Observability of general linear pairs
COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.39, ss.35-43, 2000 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 39
- Basım Tarihi: 2000
- Doi Numarası: 10.1016/s0898-1221(99)00311-9
- Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.35-43
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
In this work, we deal with the observability of a general linear pair (X, pi(K)) 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 pi(K) 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, pi(k)) We extend the well-known observability rank condition of linear control systems on R-n and generalize the results appearing in [1]. (C) 1999 Elsevier Science Ltd. All rights reserved.