Controllability for multi-agent systems with matrix-weight-based signed network

Abstract This study aims at the controllability of multi-agent systems (MASs) with cooperation and competition in a matrix-weight-based signed network based on the leader-follower structure from an algebra-theoretic perspective, which is a generalization of a scalar-weighted signed network due to increasing the dimension of controllable matrix and controllable subspace for such MASs. Therefore, comparing with existing results, relying on matrix coupling links, the study indicates that controllability can be attained in a structurally balanced matrix-weight-based network. Algebra-theoretic characterizations for attaining controllability are provided. Moreover, the algebraic uncontrollable conditions for such network are examined. Examples and simulations are given to illustrate the theoretical results.

[1]  R. Kálmán.  Mathematical description of linear dynamical systems , 1963 .

[2]  Zhijian Ji,et al.  Graph partitions and the controllability of directed signed networks , 2019, Science China Information Sciences.

[3]  Lin Wang,et al.  Towards Optimal Robustness of Network Controllability: An Empirical Necessary Condition , 2020, IEEE Transactions on Circuits and Systems I: Regular Papers.

[4]  Guoqiang Hu,et al.  Controllability of Multiagent Networks With Antagonistic Interactions , 2017, IEEE Transactions on Automatic Control.

[5]  Dewei Li,et al.  Bipartite Consensus on Matrix-Valued Weighted Networks , 2019, IEEE Transactions on Circuits and Systems II: Express Briefs.

[6]  F. Heider.  Attitudes and cognitive organization. , 1946, The Journal of psychology.

[7]  Junping Du,et al.  Finite-Time Consensus for Multiagent Systems With Cooperative and Antagonistic Interactions , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[8]  Song Jiang,et al.  Ensemble Prediction Algorithm of Anomaly Monitoring Based on Big Data Analysis Platform of Open-Pit Mine Slope , 2018, Complex..

[9]  Shengfu Lu,et al.  Method of Depression Classification Based on Behavioral and Physiological Signals of Eye Movement , 2020, Complex..

[10]  Harry L. Trentelman,et al.  Control theory for linear systems , 2002 .

[11]  Long Wang,et al.  Controllability of Switching Signed Networks , 2020, IEEE Transactions on Circuits and Systems II: Express Briefs.

[12]  Mehran Mesbahi,et al.  On symmetry and controllability of multi-agent systems , 2014, 53rd IEEE Conference on Decision and Control.

[13]  Claudio Altafini,et al.  Consensus Problems on Networks With Antagonistic Interactions , 2013, IEEE Transactions on Automatic Control.

[14]  Long Wang,et al.  Controllability of multi-agent systems with directed and weighted signed networks , 2018, Syst. Control. Lett..

[15]  Yuanqing Xia,et al.  Structural Controllability of Undirected Diffusive Networks With Vector-Weighted Edges , 2020, IEEE Control Systems Letters.

[16]  Guangming Xie,et al.  Controllability of a Leader–Follower Dynamic Network With Switching Topology , 2008, IEEE Transactions on Automatic Control.

[17]  Sezai Emre Tuna,et al.  Synchronization under matrix-weighted Laplacian , 2014, Autom..

[18]  Xiang Li,et al.  Controllability of Deep-Coupling Dynamical Networks , 2020, IEEE Transactions on Circuits and Systems I: Regular Papers.

[19]  H.G. Tanner,et al.  On the controllability of nearest neighbor interconnections , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[20]  Alexey S. Matveev,et al.  Opinion Dynamics in Social Networks With Hostile Camps: Consensus vs. Polarization , 2015, IEEE Transactions on Automatic Control.

[21]  Rong Li,et al.  Switching controllability of discrete-time multi-agent systems with multiple leaders and time-delays , 2014, Appl. Math. Comput..

[22]  Hal L. Smith,et al.  Monotone Dynamical Systems: An Introduction To The Theory Of Competitive And Cooperative Systems (Mathematical Surveys And Monographs) By Hal L. Smith , 1995 .

[23]  Zhijian Ji,et al.  Bipartite Consensus of Heterogeneous Multiagent Systems Based on Distributed Event-Triggered Control , 2020, Complex..

[24]  S. Emre Tuna,et al.  Observability Through a Matrix-Weighted Graph , 2016, IEEE Transactions on Automatic Control.

[25]  Bo Liu,et al.  Second-order controllability of two-time-scale multi-agent systems , 2019, Appl. Math. Comput..

[26]  Engang Tian,et al.  Input-output finite-time stability for networked control systems with memory event-triggered scheme , 2019, J. Frankl. Inst..

[27]  Engang Tian,et al.  An improved memory-event-triggered control for networked control systems , 2019, J. Frankl. Inst..

[28]  Shaocheng Tong,et al.  Observer-Based Adaptive Fuzzy Tracking Control for Strict-Feedback Nonlinear Systems With Unknown Control Gain Functions , 2020, IEEE Transactions on Cybernetics.

[29]  Zhihai Rong,et al.  The Bipartite Consensus for Multi-Agent Systems With Matrix-Weight-Based Signed Network , 2020, IEEE Transactions on Circuits and Systems II: Express Briefs.

[30]  Yongming Li,et al.  Observer-Based Fuzzy Adaptive Finite-Time Containment Control of Nonlinear Multiagent Systems With Input Delay , 2020, IEEE Transactions on Cybernetics.

[31]  Dong Yue,et al.  Resilient control of networked control systems under deception attacks: A memory‐event‐triggered communication scheme , 2019, International Journal of Robust and Nonlinear Control.

[32]  K. Brown,et al.  Graduate Texts in Mathematics , 1982 .

[33]  Haisheng Yu,et al.  Decentralized stabilizability and formation control of multi-agent systems with antagonistic interactions. , 2019, ISA transactions.

[34]  Chau Ton,et al.  Controllability Ensured Leader Group Selection on Signed Multiagent Networks , 2020, IEEE Transactions on Cybernetics.

[35]  Young-Hun Lim,et al.  Matrix-weighted consensus and its applications , 2018, Autom..

[36]  Xiaona Song,et al.  Extended dissipative synchronization for semi-Markov jump complex dynamic networks via memory sampled-data control scheme , 2020, J. Frankl. Inst..

[37]  Chong Lin,et al.  Fast Consensus Seeking on Networks with Antagonistic Interactions , 2018, Complex..

[38]  Housheng Su,et al.  Consensus of Delayed Fractional-Order Multiagent Systems With Intermittent Sampled Data , 2020, IEEE Transactions on Industrial Informatics.

[39]  Xiaona Song,et al.  Network-based passive estimation for switched complex dynamical networks under persistent dwell-time with limited signals , 2020, J. Frankl. Inst..