Consensus control of stochastic multi-agent systems: a survey

In this article, we provide a review of the consensus control problem for stochastic multi-agent systems (MASs). Recent advances are surveyed according to the method of occurrence of the stochasticity of the MASs. First, the consensus problem is discussed for MASs, wherein individual agents are corrupted by random noises, i.e., the dynamics of agents involve stochasticity in process and/or measurement equations. Both additive noises and multiplicative noises are surveyed in detail and special attention is paid to the MASs whose dynamics are governed by Itô differential equations. Moreover, particular effort is devoted to presenting the latest progress on the consensus problem for a special type of stochastic MAS with Markovian jump parameters. Subsequently, the relevant research is summarized for MASs with noisy communication environments and stochastic sampling. Further, we provide a systematic review of the consensus problems for MASs whose communication topology varies randomly in the process of data propagation among agents. Finally, conclusions are drawn and several potential future research directions are outlined.

[1]  Huijun Gao,et al.  Event-Based $H_{\infty}$ Filter Design for a Class of Nonlinear Time-Varying Systems With Fading Channels and Multiplicative Noises , 2015, IEEE Transactions on Signal Processing.

[2]  H. Robbins.  A Stochastic Approximation Method , 1951 .

[3]  Lei Zou,et al.  Set-membership filtering for time-varying systems with mixed time-delays under Round-Robin and Weighted Try-Once-Discard protocols , 2016, Autom..

[4]  Yang Tang,et al.  Consensus Analysis of Second-Order Multi-Agent Networks With Sampled Data and Packet Losses , 2016, IEEE Access.

[5]  Qing-Long Han,et al.  Distributed sampled-data asynchronous H∞ filtering of Markovian jump linear systems over sensor networks , 2016, Signal Process..

[6]  Hak-Keung Lam,et al.  Event-Triggered Mean-Square Consensus Control for Time-Varying Stochastic Multi-Agent System With Sensor Saturations , 2017, IEEE Transactions on Automatic Control.

[7]  Yurong Liu,et al.  H ∞ control for a class of multi-agent systems via a stochastic sampled-data method , 2015 .

[8]  João Yoshiyuki Ishihara,et al.  Robust Estimation for Discrete-Time Markovian Jump Linear Systems , 2013, IEEE Transactions on Automatic Control.

[9]  James C. Spall,et al.  Introduction to stochastic search and optimization - estimation, simulation, and control , 2003, Wiley-Interscience series in discrete mathematics and optimization.

[10]  Marios M. Polycarpou,et al.  Cooperative Constrained Control of Distributed Agents With Nonlinear Dynamics and Delayed Information Exchange: A Stabilizing Receding-Horizon Approach , 2008, IEEE Transactions on Automatic Control.

[11]  Qing-Long Han,et al.  Cooperative Control of Mobile Sensor Networks for Environmental Monitoring: An Event-Triggered Finite-Time Control Scheme , 2017, IEEE Transactions on Cybernetics.

[12]  Qing-Long Han,et al.  Variance-Constrained Distributed Filtering for Time-Varying Systems With Multiplicative Noises and Deception Attacks Over Sensor Networks , 2017, IEEE Sensors Journal.

[13]  Qing-Long Han,et al.  Distributed Formation Control of Networked Multi-Agent Systems Using a Dynamic Event-Triggered Communication Mechanism , 2017, IEEE Transactions on Industrial Electronics.

[14]  B. Hassibi,et al.  A sub-optimal algorithm to synthesize control laws for a network of dynamic agents , 2005 .

[15]  R. Olfati-Saber.  Ultrafast consensus in small-world networks , 2005, Proceedings of the 2005, American Control Conference, 2005..

[16]  Hui Yu,et al.  Output consensus of multi-agent systems with delayed and sampled-data , 2017 .

[17]  Cuiqin Ma,et al.  Bipartite consensus on networks of agents with antagonistic interactions and measurement noises , 2016 .

