On H∞ and H2 Performance of 2D Systems *

In this paper we consider parameterized Lyapunov inequalities arising in H∞ and H2 performance evaluation for continuous-discrete 2D systems. A way of transforming these problems is presented that significantly reduces computational complexity compared to known methods. The H∞ performance evaluation method can have varying degrees of conservativeness, while H2 performance evaluation is exact. Numerical examples are provided.