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The Stability Analysis for the Pinning Control of a Class of the Star Coupled Network

A pining control problem for a class of the star coupled network is proposed in this paper. The stability of the star coupled system before and after the pinning controls and with unconnected nodes are all analyzed. When the control gain is known, a sufficient and necessary condition is obtained for the coupled intensity, which guarantees the stability of the star coupled network. The simulation computing validates the theorem of this article. And compared with the prior result, the solver is wider.