Mathematics, Vol. 11, Pages 1574: Robust (Q,S,R)-γ-Dissipative and H2 Performances for Switched Systems with Mixed Time Delays

Mathematics, Vol. 11, Pages 1574: Robust (Q,S,R)-γ-Dissipative and H2 Performances for Switched Systems with Mixed Time Delays

Mathematics doi: 10.3390/math11071574

Authors: Yu Lien Chang Ku Vaidyanathan Yu Li Hou

This paper investigates the switching on switching rule and sampling input to guarantee (Q,S,R)-γ-dissipative and H2 performances for switched systems with mixed time delays. Synchronous switching can be used to overcome the difficulty in implementation of real-time switching for signals and sampling. The design of sampling input under arbitrary switching for a switched system is also considered in this paper. A new proposal for a full matrix formulation approach and inequality are applied to achieve the main results. Finally, some numerical examples are illustrated to show the efficiency of the main contribution.