[18]  Huijun Gao,et al.  Fault Detection for Markovian Jump Systems With Sensor Saturations and Randomly Varying Nonlinearities , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[19]  Yingmin Jia,et al.  Finite-time consensus for second-order stochastic multi-agent systems with nonlinear dynamics , 2015, Appl. Math. Comput..

[20]  Jinde Cao,et al.  Leader-Following Consensus of Nonlinear Multiagent Systems With Stochastic Sampling , 2017, IEEE Transactions on Cybernetics.

[21]  Yilun Shang,et al.  Couple-group consensus of continuous-time multi-agent systems under Markovian switching topologies , 2015, J. Frankl. Inst..

[22]  Xinzhi Liu,et al.  Stochastic consensus seeking with communication delays , 2011, Autom..

[23]  Alexander L. Fradkov,et al.  Approximate consensus in multi-agent nonlinear stochastic systems , 2014, 2014 European Control Conference (ECC).

[24]  Hilbert J. Kappen,et al.  Graphical Model Inference in Optimal Control of Stochastic Multi-Agent Systems , 2008, J. Artif. Intell. Res..

[25]  I. Masubuchi,et al.  Time Averaging Algorithms with Stopping Rules for Multi‐Agent Consensus with Noisy Measurements , 2016 .

[26]  Qing-Long Han,et al.  An Overview and Deep Investigation on Sampled-Data-Based Event-Triggered Control and Filtering for Networked Systems , 2017, IEEE Transactions on Industrial Informatics.

[27]  Valery A. Ugrinovskii,et al.  Distributed robust estimation over randomly switching networks using H∞ consensus , 2015, Autom..

[28]  Khashayar Khorasani,et al.  Fault Detection and Isolation of discrete-time Markovian jump linear systems with application to a network of multi-agent systems having imperfect communication channels , 2009, Autom..

[29]  YangQuan Chen,et al.  High-Order Consensus Algorithms in Cooperative Vehicle Systems , 2006, 2006 IEEE International Conference on Networking, Sensing and Control.

[30]  Fuad E. Alsaadi,et al.  An Integrated Approach to Global Synchronization and State Estimation for Nonlinear Singularly Perturbed Complex Networks , 2015, IEEE Transactions on Cybernetics.

[31]  Dongya Zhao,et al.  Stochastic averaging approach to leader-following consensus of linear multi-agent systems , 2016, J. Frankl. Inst..

[32]  Soummya Kar,et al.  Distributed Consensus Algorithms in Sensor Networks With Imperfect Communication: Link Failures and Channel Noise , 2007, IEEE Transactions on Signal Processing.

[33]  Zidong Wang,et al.  Variance-constrained state estimation for networked multi-rate systems with measurement quantization and probabilistic sensor failures , 2016 .

[34]  Jinde Cao,et al.  Distributed Consensus of Stochastic Delayed Multi-agent Systems Under Asynchronous Switching , 2016, IEEE Transactions on Cybernetics.

[35]  Donghua Zhou,et al.  H ∞ filtering for non-linear systems with stochastic sensor saturations and Markov time delays: the asymptotic stability in probability , 2016 .

[36]  Mehran Mesbahi,et al.  Agreement over random networks , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[37]  Cédric Langbort,et al.  Distributed control design for systems interconnected over an arbitrary graph , 2004, IEEE Transactions on Automatic Control.

[38]  Zidong Wang,et al.  H∞H∞ consensus control for multi-agent systems with missing measurements: The finite-horizon case , 2013, Syst. Control. Lett..

[39]  Hitoshi Katayama,et al.  Design of Consensus Controllers for Multi-rate Sampled-data Strict-Feedback Multi-agent Systems , 2015 .

[40]  Tao Li,et al.  Mean square average-consensus under measurement noises and fixed topologies: Necessary and sufficient conditions , 2009, Autom..

