Title :
Swarm Stability of Compartmental Networks with Linear Time-Invariant High-Order Dynamical Protocol
Author :
Ma Haiying ; Cai Ning
Author_Institution :
Sch. of Econ., Northwest Univ. for Nat., Lanzhou, China
Abstract :
Swarm stability is concerned for compartmental networks with linear time invariant high-order dynamical protocol. Compartmental network is a specific type of dynamical multi-agent system. Necessary and sufficient condition of swarm stability is given, which requires that the products of nonzero elements from the spectrum of the Laplacian matrix of the network and the spectrum of the dynamical protocol possess nonnegative real parts. Two numerical instances are illustrated.
Keywords :
matrix algebra; multi-agent systems; protocols; Laplacian matrix; compartmental networks; dynamical multi-agent system; linear time-invariant high-order dynamical protocol; nonzero elements; numerical instances; swarm stability; Asymptotic stability; Eigenvalues and eigenfunctions; Multiagent systems; Numerical stability; Protocols; Stability criteria; Laplacian matrix; compartmental network; multi-agent system; swarm stability;
Conference_Titel :
Business Computing and Global Informatization (BCGIN), 2011 International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4577-0788-9
Electronic_ISBN :
978-0-7695-4464-9
DOI :
10.1109/BCGIn.2011.138
