Finite-time stabilization for a class of uncertain continuous time systems with time-varying delay

For finite-time stability, it's extremely difficult to design feedback controller based on analysis result which contains double integral in the Lyapunov-Krasovskii-like functional. The conditions obtained by using conventional techniques contain bilinear items and can't be calculated effectively. This paper proposes a general procedure to address this issue by introducing a set of original LMIs to deal with the eigenvalue problem and using projection lemma to decouple decision variables. An example is given to illustrate the effectiveness of the proposed method.