TY - JOUR
T1 - A general stability test for switched positive systems based on a multidimensional system analysis
AU - Alonso, Hugo
AU - Rocha, Paula
PY - 2010/11
Y1 - 2010/11
N2 - The main goal of this technical note is to present a new sufficient condition for the stability of switched positive linear systems. This condition is general in two senses. First of all, because it applies to switching systems of order n composed of k subsystems, for any n and k. Secondly, because it applies to both discrete- and continuous-time systems. Furthermore, it is easy to verify, as it amounts to check for the stability of a certain matrix. The new condition is derived from a multidimensional system analysis, where the relation between the stability of multidimensional and switched systems is investigated. A comparison with other existing tests is also presented, showing that the one proposed here allows to infer about the stability of a system in cases where other tests fail or do not apply at all.
AB - The main goal of this technical note is to present a new sufficient condition for the stability of switched positive linear systems. This condition is general in two senses. First of all, because it applies to switching systems of order n composed of k subsystems, for any n and k. Secondly, because it applies to both discrete- and continuous-time systems. Furthermore, it is easy to verify, as it amounts to check for the stability of a certain matrix. The new condition is derived from a multidimensional system analysis, where the relation between the stability of multidimensional and switched systems is investigated. A comparison with other existing tests is also presented, showing that the one proposed here allows to infer about the stability of a system in cases where other tests fail or do not apply at all.
KW - Multidimensional systems
KW - positive linear systems
KW - stability
KW - switched systems
UR - http://www.scopus.com/inward/record.url?scp=78149242695&partnerID=8YFLogxK
U2 - 10.1109/TAC.2010.2070730
DO - 10.1109/TAC.2010.2070730
M3 - Article
AN - SCOPUS:78149242695
SN - 0018-9286
VL - 55
SP - 2660
EP - 2664
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 11
M1 - 5559338
ER -