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

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Ping Wei, Qiang Guan, Wensheng Yu, Long Wang

Dynamical Systems · Submitted 12 Oct 2006

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

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arXiv IDmath/0610395 (version 1)
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CitationLong Wang, Ping Wei, Qiang Guan, Wensheng Yu. "Easily Testable Necessary and Sufficient Algebraic Criteria for Delay-independent Stability of a Class of Neutral Differential Systems." arXiv:math/0610395 (2006). https://pith.science/paper/EJKREB3Y
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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.33 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.24 · compares with prior results 0.75 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; .

This 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.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 This 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. contribution 0.93 0.91 0.15 asserted 1.00
s1 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. contribution 0.69 0.95 0.81 asserted 1.00
s2 The algebraic criteria generalize and unify the relevant results in the literature. contribution 0.46 0.82 0.14 asserted 1.00
s3 Moreover, the maximal delay bound guaranteeing stability can be determined if the systems are not delay-independent stable. result 0.89 0.88 0.10 asserted 0.83
s4 Some numerical examples are provided to illustrate the effectiveness of our results. contribution 0.47 0.92 0.03 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 1.00.

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Original abstract

This 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.

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