✦ LIBER ✦

Observability of general linear pairs

✍ Scribed by V. Ayala; A. Hacibekiroglu; E. Kizil

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 477 KB
Volume: 39
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(99)00311-9

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✦ Synopsis

In this work, we deal with the observability of a general linear pair (X, IrK) on G which is a connected Lie group with Lie algebra g. By definition, the vector field X belongs to the normalizer of g related to the Lie algebra of all smooth vector fields on G. K is a closed Lie subgroup of G and irk is the canonical projection of G onto the homogeneous space G/K. We compute the Lie algebra of the equivalence class of the identity element, and characterize local and global observability of (X, 7r~). We extend the well-known observability rank condition of linear control systems on R n and generalize the results appearing in [1]. (~) 1999 Elsevier Science Ltd. All rights reserved.

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