TY - GEN
T1 - Asymptotic behavior of a reduced conjunctive Boolean network
AU - Chen, Xudong
AU - Gao, Zuguang
AU - Basar, Tamer
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/6/28
Y1 - 2017/6/28
N2 - A conjunctive Boolean network (CBN) is a discrete-time finite state dynamical system, whose variables take values from a binary set, and the value update rule for each variable is a Boolean function consisting only of logic AND operations. Since a CBN is a finite state dynamical system, every trajectory generated by the system will enter a periodic orbit. We characterize in this paper the asymptotic behavior of a special class of weakly connected CBNs where the strongly connected components of their dependency graphs are all cycles of positive lengths. Given an initial condition of such a CBN, we characterize a periodic orbit which the system enters with the given initial condition.
AB - A conjunctive Boolean network (CBN) is a discrete-time finite state dynamical system, whose variables take values from a binary set, and the value update rule for each variable is a Boolean function consisting only of logic AND operations. Since a CBN is a finite state dynamical system, every trajectory generated by the system will enter a periodic orbit. We characterize in this paper the asymptotic behavior of a special class of weakly connected CBNs where the strongly connected components of their dependency graphs are all cycles of positive lengths. Given an initial condition of such a CBN, we characterize a periodic orbit which the system enters with the given initial condition.
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U2 - 10.1109/CDC.2017.8264308
DO - 10.1109/CDC.2017.8264308
M3 - Conference contribution
AN - SCOPUS:85046145339
T3 - 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
SP - 4404
EP - 4409
BT - 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 56th IEEE Annual Conference on Decision and Control, CDC 2017
Y2 - 12 December 2017 through 15 December 2017
ER -