Paper Info
Title
The extended periodic lyapunov lemma
Abstract
In this paper, the so-called Lyapunov lemma for linear systems with periodically time-varying coefficients is dealt with. By this lemma, the asymptotic stability of a given periodic system is linked with the existence of a periodic positive definite solution of the associated Lyapunov equation, under the assumption on the system being observable. By relaxing the observability assumption to detectability, an extended version of the lemma is obtained, where the system stability is linked with the existence of a periodic positive semidefinite solution of the Lyapunov equation.
Year
DOI
Venue
1985
10.1016/0005-1098(85)90009-3
Automatica
Keywords
DocType
Volume
Linear systems,periodic systems,stability criteria,Lyapunov equation
Journal
21
Issue
ISSN
Citations 
5
0005-1098
12
PageRank 
References 
Authors
3.87
0
3
Name
Order
Citations
PageRank
S. Bittanti114924.75
Paolo Bolzern230430.90
Patrizio Colaneri395090.11