March 3, 2026

A Computable Stability Criterion for Linear Delay Difference Systems

Key Points

The findings reveal a computable stability criterion for linear delay difference systems.
Key metrics include upper bounds of eigenvalues derived from spectral radius and parameter matrix norms.
Analysis focuses on delay-dependent stability in continuous time systems, demonstrating novel insights.
These results improve previous findings in the literature, enhancing understanding of system stability.

Abstract

The delay-dependent stability of linear delay difference systems with continuous time is investigated. Two upper bounds of the eigenvalues of the difference systems are derived. They are based on the spectral radius and the norms of the parameter matrices, respectively. A computable stability criterion is presented for the delay-dependent stability of the difference systems. The main results of this paper improve those in the literature.

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Cite This Study

Guang-Da Hu (Mon,) studied this question.

synapsesocial.com/papers/69a75aa8c6e9836116a20c16 https://doi.org/https://doi.org/10.1134/s0965542525701647

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