Connective stability analysis for a class of linear time-variable interconnection swarm systems

Qian Wang, Xuebo Chen · Chinese Control Conference · 2010

According to the theory of Lyapunov vector function and the decision theorem of the global optimal system stability, by introducing a decision method of M-matrix, a criterion of connective stability for a class of linear time-variable interconnection swarm systems is proposed in this paper. The simulation of the formation control of the double-stranded (the word formation) five-robot has been given to illustrate the feasibility and the validity of the criterion.

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