On the Exponential Admissibility of Singular Systems With Multiply Variable Delays

Abstract

We investigate exponential admissibility of singular systems with multiply variable delays. We give new criteria such that the systems are regular, impulse-free (IF) and exponentially stable (ES). The techniques of the proofs are based on the Lyapunov-Krasovskiĭ functional (LKF), convex polyhedron methods and linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the obtained results. Using MATLAB-Simulink software, the trajectories of the solutions are provided. This study generalizes and improves certain results in the present literature. © Palestine Polytechnic University-PPU 2023.