@inproceedings{2d12ab41ad62475489eb0823dba7803f,
title = "Hinfin norm and slow-fast decomposition of systems with small delay",
abstract = "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.",
keywords = "Delay systems, H-control, Linear systems",
author = "E. Fridman and U. Shaked",
year = "1997",
month = apr,
day = "8",
language = "אנגלית",
series = "ECC 1997 - European Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "896--901",
booktitle = "ECC 1997 - European Control Conference",
address = "ארצות הברית",
note = "4th European Control Conference, ECC 1997 ; Conference date: 01-07-1997 Through 04-07-1997",
}