DocumentCode :
2469611
Title :
On System State Equipartitioning and Semistability in Network Dynamical Systems with Arbitrary Time-Delays
Author :
Chellaboina, VijaySekhar ; Haddad, Wassim M. ; Hui, Qing ; Ramakrishnan, Jayanthy
Author_Institution :
Dept. of Mech., Aerosp., & Biomed. Eng., Tennessee Univ., Knoxville, TN
fYear :
2006
fDate :
13-15 Dec. 2006
Firstpage :
3461
Lastpage :
3466
Abstract :
In many applications involving multiagent systems, groups of agents are required to agree on certain quantities of interest. In particular, it is important to develop consensus protocols for networks of dynamic agents with directed information flow, switching network topologies, and possible system time-delays. In this paper, we use compartmental dynamical system models to characterize dynamic algorithms for linear and nonlinear networks of dynamic agents in the presence of inter-agent communication delays that possess a continuum of semistable equilibria, that is, protocol algorithms that guarantee convergence to Lyapunov stable equilibria. In addition, we show that the steady-state distribution of the dynamic network is uniform, leading to system state equipartitioning or consensus. These results extend the results in the literature on consensus protocols for linear balanced networks to linear and nonlinear unbalanced networks with time-delays
Keywords :
Lyapunov methods; control engineering computing; delay systems; multi-agent systems; network theory (graphs); nonlinear control systems; topology; Lyapunov stable equilibria; consensus protocols; linear balanced networks; multiagent systems; network dynamical systems; network topologies switching; nonlinear unbalanced network; steady-state distribution; system state equipartitioning; time-delays; Aerodynamics; Biological materials; Communication switching; Control systems; Multiagent systems; Network topology; Nonlinear dynamical systems; Power system dynamics; Protocols; Vehicle dynamics;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
Type :
conf
DOI :
10.1109/CDC.2006.376886
Filename :
4177322
Link To Document :
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