Finite-Time Consensus Problems for Networks of Dynamic Agents
1,091 citations recorded by the source corpus.
In this note, we discuss finite-time state consensus problems for multi-agent systems and present one framework for constructing effective distributed protocols, which are continuous state feedbacks. By employing the theory of finite-time stability, we investigate both the bidirectional interaction case and the unidirectional interaction case, and prove that if the sum of time intervals, in which the interaction topology is connected, is sufficiently large, the proposed protocols will solve the finite-time consensus problems.
Subfields: Computer Networks and Communications, Mechanical Engineering
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In Computer Networks and Communications
In Mechanical Engineering
Citations in the corpus
- An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination (2012, background): “Finite-time consensus for networked systems with single-integrator kinematics (1) in the continuoustime setting was solved in [88], [93], [161]–[164].”
- Nonsingular fixed-time consensus tracking for second-order multi-agent networks (2015, background): “In the analysis of consensus problems, an important performance index for a proposed consensus protocol is convergence rate (Wang & Xiao, 2010).”
- Finite-Time Consensus for Switching Network Topologies with Disturbances (2013, background): “In [13], [14] and [15], finite-time consensus algorithms are provided for networks of unperturbed integrators by exploiting discontinuous local interaction rules under time varying (both undirected and directed) network topologies.”
- Distributed Kalman filtering based on consensus strategies (2008, neutral): “[7], [29]) on finite-time consensus algorithms.”
- Distributed Control Strategies for Microgrids: An Overview (2020, background): “Regarding finite-time consensus, this technique allows achieving convergence in a finite number of steps [99], [100], while rejecting disturbances and dealing with uncertainties [161].”
- Distributed Finite-Time Average Consensus in Digraphs in the Presence of Time Delays (2015, background): “…fact that they converge in finite time, it is reported that closed-loop systems under finite-time control usually demonstrate better disturbance rejection properties [22]; this can be important in applications where the averaging operation is a first step toward a control or regularization task.”
- Fixed-Time Consensus Tracking for Multiagent Systems With High-Order Integrator Dynamics (2018, background): “Till now, most reported work in this community mainly addresses the finite-time consensus/synchronization for first- or second-order subsystems in a group [11], [12], [13], [14], [15], [16].”
- Semi‐global and global containment control of multi‐agent systems with second‐order dynamics and input saturation (2016, background): “If there exist a set of positive scalars 1pi > 0ji 2 Vo such that piaij D pjaj i holds for all i; j 2 V , then the graph G is called detail balanced [39, 40].”
- Fixed-time stabilization and consensus of nonholonomic systems (2016, neutral): “Indeed, this important performance index is of high interest to study the effectiveness of a consensus protocol in the context of MAS [29].”
- Distributed Continuous-Time Optimization: Nonuniform Gradient Gains, Finite-Time Convergence, and Convex Constraint Set (2017, background): “, [17], [18]) cannot be extended directly to the distributed finite-time optimization problems.”
- A survey of distributed optimization (2019, methodology): “Inspired by the finite-time consensus protocol ( Wang & Xiao, 2010 ) and the distributed ZGS algorithm ( Lu & Tang, 2012 ), the authors of Song and Chen (2016) developed a distributed finite-time ZGS algorithm.”
- Prescribed-Time Consensus and Containment Control of Networked Multiagent Systems (2019, neutral): “To compare the performance between the prescribed-time control proposed herein and the one developed by [9], three different initial conditions are tested and the”