Sampled-data state feedback control design for evolutionary threshold public goods games on coupled networks.

This paper investigates the design problem of the sampled-data state feedback control (SDSFC) for evolutionary threshold public goods games (PGGs) with two enhancement factors on coupled networks. Firstly, using the semi-tensor product (STP) of matrices, an algebraic form for the dynamics of the controlled coupled PGGs is established. Secondly, based on the algebraic expression, the conditions to make the accumulated contribution of all players in each game reach its own threshold under SDSFCs are provided, and the SDSFCs are derived. Finally, an illustrative example is given to show the effectiveness of the obtained results. [ABSTRACT FROM AUTHOR]