[41]  Hak-Keung Lam,et al.  Mean-Square $H_\infty $ Consensus Control for a Class of Nonlinear Time-Varying Stochastic Multiagent Systems: The Finite-Horizon Case , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[42]  Huijun Gao,et al.  Distributed H∞ Filtering for a Class of Markovian Jump Nonlinear Time-Delay Systems Over Lossy Sensor Networks , 2013, IEEE Transactions on Industrial Electronics.

[43]  Ahmed Chaibet,et al.  Robust control of aerial vehicle flight: Simulation and experimental results , 2014, IEEE Aerospace and Electronic Systems Magazine.

[44]  Xiaofeng Liao,et al.  Leader-following consensus in second-order multi-agent systems with input time delay: An event-triggered sampling approach , 2016, Neurocomputing.

[45]  P.J. Antsaklis,et al.  Asynchronous Consensus Protocols: Preliminary Results, Simulations and Open Questions , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[46]  Qing-Long Han,et al.  A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems , 2014, Autom..

[47]  Fuchun Sun,et al.  Stationary and dynamic consensus of second-order multi-agent systems with Markov jumping input delays , 2014 .

[48]  Ge Guo,et al.  Sampled-data leader-following consensus for nonlinear multi-agent systems with Markovian switching topologies and communication delay , 2015, J. Frankl. Inst..

[49]  Guanghui Wen,et al.  Distributed node‐to‐node consensus of multi‐agent systems with stochastic sampling , 2016 .

[50]  Arash Komaee,et al.  Potential Canals for Control of Nonlinear Stochastic Systems in the Absence of State Measurements , 2017, IEEE Transactions on Control Systems Technology.

[51]  Donghua Zhou,et al.  Event-Based $H_{\infty}$ Consensus Control of Multi-Agent Systems With Relative Output Feedback: The Finite-Horizon Case , 2015, IEEE Transactions on Automatic Control.

[52]  Zidong Wang,et al.  Variance-constrained H∞ control for a class of nonlinear stochastic discrete time-varying systems: The event-triggered design , 2016, Autom..

[53]  Qing-Long Han,et al.  Distributed event-triggered H1 filtering over sensor networks with communication delays , 2014 .

[54]  Xiaowu Mu,et al.  Containment control of second-order discrete-time multi-agent systems with Markovian missing data , 2015 .

[55]  Hamid Reza Karimi,et al.  Passivity-based output feedback control of Markovian jump systems with discrete and distributed time-varying delays , 2013, Int. J. Syst. Sci..

[56]  Jian Wu,et al.  Consensus in multi-agent systems with random delays governed by a Markov chain , 2011, Syst. Control. Lett..

[57]  Tao Li,et al.  Stochastic consensus of linear multi-agent systems with multiplicative measurement noises , 2016, 2016 12th IEEE International Conference on Control and Automation (ICCA).

[58]  Jing Zhang,et al.  Sampled-data consensus of general linear multi-agent systems under switching topologies: averaging method , 2017, Int. J. Control.

[59]  Huijun Gao,et al.  Leader-following consensus of a class of stochastic delayed multi-agent systems with partial mixed impulses , 2015, Autom..

[60]  Yang Liu,et al.  Finite-horizon quantized H∞ filter design for a class of time-varying systems under event-triggered transmissions , 2017, Syst. Control. Lett..

[61]  William B. Dunbar,et al.  Distributed Receding Horizon Control of Dynamically Coupled Nonlinear Systems , 2007, IEEE Transactions on Automatic Control.

[62]  Xiaowu Mu,et al.  L 2, 2014 .

[63]  Khashayar Khorasani,et al.  A Decentralized Markovian Jump ${\cal H}_{\infty}$ Control Routing Strategy for Mobile Multi-Agent Networked Systems , 2011, IEEE Transactions on Control Systems Technology.

[64]  Zidong Wang,et al.  A game theory approach to mixed H2/H∞ control for a class of stochastic time-varying systems with randomly occurring nonlinearities , 2011, Syst. Control. Lett..

