Skip to Main content Skip to Navigation
Journal articles

A unified approach for the $H_\infty$-stability analysis of classical and fractional neutral systems with commensurate delays

Le Ha Vy Nguyen 1
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
Abstract : We examine the stability of linear integer-order and fractional-order systems with commensurate delays of neutral type in the sense of $H_\infty$-stability. The systems may have chains of poles approaching the imaginary axis. While several classes of these systems have been previously studied on a case-by-case basis, a unified method is proposed in this paper which allows to deal with all these classes at the same time. Approximation of poles of large modulus is systematically calculated based on a convex hull derived from the coefficients of the system. This convex hull also serves to establish sufficient conditions for instability and necessary and sufficient conditions for stability.
Complete list of metadatas

Cited literature [24 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01679070
Contributor : Le Ha Vy Nguyen <>
Submitted on : Tuesday, January 9, 2018 - 4:47:53 PM
Last modification on : Wednesday, April 8, 2020 - 4:06:30 PM
Document(s) archivé(s) le : Thursday, May 3, 2018 - 3:04:04 PM

File

SICON_2016_final_format.pdf
Files produced by the author(s)

Identifiers

Citation

Le Ha Vy Nguyen. A unified approach for the $H_\infty$-stability analysis of classical and fractional neutral systems with commensurate delays. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2018, 56 (1), pp.538-555. ⟨10.1137/16m1101271⟩. ⟨hal-01679070⟩

Share

Metrics

Record views

353

Files downloads

361