On Consensus Algorithms for Double-Integrator Dynamics

By Wei Ren. IEEE Transactions on Automatic Control, 2007

1,066 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/c20ab334d71cdf228c57c462ffaa833d79e1debb

How researchers see this paper

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

In Artificial Intelligence

1. Wenwu Yu
2. Guanrong Chen
3. Yongcan Cao
4. W. Zheng
5. Jiahu Qin
6. Long Wang
7. Lei Ding
8. Huijun Gao

In Computer Networks and Communications

1. Guanrong Chen
2. Wenwu Yu
3. Wei Ren
4. Qing-Long Han
5. Z. Duan
6. Yongcan Cao
7. Frank L. Lewis
8. Guanghui Wen

In Control and Systems Engineering

1. Peng Shi
2. Huijun Gao
3. Qing-Long Han
4. James Lam
5. Zongyu Zuo
6. Guanrong Chen
7. Shengyuan Xu
8. W. Zheng

Citations in the corpus

• Distributed consensus of linear multi-agent systems with adaptive dynamic protocols (2011, positive): “Due to its potential applications in broad areas such as spacecraft formation flying and sensor networks, the consensus problem has been extensively studied by numerous researchers from various perspectives; see [1, 2, 3, 4, 5, 6, 7] and references therein.”
• Semi-Global Leader-Following Consensus of Linear Multi-Agent Systems With Input Saturation via Low Gain Feedback (2013, background): “In contrast to the known results on the consensus of linear multi-agent systems in [31], [33]–[38] and the consensus with input saturation in [27], [42]–[44], the proposed consensus algorithms are analyzed on both connected and jointly connected networks.”
• Fixed-time stabilization and consensus of nonholonomic systems (2016, positive): “It has been deeply studied for single integrator MAS [19], second-order MAS [20, 21, 22] and general linear MAS [23].”
• Collective Motion From Consensus With Cartesian Coordinate Coupling (2008, methodology): “kinematics presented in [9] to account for dynamic models and also generalize existing consensus algorithms for doubleintegrator dynamics to achieve different collection motions.”
• Robust semi‐global coordinated tracking of linear multi‐agent systems with input saturation (2015, background): “Second, this work extends the existing results on consensus with saturation constraints [20], [31], [32], [33], [34], [35], [36], [37] to the case of agents described by more general linear dynamics.”
• LQR‐based optimal topology of leader‐following consensus (2015, background): “Sufficient conditions for second-order consensus were gotten under various circumstances [17, 18].”
• Decentralized Robust Adaptive Control for the Multiagent System Consensus Problem Using Neural Networks (2009, background): “For agents with the double-integrator dynamics, consensus-related problems have been studied in [16] and [17].”
• Second-order consensus for multi-agent systems with switching topology and communication delay (2011, background): “[18] considers various consensus algorithms for second-order dynamics by using differentmethods also under fixed topology.”
• Network-based leader-following consensus for distributed multi-agent systems (2013, positive): “Furthermore, most of existing results such as Ren (2008) and Yu, Chen, and Cao (2010); Yu, Chen, Cao, and Kurths (2010) mainly focus on deriving some sufficient consensus conditions for a multi-agent system rather than designing a consensus controller.”
• A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems (2014, background): “…considerable attention due to its wide applications in cooperative control of mobile robots, formation control of unmanned vehicles, see, e.g., Jadbabaie, Lin, and Morse (2003), Ma and Zhang (2010), Olfati-Saber andMurray (2004), Ren (2008), Ren and Beard (2005) and Yu, Chen, and Cao (2010).”
• Consensus in multi‐agent systems with communication constraints (2012, background): “Remark 1 If T = [0,+∞) in system (7), that is, each agent can communicate with its neighbors all the time, then system (7) becomes the typical second-order system studied in [30, 33, 34, 36, 40], among others.”
• Recent Advances in Consensus of Multi-Agent Systems: A Brief Survey (2017, methodology): “In [73], the consensus algorithm for double-integrator dynamics under an undirected interaction graph is proposed by utilizing the saturation function tanh(·).”
• Necessary and Sufficient Conditions for Consensus of Delayed Fractional‐order Systems (2012, background): “Consensus algorithms of single-integrator dynamic systems, and well as double-integrator dynamic systems [6-8] or even high order dynamic systems [9, 10] have been discussed.”
• Distributed Higher Order Consensus Protocols in Multiagent Dynamical Systems (2011, background): “Most existing reports on the consensus problem focus on the case where agents are governed by first-order dynamics [4], [13], [18], [23], [24] or second-order dynamics [9], [10], [21].”
• Adaptive consensus with a virtual leader of multiple agents governed by locally Lipschitz nonlinearity (2013, background): “Some necessary and sufficient conditions are presented to ensure the consensus of second-order systems with double integrators in [10, 11], where the steady state”
• Nonsingular fixed-time consensus tracking for second-order multi-agent networks (2015, background): “Network Consensus (Ren, 2008) means that a group of agents reaches an agreement upon a common value by local interaction.”
• An Overview of Recent Advances in Event-Triggered Consensus of Multiagent Systems (2018, neutral): “As a result, numerous research on distributed consensus control for MASs has been conducted in recent years, see [1], [18]–[27].”
• Consensus of Hybrid Multi-Agent Systems (2015, positive): “Ren [23] investigated the second-order consensus of multiagent systems in four cases.”