[65]  Vikram Krishnamurthy,et al.  Detection of Anomalous Trajectory Patterns in Target Tracking via Stochastic Context-Free Grammars and Reciprocal Process Models , 2013, IEEE Journal of Selected Topics in Signal Processing.

[66]  Huijun Gao,et al.  Finite-horizon reliable control with randomly occurring uncertainties and nonlinearities subject to output quantization , 2015, Autom..

[67]  Qiang Zhang,et al.  Adaptive Tracking Games for Coupled Stochastic Linear Multi-Agent Systems: Stability, Optimality and Robustness , 2013, IEEE Transactions on Automatic Control.

[68]  T. Ohtsuka,et al.  Receding horizon Nash game approach for distributed nonlinear control , 2011, SICE Annual Conference 2011.

[69]  Dong-Jo Park,et al.  Sequential Detector Design for Spectrum Sensing Considering Instantaneously Nonidentically Distributed Samples , 2017, IEEE Transactions on Vehicular Technology.

[70]  Jitao Sun,et al.  Consensus of discrete-time linear multi-agent systems with Markov switching topologies and time-delay , 2015, Neurocomputing.

[71]  Guillermo D. Brinatti Vazquez,et al.  Distributed Temperature Sensing Using Cyclic Pseudorandom Sequences , 2017, IEEE Sensors Journal.

[72]  Zidong Wang,et al.  Event-based state estimation for a class of complex networks with time-varying delays: A comparison principle approach , 2017 .

[73]  Xiaoli Wang,et al.  Leader-following consensus of multiple linear systems under switching topologies: an averaging method , 2012, Kybernetika.

[74]  Zidong Wang,et al.  A Stochastic Sampled-Data Approach to Distributed $H_{\infty }$ Filtering in Sensor Networks , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[75]  Jinde Cao,et al.  Event-triggered consensus of Markovian jumping multi-agent systems via stochastic sampling , 2015 .

[76]  Tao Li,et al.  Stochastic consensus of continuous-time multi-agent systems with additive measurement noises , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

[77]  Xinzhi Liu,et al.  Distributed stochastic consensus of multi-agent systems with noisy and delayed measurements , 2013 .

[78]  Dongmei Xie,et al.  Consensus problem of networked multi-agent systems with constant communication delay: stochastic switching topology case , 2012, Int. J. Control.

[79]  Yasumasa Fujisaki,et al.  Multiagent Consensus With Noisy Communication: Stopping Rules Based on Network Graphs , 2016, IEEE Transactions on Control of Network Systems.

[80]  Tao Li,et al.  Mean square containment control problems of multi-agent systems under Markov switching topologies , 2015 .

[81]  Richard M. Murray,et al.  Information flow and cooperative control of vehicle formations , 2004, IEEE Transactions on Automatic Control.

[82]  Xinghuo Yu,et al.  Survey on Recent Advances in Networked Control Systems , 2016, IEEE Transactions on Industrial Informatics.

[83]  Yun Zou,et al.  Minimum communication cost consensus in multi-agent systems with Markov chain patterns , 2011 .

[84]  Hilbert J. Kappen,et al.  An Iterative Method for Nonlinear Stochastic Optimal Control Based on Path Integrals , 2017, IEEE Transactions on Automatic Control.

[85]  Long Wang,et al.  Finite-time consensus for stochastic multi-agent systems , 2011, Int. J. Control.

[86]  Zidong Wang,et al.  Sampled-Data Synchronization Control of Dynamical Networks With Stochastic Sampling , 2012, IEEE Transactions on Automatic Control.

[87]  R. Olfati-Saber,et al.  Consensus Filters for Sensor Networks and Distributed Sensor Fusion , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[88]  Daniel L. Palumbo,et al.  A principal component feedforward algorithm for active noise control: flight test results , 2001, IEEE Trans. Control. Syst. Technol..

[89]  Yadong Zhao,et al.  Guaranteed cost consensus protocol design for linear multi-agent systems with sampled-data information: An input delay approach. , 2017, ISA transactions.

