TY - JOUR
T1 - Drazin inverse conditions for positivity and stability of switched descriptor systems
AU - Ding, Xiuyong
AU - Zhai, Guisheng
AU - Liu, Xiu
N1 - Funding Information:
This work was supported by the Foundation of National Nature Science of China (grant no. 11801471 and no. 61473239) and Fundamental Research Funds for the Central Universities (grant no. 2682016CX117).
Publisher Copyright:
© The Institution of Engineering and Technology 2019.
PY - 2019/10/15
Y1 - 2019/10/15
N2 - This study provides an alternative approach to stability analysis of positive switched descriptor systems (SDSs). First, by introducing a Drazin-inverse-based projector which takes a simpler form than the traditional matrix-decomposition-based ones, the state consistency of SDSs is guaranteed. Then, regarding the fact that SDSs may not be positive even if all individual subsystems are positive, two different definitions of positivity are introduced and a complete characterisation is provided. The stability issue is also addressed and two checkable approaches are proposed, which are formulated as a set of linear matrix inequality problems and linear programming problems, respectively.
AB - This study provides an alternative approach to stability analysis of positive switched descriptor systems (SDSs). First, by introducing a Drazin-inverse-based projector which takes a simpler form than the traditional matrix-decomposition-based ones, the state consistency of SDSs is guaranteed. Then, regarding the fact that SDSs may not be positive even if all individual subsystems are positive, two different definitions of positivity are introduced and a complete characterisation is provided. The stability issue is also addressed and two checkable approaches are proposed, which are formulated as a set of linear matrix inequality problems and linear programming problems, respectively.
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U2 - 10.1049/iet-cta.2018.5253
DO - 10.1049/iet-cta.2018.5253
M3 - Article
AN - SCOPUS:85073116110
SN - 1751-8644
VL - 13
SP - 2447
EP - 2454
JO - IET Control Theory and Applications
JF - IET Control Theory and Applications
IS - 15
ER -