Conic Sector Based Stability Criteria for Time-Delay Systems

Conference Paper

A novel way to establish conic bounds for stable linear time-invariant (LTI) systems with time-varying state delays is proposed. Two linear matrix inequality (LMI) conditions are provided. Alone, they can be used as analysis tools, determining conic bounds for LTI systems subject to bounded, time-varying state delays. Combined with the Conic Sector Theorem, the conic bounds established by the proposed LMIs can be used directly to design conic controllers, ensuring the closed-loop input-output stability.

Full Text

Duke Authors

Cited Authors

  • Gong, Z; Bridgeman, LJ

Published Date

  • January 1, 2021

Published In

Volume / Issue

  • 2021-December /

Start / End Page

  • 4762 - 4767

Electronic International Standard Serial Number (EISSN)

  • 2576-2370

International Standard Serial Number (ISSN)

  • 0743-1546

International Standard Book Number 13 (ISBN-13)

  • 9781665436595

Digital Object Identifier (DOI)

  • 10.1109/CDC45484.2021.9683127

Citation Source

  • Scopus