Controller Design for the Finite-Time Stabilization of IDLSs

Finite-time stabilization of IDLSs is tackled in this chapter. The D/DLMI feasibility problems introduced in Chap. 7 will be here exploited to derive necessary and sufficient conditions for finite-time stabilization of TD-IDLSs, while only sufficient conditions will be given in the case of SD-IDLSs. In the conclusion section, we will show, by means of some examples, how to extend the presented results to the more general case of time-dependent SLSs.