[90]  Hamid Reza Karimi,et al.  A sliding mode approach to H∞ synchronization of master-slave time-delay systems with Markovian jumping parameters and nonlinear uncertainties , 2012, J. Frankl. Inst..

[91]  Qing-Long Han,et al.  Consensus of Multiagent Systems Subject to Partially Accessible and Overlapping Markovian Network Topologies , 2017, IEEE Transactions on Cybernetics.

[92]  Qing-Long Han,et al.  Network-based leader-following consensus for distributed multi-agent systems , 2013, Autom..

[93]  Fuchun Sun,et al.  Data Fusion-based resilient control system under DoS attacks: A game theoretic approach , 2015 .

[94]  Shengyuan Xu,et al.  Mean square consensus of second-order multi-agent systems under Markov switching topologies , 2014, IMA J. Math. Control. Inf..

[95]  Oh-Min Kwon,et al.  Randomly changing leader-following consensus control for Markovian switching multi-agent systems with interval time-varying delays , 2014 .

[96]  Hamid Reza Karimi,et al.  A Robust Repetitive-Control Design for a Class of Uncertain Stochastic Dynamical Systems , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.

[97]  关新平,et al.  Consensus protocol for heterogeneous multi-agent systems： A Markov chain approach , 2013 .

[98]  Zidong Wang,et al.  Robust ℋ︁∞ sliding mode control for nonlinear stochastic systems with multiple data packet losses , 2012 .

[99]  Zhang Jifeng,et al.  DISTRIBUTED CONSENSUS OF CONTINUOUS-TIME MULTI-AGENT SYSTEMS WITH MARKOVIAN SWITCHING TOPOLOGIES AND STOCHASTIC COMMUNICATION NOISES , 2011 .

[100]  Yu-Ping Tian,et al.  Structural modeling and convergence analysis of consensus-based time synchronization algorithms over networks: Non-topological conditions , 2016, Autom..

[101]  Hamid Reza Karimi,et al.  Robust Delay-Dependent $H_{\infty}$ Control of Uncertain Time-Delay Systems With Mixed Neutral, Discrete, and Distributed Time-Delays and Markovian Switching Parameters , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[102]  Tingwen Huang,et al.  An Event-Triggered Approach to State Estimation for a Class of Complex Networks With Mixed Time Delays and Nonlinearities , 2016, IEEE Transactions on Cybernetics.

[103]  Fuad E. Alsaadi,et al.  A Resilient Approach to Distributed Filter Design for Time-Varying Systems Under Stochastic Nonlinearities and Sensor Degradation , 2017, IEEE Transactions on Signal Processing.

[104]  Shun-ichi Azuma,et al.  Broadcast Control of Markovian Multi-Agent Systems , 2016 .

[105]  Jing Wang,et al.  Mitigation of complex behavior over networked systems: Analysis of spatially invariant structures , 2013, Autom..

[106]  Jonathan H. Manton,et al.  Coordination and Consensus of Networked Agents with Noisy Measurements: Stochastic Algorithms and Asymptotic Behavior , 2009, SIAM J. Control. Optim..

[107]  Fuad E. Alsaadi,et al.  Robust filtering for a class of nonlinear stochastic systems with probability constraints , 2016, Autom. Remote. Control..

[108]  Qing-Long Han,et al.  Event-Based Set-Membership Leader-Following Consensus of Networked Multi-Agent Systems Subject to Limited Communication Resources and Unknown-But-Bounded Noise , 2017, IEEE Transactions on Industrial Electronics.

[109]  Derui Ding,et al.  Event-triggered consensus control for discrete-time stochastic multi-agent systems: The input-to-state stability in probability , 2015, Autom..

[110]  WangZidong,et al.  Event-triggered consensus control for discrete-time stochastic multi-agent systems , 2015 .

[111]  Kazuhiro Ohkura,et al.  Adaptive role assignment for self-organized flocking of a real robotic swarm , 2016, Artificial Life and Robotics.

