Simple algebraic criteria for stability of neutral delay-differential systems

• Published in: Journal of the Franklin Institute Vol. 342; no. 3; pp. 311 - 320
• Main Authors: Cao, D.Q., He, Ping, Ge, Y.M.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01-05-2005; Elsevier
• Subjects: Algebraic criteria; Applied sciences; Asymptotic stability; Computer science; control theory; systems; Control theory. Systems; Exact sciences and technology; Neutral systems; Spectral radius; System theory; Asymptotic stability; Algebraic criteria; Neutral systems; Spectral radius; Neutral system; Linear algebra; Algebraic equation; Characteristic equation; Linear stability; Delay system; Stability criterion
• ISSN: 0016-0032; 1879-2693
• DOI: 10.1016/j.jfranklin.2004.11.007

The asymptotic stability of linear neutral systems with a single delay is investigated in this article. Based on the characteristic equation, new algebraic criteria for the stability of the system are derived in terms of the spectral radius of corresponding modulus matrices. The significance of our new criteria is that it takes into consideration the structure information of the system matrices, thus reducing the conservatism found in the literature. Numerical examples are given to demonstrate the new stability criteria and to compare them with the previous results in the literature.