Controllability of Multi-Agent Systems from a Graph-Theoretic Perspective

By A. Rahmani, Meng Ji, Mehran Mesbahi, Magnus Egerstedt. SIAM Journal of Control and Optimization, 2009

802 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/6a2e8e720cb2df23e0ae3aee77408898e3f6670c

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Citations in the corpus

Distributed consensus of linear multi-agent systems with adaptive dynamic protocols (2011, positive): “The controllability of leader-follower multi-agent systems is considered in [8] from a graph-theoretic perspective.”
Controllability of Weighted and Directed Networks with Nonidentical Node Dynamics (2013, background): “studied the controllability in the multileader setting via equitable partitions [5, 6].”
Control Centrality and Hierarchical Structure in Complex Networks (2012, background): “While these principles have significantly enriched our understanding of many networks that affect our lives, our ultimate goal is to develop the capability to control them [5–17].”
On Submodularity and Controllability in Complex Dynamical Networks (2014, background): “Other important studies of controllability in networks include [39], [36], [33].”
A Survey on Aerial Swarm Robotics (2018, background): “For this problem, there exist necessary conditions based on symmetry and equipartition [47]–[49].”
Leader-following consensus of multi-agent systems under fixed and switching topologies (2010, neutral): “[31] from a graph-theoretic perspective.”
Data-Driven Sparse Sensor Placement for Reconstruction: Demonstrating the Benefits of Exploiting Known Patterns (2017, background): “More generally, sensor and actuator placement may be optimized for robustness [66], [67] or network control and consensus problems [68]–[72].”
Consensus of Multi-Agent Systems With General Linear and Lipschitz Nonlinear Dynamics Using Distributed Adaptive Protocols (2011, background): “ subject to external disturbances and model uncertainties. Consensus algorithms are designed in [8], [9] for a group of agents with quantized communication links and limited data rate. The authors in [10] studies the controllability of leader-follower multi-agent systems from a graph-theoretic persp”
Controlling edge dynamics in complex networks (2011, background): “Considerably less attention has been dedicated to the various types of network dynamics [19,34,46,52] and even less to the problem of controllability [33, 53, 63], i.”
Sparse stabilization and optimal control of the Cucker-Smale model (2013, positive): “[54, 56], the conceptually closest work to our approach is perhaps the seminal paper [40], where externally driven “virtual leaders” are inserted in a collective motion dynamics in order to enforce a certain behavior.”
Control Principles of Complex Networks (2015, background): “First, linear systems offer an accurate model for some real problems, like consensus or agreement formation in multi-agent networks, where the state of each agent captures its opinion (Liu et al., 2008; Mesbahi and Egerstedt, 2010; Rahmani et al., 2009; Tanner, 2004).”
Controllability Metrics, Limitations and Algorithms for Complex Networks (2013, methodology): “In this work we measure controllability of a network based on the smallest eigenvalue of the controllability Gramian.”