Hinfin norm and slow-fast decomposition of systems with small delay

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The problem of finding the Hinfin-norm of systems with a finite number of discrete delays and distributed delay is considered. Sufficient conditions for the system to possess an Hinfin-norm which is less or equal to a prescribed bound are obtained in terms of the Riccati partial differential equations (RPDE's). We show that the existence of the solution to the RPDE's is equivalent to the existence of the stable manifold of the associated Hamiltonian system. The main result of the paper is a derivation of algebraic finite-dimensional criterion for the solvability of RPDE's for systems with small time-delays. The result is based on slow-fast decomposition of the Hamiltonian system.

Original languageEnglish
Title of host publicationECC 1997 - European Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9783952426906
StatePublished - 8 Apr 1997
Event4th European Control Conference, ECC 1997 - Brussels, Belgium
Duration: 1 Jul 19974 Jul 1997

Publication series

NameECC 1997 - European Control Conference


Conference4th European Control Conference, ECC 1997


  • Delay systems
  • H-control
  • Linear systems


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