NDLI: Synchronisation of stochastic delayed multi-agent systems with uncertain communication links and directed topologies

Content Provider	IET Digital Library
Author	Wang, Fan Liang, Jinling Huang, Tingwen
Abstract	This study investigates the mean square exponential (MSE) synchronisation problem for the multi-agent systems with multiplicative noises, where the communication topologies among the agents are directed and time varying. The phenomenon of randomly varying coupling delay is considered and described by a Bernoulli distributed white sequence with known probability, thereby better reflecting the practical system dynamics. Network topologies proposed in this study are directed and time varying which intrinsically characterise the random communications between agents. By exploiting the graph theory and the coordinate transformation method, the MSE synchronisation problem for the stochastic multi-agent network is converted into a robust MSE stability problem for the transformed system. Then by constructing a Lyapunov functional and utilising the properties of Kronecker product, both delay-independent and delay-dependent sufficient conditions are derived guaranteeing the transform system to be robustly stable in the mean square. The criteria established are in the form of matrix inequalities which can be solved and checked easily. Finally, simulation examples are provided to illustrate the validity for the obtained results.
Starting Page	90
Ending Page	100
Page Count	11
ISSN	17518644
Volume Number	11
e-ISSN	17518652
Issue Number	Issue 1, Jan (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/11/1
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2016.1134
Journal	IET Control Theory & Applications
Publisher Date	2016-09-26
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Bernoulli Distributed White Sequence Combinatorial Mathematics Coordinate Transformation Method Decentralised Control Delay System Delay-dependent Sufficient Condition Delay-independent Sufficient Condition Directed Network Topology Distributed Parameter Control System Graph Theory Kronecker Product Lyapunov Functional Lyapunov Method Matrix Inequalities Mean Square Exponential Synchronisation Problem MSE Synchronisation Problem Multi-agent System Multiplicative Noises Multivariable Control System Network Theory (Graph) Probability Random Communication Random Processes Randomly Varying Coupling Delay Robust Control Robust MSE Stability Problem Robust Stability Stability in Control Theory Statistics Stochastic Delayed Multiagent System Synchronisation Stochastic System Synchronisation Time Varying Control System Time Varying Network Topology Uncertain Communication Link Uncertain System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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