TY - GEN
T1 - A Subtle Link in Switched Dynamical Systems
T2 - IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005
AU - Ma, Yue
AU - Tse, Chi K.
AU - Kousaka, Takuji
AU - Kawakami, Hiroshi
PY - 2005/5
Y1 - 2005/5
N2 - Switched dynamical systems are known to exhibit border collision, in which a particular operation is terminated and a new operation is assumed as one or more parameters are varied. In this paper, we report a subtle relation between border collision and saddle-node bifurcation in such systems. Our main finding is that the border collision and the saddle-node bifurcation are actually linked together by unstable solutions which have been generated from the same saddle-node bifurcation. Since unstable solutions are not observable directly, such a subtle relation has not been known. In this paper, we describe an effective method to track solutions regardless of their stability, allowing the subtle phenomenon to be uncovered. Two typical DC-DC converters are observed to verify our finding. © 2005 IEEE.
AB - Switched dynamical systems are known to exhibit border collision, in which a particular operation is terminated and a new operation is assumed as one or more parameters are varied. In this paper, we report a subtle relation between border collision and saddle-node bifurcation in such systems. Our main finding is that the border collision and the saddle-node bifurcation are actually linked together by unstable solutions which have been generated from the same saddle-node bifurcation. Since unstable solutions are not observable directly, such a subtle relation has not been known. In this paper, we describe an effective method to track solutions regardless of their stability, allowing the subtle phenomenon to be uncovered. Two typical DC-DC converters are observed to verify our finding. © 2005 IEEE.
UR - https://www.scopus.com/pages/publications/67649105723
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-67649105723&origin=recordpage
U2 - 10.1109/ISCAS.2005.1466019
DO - 10.1109/ISCAS.2005.1466019
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 0780388348
T3 - Proceedings - IEEE International Symposium on Circuits and Systems
SP - 6050
EP - 6053
BT - Proceedings - IEEE International Symposium on Circuits and Systems
Y2 - 23 May 2005 through 26 May 2005
ER -