Stability and Robustness Analysis of Commensurate Fractional-order Networks

Motivated by biochemical reaction networks, a generalization of the classical secant condition for stability analysis cyclic interconnected commensurate fractional-order systems is provided. The main result presents sufficient networks interconnection when digraph describing network conforms to single circuit. becomes necessary under special situation where coupling weights are uniform. We then investigate robustness linear networks. Robustness performance quantified using $\mathcal H_2$ -norm dynamical system. theoretical results confirmed via some numerical illustrations.