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

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dc.creatorWei, Ping
dc.creatorGuan, Qiang
dc.creatorYu, Wensheng
dc.creatorWang, Long
dc.date2006-10-12
dc.date.accessioned2026-07-07T07:29:00Z
dc.date.available2026-07-07T07:29:00Z
dc.descriptionThis paper analyzes the eigenvalue distribution of neutral differential systems and the corresponding difference systems, and establishes the relationship between the eigenvalue distribution and delay-independent stability of neutral differential systems. By using the ``Complete Discrimination System for Polynomials", easily testable necessary and sufficient algebraic criteria for delay-independent stability of a class of neutral differential systems are established. The algebraic criteria generalize and unify the relevant results in the literature. Moreover, the maximal delay bound guaranteeing stability can be determined if the systems are not delay-independent stable. Some numerical examples are provided to illustrate the effectiveness of our results.
dc.description16 Pages
dc.identifierhttps://arxiv.org/abs/math/0610395
dc.identifierhttp://arxiv.org/abs/math/0610395
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117939
dc.subjectDynamical Systems
dc.subject39B02
dc.titleEasily Testable Necessary and Sufficient Algebraic Criteria for Delay-independent Stability of a Class of Neutral Differential Systems
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