[112]  Li Sheng,et al.  Relationship Between Nash Equilibrium Strategies and $H_{2}/H_{\infty}$ Control of Stochastic Markov Jump Systems With Multiplicative Noise , 2014, IEEE Transactions on Automatic Control.

[113]  R. Xiong,et al.  Multi-Agent Consensus Control under Markovian Switching Topology and Time-Delay , 2013 .

[114]  Han-Fu Chen.  Stochastic approximation and its applications , 2002 .

[115]  Guan Xinping,et al.  Consensus protocol for heterogeneous multi-agent systems: A Markov chain approach , 2013 .

[116]  Tao Li,et al.  Consensus Conditions of Multi-Agent Systems With Time-Varying Topologies and Stochastic Communication Noises , 2010, IEEE Transactions on Automatic Control.

[117]  Zidong Wang,et al.  Event-triggered distributed ℋ ∞ state estimation with packet dropouts through sensor networks , 2015 .

[118]  Yang Tang,et al.  Stability Analysis of Stochastic Delayed Systems With an Application to Multi-Agent Systems , 2016, IEEE Transactions on Automatic Control.

[119]  Renquan Lu,et al.  Asynchronous Dissipative State Estimation for Stochastic Complex Networks With Quantized Jumping Coupling and Uncertain Measurements , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[120]  Geir E. Dullerud,et al.  Distributed control design for spatially interconnected systems , 2003, IEEE Trans. Autom. Control..

[121]  Fuad E. Alsaadi,et al.  Event-triggered H ∞ state estimation for discrete-time stochastic genetic regulatory networks with Markovian jumping parameters and time-varying delays , 2016, Neurocomputing.

[122]  Giuseppe Loianno,et al.  A Distributed Optimization Framework for Localization and Formation Control: Applications to Vision-Based Measurements , 2016, IEEE Control Systems.

[123]  Yurong Liu,et al.  Passivity analysis for discrete-time neural networks with mixed time-delays and randomly occurring quantization effects , 2016, Neurocomputing.

[124]  Gang Wang,et al.  Consensus stabilization of stochastic multi-agent system with Markovian switching topologies and stochastic communication noise , 2015, J. Frankl. Inst..

[125]  Qing-Long Han,et al.  A Decentralized Event-Triggered Dissipative Control Scheme for Systems With Multiple Sensors to Sample the System Outputs , 2016, IEEE Transactions on Cybernetics.

[126]  Reza Olfati-Saber,et al.  Flocking for multi-agent dynamic systems: algorithms and theory , 2006, IEEE Transactions on Automatic Control.

[127]  Shengyuan Xu,et al.  Consensus of data‐sampled multi‐agent systems with Markovian switching topologies , 2012 .

[128]  Shahram Yousefi,et al.  Solving Multi-UAV Dynamic Encirclement via Model Predictive Control , 2015, IEEE Transactions on Control Systems Technology.

[129]  Jing-Wen Yi,et al.  Consensus in second‐order Markovian jump multi‐agent systems via impulsive control using sampled information with heterogenous delays , 2016 .

[130]  Zidong Wang,et al.  Finite-horizon ℋ 2/ℋ ∞ control for a class of nonlinear Markovian jump systems with probabilistic sensor failures , 2011, Int. J. Control.

[131]  Yao Zhang,et al.  Nonlinear Robust Adaptive Tracking Control of a Quadrotor UAV Via Immersion and Invariance Methodology , 2015, IEEE Transactions on Industrial Electronics.

[132]  A. Mesbah,et al.  Stochastic Model Predictive Control: An Overview and Perspectives for Future Research , 2016, IEEE Control Systems.

[133]  Bo Shen,et al.  Sampled-Data Approach to Distributed H ∞ Filtering in Sensor Networks , 2013 .

[134]  Jinhu Lu,et al.  Bridging the Gap Between Transmission Noise and Sampled Data for Robust Consensus of Multi-Agent Systems , 2015, IEEE Transactions on Circuits and Systems I: Regular Papers.

