TY - GEN
T1 - Design of Periodic Stabilizing Switching Signals for Compartmental Switched Systems
AU - Zheng, Jianying
AU - Dong, Jiu Gang
AU - Xie, Lihua
AU - Hu, Qinglei
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/10/9
Y1 - 2020/10/9
N2 - We investigate the design of periodic stabilizing switching signals for compartmental switched systems in both the continuous-time and discrete-time framework. For a continuous-time compartmental switched system, we fully characterize the class of periodic stabilizing switching signals. Specifically, a periodic switching signal is stabilizing if and only if the sum of the subsystem matrices appearing during one period is Hurwitz. For the discrete-time counterpart, we point out that the zero/nonzero structure of the diagonal elements of the subsystem matrices is vital in the design of periodic stabilizing switching signals. To be specific, when all the diagonal elements of the subsystem matrices are positive, a periodic switching signal is stabilizing if and only if the average of the subsystem matrices appearing during one period is Schur. Such a result may not hold when zero appears in some diagonal positions of some subsystem matrices.
AB - We investigate the design of periodic stabilizing switching signals for compartmental switched systems in both the continuous-time and discrete-time framework. For a continuous-time compartmental switched system, we fully characterize the class of periodic stabilizing switching signals. Specifically, a periodic switching signal is stabilizing if and only if the sum of the subsystem matrices appearing during one period is Hurwitz. For the discrete-time counterpart, we point out that the zero/nonzero structure of the diagonal elements of the subsystem matrices is vital in the design of periodic stabilizing switching signals. To be specific, when all the diagonal elements of the subsystem matrices are positive, a periodic switching signal is stabilizing if and only if the average of the subsystem matrices appearing during one period is Schur. Such a result may not hold when zero appears in some diagonal positions of some subsystem matrices.
UR - https://www.scopus.com/pages/publications/85098048163
U2 - 10.1109/ICCA51439.2020.9264475
DO - 10.1109/ICCA51439.2020.9264475
M3 - 会议稿件
AN - SCOPUS:85098048163
T3 - IEEE International Conference on Control and Automation, ICCA
SP - 59
EP - 64
BT - 2020 IEEE 16th International Conference on Control and Automation, ICCA 2020
PB - IEEE Computer Society
T2 - 16th IEEE International Conference on Control and Automation, ICCA 2020
Y2 - 9 October 2020 through 11 October 2020
ER -