraic expression, free control sequence for synchronization of BCNs with impulsive disturbances is designed. Besides, some necessary and sufficient conditions are derived for synchronization of BCNs with impulsive disturbances under feedback control. Moreover, an algorithm is given to design feedback controllers. Lastly, one example is used to better illustrate the derived results.

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

[2]  Yang Liu,et al.  Static output feedback set stabilization for context-sensitive probabilistic Boolean control networks , 2018, Appl. Math. Comput..

[3]  Shouming Zhong,et al.  New approach on designing stochastic sampled-data controller for exponential synchronization of chaotic Lur’e systems , 2018, Nonlinear Analysis: Hybrid Systems.

[4]  Yuzhen Wang,et al.  Output tracking of switched Boolean networks under open-loop/closed-loop switching signals☆ , 2016 .

[5]  Michal Linial,et al.  Using Bayesian Networks to Analyze Expression Data , 2000, J. Comput. Biol..

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

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

[8]  Daizhan Cheng,et al.  Disturbance Decoupling of Boolean Control Networks , 2011, IEEE Transactions on Automatic Control.

[9]  Hamid Reza Karimi,et al.  A Flexible Terminal Approach to Sampled-Data Exponentially Synchronization of Markovian Neural Networks With Time-Varying Delayed Signals , 2018, IEEE Transactions on Cybernetics.

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

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

[12]  Yang Liu,et al.  Nonsingularity of Grain-like cascade FSRs via semi-tensor product , 2017, Science China Information Sciences.

[13]  Yang Liu,et al.  Event-triggered control for the synchronization of Boolean control networks , 2019, Nonlinear Dynamics.

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

[15]  Bowen Li,et al.  Robust Invariant Set Analysis of Boolean Networks , 2019, Complex..

[16]  Fuad E. Alsaadi,et al.  Finite-Time Synchronization of Networks via Quantized Intermittent Pinning Control , 2018, IEEE Transactions on Cybernetics.

[17]  Yang Liu,et al.  Controllability of Boolean control networks with impulsive effects and forbidden states , 2014 .

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

[19]  Yang Liu,et al.  The equivalence issue of two kinds of controllers in Boolean control networks , 2018, Appl. Math. Comput..

[20]  Ze Tang,et al.  Parameters Variation-Based Synchronization on Derivative Coupled Lur’e Networks , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[21]  Yang Liu,et al.  Survey on semi-tensor product method with its applications in logical networks and other finite-valued systems , 2017 .

[22]  Bo Gao,et al.  State analysis of Boolean control networks with impulsive and uncertain disturbances , 2017, Appl. Math. Comput..

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

[24]  Jinde Cao,et al.  On the ensemble controllability of Boolean control networks using STP method , 2019, Appl. Math. Comput..

[25]  Jinde Cao,et al.  On the Optimal Control of Boolean Control Networks , 2018, SIAM J. Control. Optim..

[26]  Yuanyuan Li,et al.  Impulsive Synchronization of Stochastic Neural Networks via Controlling Partial States , 2017, Neural Processing Letters.

[27]  Daizhan Cheng,et al.  A Linear Representation of Dynamics of Boolean Networks , 2010, IEEE Transactions on Automatic Control.

[28]  Jitao Sun,et al.  Global stability and stabilization of switched Boolean network with impulsive effects , 2013, Appl. Math. Comput..

[29]  Hidde de Jong,et al.  Modeling and Simulation of Genetic Regulatory Systems: A Literature Review , 2002, J. Comput. Biol..

[30]  Jing Wang,et al.  synchronization for singularly perturbed complex networks with semi-Markov jump topology , 2018, Appl. Math. Comput..

[31]  Fangfei Li,et al.  Stability and stabilization of Boolean networks with impulsive effects , 2012, Syst. Control. Lett..

[32]  Ju H. Park,et al.  Pinning Event-Triggered Sampling Control for Synchronization of T–S Fuzzy Complex Networks With Partial and Discrete-Time Couplings , 2019, IEEE Transactions on Fuzzy Systems.

[33]  Jinde Cao,et al.  Synchronization of master-slave Boolean networks with impulsive effects: Necessary and sufficient criteria , 2014, Neurocomputing.

[34]  Jinde Cao,et al.  Delayed Feedback Control for Stabilization of Boolean Control Networks With State Delay , 2018, IEEE Transactions on Neural Networks and Learning Systems.

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

[36]  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.

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

[38]  Jinde Cao,et al.  Stabilization of Boolean Control Networks Under Aperiodic Sampled-Data Control , 2018, SIAM J. Control. Optim..

[39]  Ju H. Park,et al.  Distributed Impulsive Quasi-Synchronization of Lur’e Networks With Proportional Delay , 2019, IEEE Transactions on Cybernetics.

[40]  Shouming Zhong,et al.  Quantized Sampled-Data Control for Synchronization of Inertial Neural Networks With Heterogeneous Time-Varying Delays , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[41]  Tonghua Zhang,et al.  Bifurcation analysis of a mathematical model for genetic regulatory network with time delays , 2015, Appl. Math. Comput..

[42]  Tingwen Huang,et al.  Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays , 2019, Appl. Math. Comput..

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

[44]  Tianguang Chu,et al.  Complete Synchronization of Boolean Networks , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[45]  Jinde Cao,et al.  On Pinning Controllability of Boolean Control Networks , 2016, IEEE Transactions on Automatic Control.

[46]  Jinde Cao,et al.  Finite-Time Control of Multiple Different-Order Chaotic Systems with Two Network Synchronization Modes , 2018, Circuits Syst. Signal Process..

[47]  Bowen Li,et al.  The Outputs Robustness of Boolean Control Networks via Pinning Control , 2020, IEEE Transactions on Control of Network Systems.

[48]  Zhen Wang,et al.  Event-Triggered Control for the Stabilization of Probabilistic Boolean Control Networks , 2018, Complex..

[49]  Yang Liu,et al.  Robust Control Invariance of Probabilistic Boolean Control Networks via Event-Triggered Control , 2018, IEEE Access.

[50]  Jing Wang,et al.  Mixed H∞ /passive sampled-data synchronization control of complex dynamical networks with distributed coupling delay , 2017, J. Frankl. Inst..