### H-infinity Synthesis for Multi-Rate Hybrid Systems

- S. Lall and G. Dullerud.
- Proceedings of the IEEE Conference on Decision and Control, p. 2035--2040, 1997.

In this paper we present new techniques for the solution of the multi-rate sampled-data H-infinity synthesis problem. This makes use of the mathematical tools developed in previous work.. Necessary and sufficient conditions are given for the solution, and the problem is shown to be equivalent to a finite dimensional convex optimisation problem expressed in the form of linear matrix inequalities, for which standard numerical software is available.