On the L2 Gain of 2D Mixed Continuous-Discrete-Time Systems via Complex LFR and Lyapunov Functions

摘要

This paper addresses the problem of establishing upper bounds of the L2 gain of 2D mixed continuous-discrete-time systems. A novel linear matrix inequality condition is proposed based on the introduction of a complex linear fractional representation of the systems and on the use of complex Lyapunov functions depending rationally on a parameter. As shown by an illustrative example, the computational burden of the proposed condition may be rather smaller than existing conditions.