LMI-Based Stability Analysis of Continuous-Discrete Fractional-Order 2D Roesser Model

The manuscript investigates the problem of structural stability of continuous-discrete fractional-order 2D Roesser model. This model includes one continuous fractional-order dimension with fractional-order alpha is an element of (0, 2) and one discrete dimension. By the equivalent transform and generalized Kalman-Yakubovic-Popov lemma, the necessary and sufficient stability conditions for structural stability of continuous-discrete fractional-order 2D Roesser model are established. Our results are all in the form of linear matrix inequalities. And compared with the existing results, our results have no conservativeness and can be applied in the cases with fractional-order alpha is an element of (0, 2) in the continuous fractional-order dimension. Illustrated examples are provided to verify the effectiveness of our results.

Automated summary

This manuscript investigates the problem of structural stability of continuous-discrete fractional-order 2D Roesser model. By using equivalent transform and generalized Kalman-Yakubovic-Popov lemma, the necessary and sufficient stability conditions for this model are established. Our results, in the form of linear matrix inequalities, are more accurate than existing results and applicable in a wider range of cases with continuous fractional-order dimension.