TY - JOUR
T1 - Drazin inverse conditions for stability of positive singular systems
AU - Ding, Xiuyong
AU - Zhai, Guisheng
PY - 2020/9
Y1 - 2020/9
N2 - In this paper, positive singular systems in both continuous and discrete cases are addressed, and a complete characterization for stability is provided. First, it is shown that positive singular systems can be stable for a non-negative initial condition. The presented stability criteria are necessary and sufficient, and can be checked by means of linear matrix inequality (LMI) or linear programming (LP). Further, we generalize the Lyapunov stability theory for positive singular systems.
AB - In this paper, positive singular systems in both continuous and discrete cases are addressed, and a complete characterization for stability is provided. First, it is shown that positive singular systems can be stable for a non-negative initial condition. The presented stability criteria are necessary and sufficient, and can be checked by means of linear matrix inequality (LMI) or linear programming (LP). Further, we generalize the Lyapunov stability theory for positive singular systems.
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U2 - 10.1016/j.jfranklin.2020.04.035
DO - 10.1016/j.jfranklin.2020.04.035
M3 - Article
AN - SCOPUS:85089297412
SN - 0016-0032
VL - 357
SP - 9853
EP - 9870
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
IS - 14
ER -