Easily Testable Necessary and Sufficient Algebraic Criteria for Delay-independent Stability of a Class of Neutral Differential Systems

摘要

This paper analyzes the eigenvalue distribution of neutral differentialsystems and the corresponding difference systems, and establishes therelationship between the eigenvalue distribution and delay-independentstability of neutral differential systems. By using the ``CompleteDiscrimination System for Polynomials", easily testable necessary andsufficient algebraic criteria for delay-independent stability of a class ofneutral differential systems are established. The algebraic criteria generalizeand unify the relevant results in the literature. Moreover, the maximal delaybound guaranteeing stability can be determined if the systems are notdelay-independent stable. Some numerical examples are provided to illustratethe effectiveness of our results.