Asymptotical Feedback Stabilization and Controllability of Probabilistic Logic Networks With State-Dependent Constraints

被引：2
作者：
Dai, Chaoqun [1 ]
Guo, Yuqian [1 ]
机构：
[1] Cent South Univ, Sch Automat, Changsha 410083, Hunan, Peoples R China
来源：
IEEE ACCESS | 2022年 / 10卷
基金：
中国国家自然科学基金;
关键词：
Adaptive control; Controllability; Probabilistic logic; State feedback; Switches; Uncertainty; Probabilistic logic networks; semi-tensor product; state-dependent constraints; input transformation; asymptotical feedback stabilizability; asymptotical feedback controllability; BOOLEAN CONTROL NETWORKS; OBSERVABILITY; STABILITY;
D O I：
10.1109/ACCESS.2022.3194331
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This study investigates the asymptotical feedback set stabilization and asymptotical feedback controllability of probabilistic logic control networks (PLCNs) with state-dependent constraints. First, based on the properties of the semi-tensor product (STP) of matrices and the vector representation of logic, a PLCN with state-dependent constraints is expressed as the algebraic form. Second, using a state-dependent input transformation, a PLCN with state-dependent constraints is transformed into one with free control input. The equivalence between the stabilizability and controllability of the original constrained PLCN and those of the resulting PLCN with free input is established. Based on these, we propose the necessary and sufficient conditions for both asymptotical feedback stabilizability and asymptotical feedback controllability. Finally, two examples are presented to demonstrate the application of the obtained results.
引用
收藏
页码：80046 / 80054
页数：9
相关论文
共 45 条
[1]   Synchronization of Arbitrarily Switched Boolean Networks [J].
Chen, Hongwei ;
Liang, Jinling ;
Huang, Tingwen ;
Cao, Jinde .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2017, 28 (03) :612-619
[2]   Controllability of Boolean Networks via Mixed Controls [J].
Cheng, Daizhan ;
Li, Changxi ;
Zhang, Xiao ;
He, Fenghua .
IEEE CONTROL SYSTEMS LETTERS, 2018, 2 (02) :254-259
[3]   Modeling, Analysis and Control of Networked Evolutionary Games [J].
Cheng, Daizhan ;
He, Fenghua ;
Qi, Hongsheng ;
Xu, Tingting .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (09) :2402-2415
[4]   On finite potential games [J].
Cheng, Daizhan .
AUTOMATICA, 2014, 50 (07) :1793-1801
[5]   Stability and stabilization of Boolean networks [J].
Cheng, Daizhan ;
Qi, Hongsheng ;
Li, Zhiqiang ;
Liu, Jiang B. .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2011, 21 (02) :134-156
[6]   Disturbance Decoupling of Boolean Control Networks [J].
Cheng, Daizhan .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (01) :2-10
[7]   Controllability and observability of Boolean control networks [J].
Cheng, Daizhan ;
Qi, Hongsheng .
AUTOMATICA, 2009, 45 (07) :1659-1667
[8]  
Cheng DH, 2011, COMMUN CONTROL ENG, P1, DOI 10.1007/978-0-85729-097-7
[9]   Controllability of Boolean Control Networks With Multiple Time Delays [J].
Ding, Yong ;
Xie, Dian ;
Guo, Yuqian .
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2018, 5 (04) :1787-1795
[10]   Scalar equations for synchronous Boolean networks with biological applications [J].
Farrow, C ;
Heidel, J ;
Maloney, J ;
Rogers, J .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (02) :348-354
12345