Connective stability analysis for a class of pseudo-linear interconnected swarm systems

This paper considers the connective stability of the interconnected swarm systems which are under the M-matrix conditions. A connective stability criterion for a class of pseudo-linear interconnected swarm systems is presented by finding the sum of weighted Lyapunov function for the interconnected subsystems. Simultaneously an example has been given to illustrate that the connective stability criterion can simplify the process of the stable analysis for this class of interconnected swarm systems, reduce the computational load, and be suitable for practical applications.