2D algebraic test for robust stability of interval time-delay systems

It is difficult to determine the robust stability of time-delay systems with interval parameters because the number of eigenvalues of the systems is infinite. To solve the problem of robust stability test of the systems, we develop a 2D algebraic test for stability of time-delay systems with an edge test set based on Kharitonov vertex polynomials. Constructing a 2D s-z hybrid polynomial with interval parameters based on the characteristic polynomial of given interval time-delay system, the robust stability of the edges of interval 2D polynomial can ensure the given interval delay system to be stable. Some complex Hurwitz-Schur test algorithms for the robust stability of 2D s-z hybrid interval polynomial are provided. Simulation for an example verifies the results of the paper to be correct.