Time: 9h00, Tuesday, June 30, 2020

Location: Room 512, Building A6, Institute of Mathematics

Abstract: This paper provides a LMI-based approach based on singular value decomposition method combining with augmented Lyapunov–Krasovskii functionals to studying finite-time stability problem for linear singular large-scale delay systems with interconnected delays. In this proposed approach, delay-dependent sufficient conditions for finite-time stability are established in terms of linear matrix inequalities (LMIs), which can be easily implemented by using standard numerical algorithms. Our conditions guarantee the regularity, impulse-free and finite-time stability of the system. A numerical example is given to illustrate the effectiveness of the proposed method.