DocumentCode :
459067
Title :
Invariance Properties in the Dynamics of Positive Linear Systems
Author :
Pastravanu, Octavian ; Matcovschi, Mihaela-Hanako
Author_Institution :
Dept. of Autom. Control & Appl. Informatics, Tech. Univ. Gh. Asachi, Iasi
Volume :
1
fYear :
2006
fDate :
25-28 May 2006
Firstpage :
27
Lastpage :
31
Abstract :
The paper explores the dynamics of asymptotically stable positive linear systems, with arbitrary initial conditions and constant input signals. We study both discrete- and continuous-time cases. We prove the existence of time-dependent invariant sets, defined in terms of Holder p-norms, with 1 les p les infin. Our results allow refining the qualitative analysis of positive linear systems. The investigated invariance properties are not generally valid for asymptotically stable linear systems, in the absence of the positivity condition
Keywords :
asymptotic stability; continuous time systems; discrete time systems; invariance; linear systems; Holder p-norms; continuous-time cases; discrete-time cases; invariance properties; positive linear systems; time-dependent invariant sets; Asymptotic stability; Eigenvalues and eigenfunctions; Informatics; Linear matrix inequalities; Linear systems; Sufficient conditions; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Automation, Quality and Testing, Robotics, 2006 IEEE International Conference on
Conference_Location :
Cluj-Napoca
Print_ISBN :
1-4244-0360-X
Electronic_ISBN :
1-4244-0361-8
Type :
conf
DOI :
10.1109/AQTR.2006.254491
Filename :
4022813
Link To Document :
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