Title :
On bifurcations in nonlinear consensus networks
Author :
Srivastava, V. ; Moehlis, J. ; Bullo, F.
Author_Institution :
Dept. of Mech. Eng., Univ. of California, Santa Barbara, Santa Barbara, CA, USA
fDate :
June 30 2010-July 2 2010
Abstract :
The theory of consensus dynamics is widely employed to study various linear behaviors in networked control systems. Moreover, nonlinear phenomena have been observed in animal groups, power networks and in other networked systems. This inspires the development in this paper of two novel approaches to define distributed nonlinear dynamical interactions. The resulting dynamical systems are akin to higher-order nonlinear consensus systems. Over connected undirected graphs, the resulting dynamical systems exhibit various interesting behaviors that we rigorously characterize.
Keywords :
bifurcation; distributed parameter systems; graph theory; nonlinear control systems; animal groups; bifurcations; consensus dynamics; distributed nonlinear dynamical interactions; networked control systems; nonlinear consensus networks; power networks; undirected graphs; Animals; Artificial neural networks; Bifurcation; Biological system modeling; Decision making; Multiagent systems; Nonlinear control systems; Nonlinear dynamical systems; Stability; Systems engineering and theory;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5531534
