Algebraic stability criteria of linear neutral systems with multiple time delays

摘要

The asymptotic stability of linear neutral systems with multiple time delays is investigated in this paper. Based on the characteristic equation of the system, simple delay-independent stability criteria are derived in terms of the spectral radius of modulus matrices. The conditions of the new stability criteria are easy to check via Routh–Hurwitz and Schur–Cohn criteria. Numerical examples are given to illustrate our main criteria.