Networked Dynamical Systems

As networks become ubiquitous in many areas of engineering, it has become of paramount importance to examine how the network and its structure effect the dynamic properties of the overall system, such as its stability, performance, and robustness, both in the random and deterministic settings. We also consider some of the more fundamental system-theoretic questions such as controllability and observability of networked systems. Our research team examines a wide range questions from theoretical point of view as well as their ramifications for systems such as multiple spacecraft formation flying, distributed robotics, UAV formations, heterogeneous dynamic networks, and more recently, in the setting of social and biological networks.

                  

Project Sponsors: AFOSR, ARO/MURI, NSF, DARPA

Recent Publications:

  • A. Awad, A. Chapman, E. Schoof, A. Narang-Siddarth, and M. Mesbahi, Time-scale separation in networks: state-dependent graphs and consensus tracking, IEEE Transactions on Network Control Systems (to appear).
  • E. Schoof, A. Chapman and M. Mesbahi, Weighted Bearing-Compass Dynamics: Edge and Leader Selection, Transactions on Network Science and Engineering (in-press).
  • M. Hudoba de Badyn, S. Alemzadeh, and M. Mesbahi, Controllability and Data-Driven Identification of Bipartite Consensus on Nonlinear Signed Networks, IEEE Conference on Decision and Control, 2017.
  • S. Alemzadeh, M. Hudoba de Badyn, and M. Mesbahi, Controllability and Stabilizability of Signed Consensus Networks, IEEE Conference on Control Technology and Applications, 2017.
  • H. Shao, Y. Xi, M. Mesbahi, and D. Li, Relative Tempo of Multiplex Consensus Networks, IFAC World Congress, 2017.
  • A. Chapman, E. Schoof, and M. Mesbahi, Pattern Control for Networks of Ginzburg-Landau Oscillators via Markov Decision Processes, IEEE Conference on Decision and Control, 2016.
  • S.S. Mousavi, M. Haeri, and M. Mesbahi, “Robust strong structural controllability of networks with respect to edge additions and deletions”, In Proc. of the American Control Conferece 2017: 5007-5012
  • S.S. Mousavi, M. Haeri, and M. Mesbahi, “On the Structural and Strong Structural Controllability of Undirected Networks”, IEEE Transactions on Automatic Control, 2017
  • J. Emenheiser, A. Chapman, M. Posfai, J. P. Crutchfield, M. Mesbahi, and R. M. D’Souza, Patterns of patterns of synchronization: Noise induced attractor switching in rings of coupled nonlinear oscillators, Chaos,  2016 Sep; 26 (9): 094816.
  • A. Chapman and M. Mesbahi, “On Symmetry and Controllability of Multi-Agent Systems,” IEEE Conference on Decision and Control, 2014.
  • A. Chapman and M. Mesbahi, “Kronecker Product of Networked Systems and their Approximates,” International Symposium on Mathematical Theory of Networks and Systems, 2014.
  • E. Schoof, A. Chapman and M. Mesbahi, “Bearing-compass formation control: A human-swarm interaction perspective,” American Control Conference, 2014.
  • H. Shao and M. Mesbahi, “Degree of Relative Influence for Consensus-type Networks,” American Control Conference, 2014.