TY - JOUR
T1 - Input–output gain analysis of positive periodic systems
AU - Zhu, Bohao
AU - Lam, James
AU - Ebihara, Yoshio
N1 - Funding Information:
information Research Grants Council, General Research Fund, 17201820This work was partially supported by the General Research Fund (GRF) under Grant 17201820.
Funding Information:
Research Grants Council, General Research Fund, 17201820 Funding information
Funding Information:
This work was partially supported by the General Research Fund (GRF) under Grant 17201820.
Publisher Copyright:
© 2021 John Wiley & Sons, Ltd.
PY - 2021/5/25
Y1 - 2021/5/25
N2 - This paper investigates the input-output gains, including ℓ1- and ℓ∞-gains and L1- and L∞-gains, of discrete-time and continuous-time positive periodic systems. For the discrete-time case, the input–output gain can be characterized by linear inequalities. For the continuous-time case, the input–output gain characterization problem turns into the existence problem of a positive periodic vector function. Based on some necessary and sufficient input–output gain conditions, we find the ℓ1- (L1-) gain of discrete-time (continuous-time) positive periodic systems is equivalent to the of ℓ∞- (L∞-) gain of the associated dual systems. Finally, two numerical examples are given to illustrate the results.
AB - This paper investigates the input-output gains, including ℓ1- and ℓ∞-gains and L1- and L∞-gains, of discrete-time and continuous-time positive periodic systems. For the discrete-time case, the input–output gain can be characterized by linear inequalities. For the continuous-time case, the input–output gain characterization problem turns into the existence problem of a positive periodic vector function. Based on some necessary and sufficient input–output gain conditions, we find the ℓ1- (L1-) gain of discrete-time (continuous-time) positive periodic systems is equivalent to the of ℓ∞- (L∞-) gain of the associated dual systems. Finally, two numerical examples are given to illustrate the results.
UR - http://www.scopus.com/inward/record.url?scp=85101054305&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85101054305&partnerID=8YFLogxK
U2 - 10.1002/rnc.5438
DO - 10.1002/rnc.5438
M3 - Article
AN - SCOPUS:85101054305
SN - 1049-8923
VL - 31
SP - 2928
EP - 2945
JO - International Journal of Robust and Nonlinear Control
JF - International Journal of Robust and Nonlinear Control
IS - 8
ER -