Bounded real criteria for linear time-delay systems

U. Shaked, I. Yaesh, C. E. De Souza

Research output: Contribution to journalArticlepeer-review


This paper considers the problem of finding the H-norm of a linear time-varying system having a delayed state and with an output that comprises a linear combination of the "current" state as well as of the "delayed" state. Both delay-independent and delay-dependent bounded real criteria are derived which provide sufficient conditions for the system to possess an H-norm which is less than or equal to a prescribed bound. The stationary case for time-invariant systems is also tackled, and in this situation the proposed bounded real criteria are given in terms of linear matrix inequalities. Two examples are presented which compare the guaranteed bounds that are achieved by our results with the actual H-norm of the system.

Original languageEnglish
Pages (from-to)1016-1022
Number of pages7
JournalIEEE Transactions on Automatic Control
Issue number7
StatePublished - 1998


  • Bounded real lemma
  • H
  • Time-delay systems


Dive into the research topics of 'Bounded real criteria for linear time-delay systems'. Together they form a unique fingerprint.

Cite this