|
Networked Dynamical Systems Group (NDSG)
|
Welcome to the Networked Dynamical Systems Group at the University of California, Berkeley. Our group develops design and analysis techniques for desirable dynamical behaviors of networks and applies them to multi-agent systems and biological networks. The key challenges in this endeavor are the complexity and size of the models describing networked systems, and the uncertainty and heterogeneity of the components. To overcome these challenges, our approach is to heavily exploit the structure of the network interconnection, while representing the components with a broad description of their essential properties that are relevant to the ensemble behavior. Structure indeed plays a major role in shaping the network dynamics. Analysis tools that recognize and take advantage of structure avoid undue conservatism in predicting dynamical properties. Likewise, feedback designs that exploit structure work in harmony with inherent system properties rather than override them.
|
Selected Recent Publications
J. Hsia, W. J. Holtz, D. C. Huang, M. Arcak, and M. M. Maharbiz, “A feedback quenched oscillator produces Turing patterning with one diffuser,” PLoS Computational Biology, vol. 8, pp. e1002331, Jan. 2012.
S. Shafi, M. Arcak, and L. El Ghaoui, “Graph weight design to meet Laplacian spectral constraints,” to appear in IEEE Transactions on Automatic Control, 2012.
M. Arcak, “Diagonal stability on cactus graphs and application to network stability analysis,” IEEE Transactions on Automatic Control, vol. 56, no. 12, pp. 2766-2777, Dec. 2011.
S. Coogan, M. Arcak, and M. Egerstedt, “Scaling the size of a multiagent formation via distributed feedback,” in Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011, pp. 994-999.
M. Arcak, “Certifying spatially uniform behavior in reaction-diffusion PDE and compartmental ODE systems,” Automatica, June 2011.
E. Summers, M. Arcak, and A. Packard, “Evaluating the delay robustness of interconnected passive systems with a frequency-dependent integral quadratic constraint,” in Proceedings of the 2011 American Control Conference, 2011, pp. 4237-4242.
|