[135]  Jing-Wen Yi,et al.  Consensus in Markovian jump second-order multi-agent systems with random communication delay , 2014 .

[136]  Wangli He,et al.  Sampled-data consensus of nonlinear multi-agent systems with stochastic disturbances , 2015, IECON 2015 - 41st Annual Conference of the IEEE Industrial Electronics Society.

[137]  Yang Zhang,et al.  Sampling-based event-triggered consensus for multi-agent systems , 2016, Neurocomputing.

[138]  Lei Zou,et al.  State Estimation for Discrete-Time Dynamical Networks With Time-Varying Delays and Stochastic Disturbances Under the Round-Robin Protocol , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[139]  James Lam,et al.  Consensus control of multi-agent systems with missing data in actuators and Markovian communication failure , 2013, Int. J. Syst. Sci..

[140]  Long Wang,et al.  Sampled-data consensus for multi-agent systems with quantised communication , 2015, Int. J. Control.

[141]  Ji-Feng Zhang,et al.  Distributed output feedback control of Markov jump multi-agent systems , 2013, Autom..

[142]  Dong Yue,et al.  Event-triggered tracking control for heterogeneous multi-agent systems with Markov communication delays , 2013, J. Frankl. Inst..

[143]  Guoqiang Hu,et al.  Passivity-based consensus and passification for a class of stochastic multi-agent systems with switching topology , 2012, 2012 12th International Conference on Control Automation Robotics & Vision (ICARCV).

[144]  Luca Schenato,et al.  Average TimeSynch: A consensus-based protocol for clock synchronization in wireless sensor networks , 2011, Autom..

[145]  Avimanyu Sahoo,et al.  Stochastic Optimal Regulation of Nonlinear Networked Control Systems by Using Event-Driven Adaptive Dynamic Programming , 2017, IEEE Transactions on Cybernetics.

[146]  A. Jadbabaie,et al.  On the stability of the Kuramoto model of coupled nonlinear oscillators , 2005, Proceedings of the 2004 American Control Conference.

[147]  Feng Qian,et al.  Network-based leader-following consensus of nonlinear multi-agent systems via distributed impulsive control , 2017, Inf. Sci..

[148]  Alex S. Poznyak,et al.  Sliding Mode Control in Stochastic Continuos-Time Systems: $\boldsymbol{\mu}$-zone $\boldsymbol{MS}$-Convergence , 2017, IEEE Transactions on Automatic Control.

[149]  Qing-Long Han,et al.  Distributed networked control systems: A brief overview , 2017, Inf. Sci..

[150]  Xiaoli Wang,et al.  Consensus controllability, observability and robust design for leader-following linear multi-agent systems , 2013, Autom..

[151]  Jianchang Liu,et al.  Consensus gain conditions of stochastic multi-agent system with communication noise , 2016 .

[152]  Fuchun Sun,et al.  Delay-dependent stability criteria for time-varying delay neural networks in the delta domain , 2014, Neurocomputing.

[153]  Jianchang Liu,et al.  Consensus stabilization in stochastic multi-agent systems with Markovian switching topology, noises and delay , 2016, Neurocomputing.

[154]  Wei Li,et al.  Impulsive coordination of nonlinear multi-agent systems with multiple leaders and stochastic disturbance , 2016, Neurocomputing.

[155]  Mo Lipo,et al.  Mean-square consensus of heterogeneous multi-agent systemsunder Markov switching topologies , 2016 .

[156]  Guoliang Wei,et al.  Weighted Average Consensus-Based Unscented Kalman Filtering , 2016, IEEE Transactions on Cybernetics.

[157]  H. Kushner,et al.  Stochastic Approximation and Recursive Algorithms and Applications , 2003 .

[158]  Yurong Liu,et al.  Exponential stability of Markovian jumping Cohen-Grossberg neural networks with mixed mode-dependent time-delays , 2016, Neurocomputing.