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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2025 Volume 65, Number 12, Pages 2891–2898 (Mi zvmmf12113)

Papers published in the English version of the journal

A computable stability criterion for linear delay difference systems

Guang-Da Hu

Department of Mathematics, Shanghai University, 200444, Shanghai, China

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.

Key words: delay-dependent stability, delay difference systems, bounds of the eigenvalues, argument principle.

Received: 05.10.2024
Revised: 05.10.2024
Accepted: 27.01.2026

Language: English


 English version:
Computational Mathematics and Mathematical Physics, 2025, 65:12, 2891–2898


© Steklov Math. Inst. of RAS, 2026