Cooperative Control of Dynamical Systems: Applications to Autonomous Vehicles

By Zhihua Qu. 2009

671 citations recorded by the source corpus.

How researchers see this paper

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

1. Wenwu Yu
2. Guanghui Wen
3. Zhongkui Li
4. Guanrong Chen
5. Wei Ren
6. Yongcan Cao
7. Z. Duan
8. Housheng Su

Citations in the corpus

• An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination (2012, background): “As a direct extension of the study of the consensus problem for systems with simple dynamics, for example, with single-integrator kinematics or double-integrator dynamics, consensus with general linear dynamics was also studied recently [52]–[57], where research is mainly devoted to finding feedback”
• Cooperative adaptive control for synchronization of second‐order systems with unknown nonlinearities (2011, background): “An M -matrix is a square matrix having non-positive off-diagonal elements and all principal minors non-negative [26, 35].”
• Consensus Tracking of Multi-Agent Systems With Lipschitz-Type Node Dynamics and Switching Topologies (2014, background): “25 in [36], one can get the following lemma.”
• Cooperative Output Regulation of Linear Multi-Agent Systems (2012, background): “Over the past decade, various control problems such as consensus, synchronization, formation, flocking, swarming of multi-agent systems have been extensively studied as documented in the survey papers [11], [15] and books [12], [14].”
• Cooperative robust output regulation of a class of heterogeneous linear uncertain multi‐agent systems (2014, background): “As pointed out in [5, 7], the cooperative output regulation problem includes the leader-following consensus problem as a special case which was extensively studied in, for example, [13, 14] for single integrator systems, [15–17] for double integrator systems, and [18,19] for some more general system”
• Distributed Adaptive Tracking Control for Synchronization of Unknown Networked Lagrangian Systems (2011, methodology): “In particular, the use of the graph theory and the matrix theory produced many interesting results, such as those in [1], [3], [4], [6], [8], and [27], to name a few.”
• Distributed Continuous-Time Convex Optimization With Time-Varying Cost Functions (2015, background): “19 in [39] implies that the system (52) is asymptotically stable.”
• Optimal Design for Synchronization of Cooperative Systems: State Feedback, Observer and Output Feedback (2011, background): “Proof: Under Assumption 1, all the eigenvalues of matrix (cid:13) have positive real parts [13], [14].”
• Distributed adaptive control for synchronization of unknown nonlinear networked systems (2010, methodology): “Lemma 2 (Qu (2009)).”
• Lyapunov, Adaptive, and Optimal Design Techniques for Cooperative Systems on Directed Communication Graphs (2012, background): “Lemma 7 [34]: Let the Laplacian matrix L be an irreducible singular M -matrix.”
• Designing Fully Distributed Consensus Protocols for Linear Multi-Agent Systems With Directed Graphs (2013, background): “Note that the specific form of G given here is different from that in [19], [21], and [22].”
• Distributed adaptive control for consensus tracking with application to formation control of nonholonomic mobile robots (2014, methodology): “Remark 3 Observing (1), the system model considered in this paper is similar to that in Wang et al. (2011). Such a model is more general than those in most of the currently available results on distributed consensus control including Hong et al.”
• Event-based synchronisation of linear discrete-time dynamical networks (2015, background): “Noting that for a directed graph G containing a spanning tree, there exists a positive diagonal matrix Σ 0 such that LΣ + ΣLT 0 [49].”