S-Variable Approach to Finite-Time Stabilization via State Feedback Synthesis For Linear Systems

This paper investigates the synthesis of less conservative conditions for finite-time stabilization of linear continuous time-invariant systems. For this purpose, we tackle the problem with a S-Variable approach. The latter approach is widely used in the context of robust stability. It had recognized a great sucks in the community of automatic. The design conditions are expressed as linear matrix inequalities (LMIs). They will be called SV-LMIs (S-Variable linear matrix inequalities). A numerical example is provided to show the validity of the proposed approach in the context of finite-time stability.