Finite-time convergent gradient flows with applications to network consensus

By Jorge Cortés. 2006

860 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Public Health, Environmental and Occupational Health, Optimization & Training, Network Science & Complex Systems

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Wei Ren
2. Guanrong Chen
3. Wenwu Yu
4. Qing-Long Han
5. Yongcan Cao
6. Long Wang
7. Zongyu Zuo
8. Z. Duan

In Public Health, Environmental and Occupational Health

1. Wei Ren
2. Long Wang
3. Qing Hui
4. Yongcan Cao
5. Zongyu Zuo
6. Housheng Su
7. Guanrong Chen
8. Yiguang Hong

In Optimization & Training

1. Long Wang
2. Qing Hui
3. Zongyu Zuo
4. Yiguang Hong
5. Wei Ren
6. Yongcan Cao
7. Feng Xiao
8. Andrew Zisserman

In Network Science & Complex Systems

1. Long Wang
2. Qing Hui
3. Zongyu Zuo
4. Yiguang Hong
5. Wei Ren
6. Yongcan Cao
7. Feng Xiao
8. Xiaoli Wang

Citations in the corpus

• CrossTransformers: spatially-aware few-shot transfer (2020, methodology): “Therefore, our experiments increase resolution to the standard 224×224 and use ResNet-34, and we also use normalized stochastic gradient descent [18, 58], which we found improved stability when fine-tuning more complex networks.”
• An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination (2012, methodology): “consensus for complex systems is used for the study of consensus problem when the system dyn amics are nonlinear [ 54]–[56], [56]–[87] or with nonlinear consensus algorithms [ 88]–[90].”
• Protein sequence design by conformational landscape optimization (2021, positive): “where in order to havemore control over theminimization, we normalize the gradients (25) and gradually decrease the step size λi according to the nonlinear schedule λi = (1 − i=N)2, where N is the number of minimization steps.”
• Convergence Speed in Distributed Consensus and Averaging (2009, neutral): “Recently, the problem has attracted significant attention [18, 22, 2, 11, 24, 7, 14, 25, 26, 13, 8, 5, 1], motivated by new contexts and open problems in communications, sensor networks, and networked control theory.”
• Global target aggregation and state agreement of nonlinear multi-agent systems with switching topologies (2009, background): “…partly due to a broad application of multi-agent systems including consensus, swarming, and formation (referring to Chu, Wang, Chen, and Mu (2006), Cortés (2006), Egerstedt and Hu (2001), Fax and Murray (2004), Gazi and Passino (2004), Hu and Hong (2007) and Martinez, Cortes, and Bullo (2007)).”
• Consensus of Multi-Agent Systems in Directed Networks With Nonuniform Time-Varying Delays (2009, background): “Finite-time consensus problem by using non-smooth gradient flows was studied in [11].”
• Finite-time formation control for multi-agent systems (2009, background): “These protocols have the form of a continuous state feedback and bridge the gap between asymptotical consensus protocols and discontinuous finite-time consensus protocols (Cortés, 2006).”
• Finite-Time Semistability and Consensus for Nonlinear Dynamical Networks (2008, neutral): “However, with the notable exception of [22], finite-time coordination has not been addressed in the literature.”
• Multi‐surface sliding control for fast finite‐time leader–follower consensus with high order SISO uncertain nonlinear agents (2014, methodology): “Unlike the work in [32] that discusses the solutions in Filippov sense [34] and the design in [33] for discrete-time systems, our work is based on the adding a power integrator approach for continuous time systems in [35–38] to guarantee finite-time reachability of the set of sliding surfaces where ”
• Asynchronous consensus of continuous-time multi-agent systems with intermittent measurements (2010, background): “…Ben-Jacob, Cohen, and Schochet 1995; Jadbabaie, Lin, and Morse 2003; Olfati-Saber and Murray 2004, Ren and Beard 2005), finite-time consensus (Corte´s 2006; Xiao, Wang, and Jia 2008), consensus over random networks (Hatano and Mesbahi 2005, Porfiri and Stilwell 2007), optimal consensus…”
• Decentralised minimal-time consensus (2011, neutral): “A finite-time protocol is designed in [12].”
• Distributed Kalman filtering based on consensus strategies (2008, neutral): “[7], [29]) on finite-time consensus algorithms.”
• Finite-Time Consensus Problems for Networks of Dynamic Agents (2007, methodology): “The discontinuous ca e of protocol (5) was studied by Cortés in [24], whereG(A) is assumed to be a connected undirected graph and A is also a 0− 1 matrix.”
• 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]–[16].”
• Distributed Control Strategies for Microgrids: An Overview (2020, neutral): “Its application on MAS was introduced in [162].”