A Novel LMI Condition for Stability of 2D Mixed Continuous-Discrete-Time Systems via Complex LFR and Lyapunov Functions

This paper addresses the problem of establishing stability of 2D mixed continuous-discrete-time systems. A novel linear matrix inequality (LMI) condition is proposed based on the introduction of a complex linear fractional representation (LFR) of the systems and on the use of complex Lyapunov functions depending rationally on a parameter. Promising results are obtained in terms of computational burden. Indeed, as shown by various examples with small and large dimensions, the computational burden of the proposed LMI condition may be rather smaller than that of other existing LMI conditions.