Stability Analysis of Linear Systems with Time-Varying Delay via Generalized Augmented Intermediate Polynomial-Based Functions

This paper focuses on the stability problem of linear systems with time-varying delay. Generalized augmented intermediate polynomial-based functions (GAIPFs) with adjustable parameters are proposed. In virtue of GAIPFs, suitable Lyapunov-Krasovskii functionals (LKFs) are constructed. Using the newly proposed LKFs and cubic polynomial negative definiteness condition (NDC), a feasible dealy-dependent stability criterion is established and a well-known example is presented to illustrate its superiority.