TY - JOUR
T1 - Insensitivity of a Class of Nonlinear Compartmental Systems to the Introduction of Arbitrary Time Delays
AU - Lewis, Richard M.
AU - Anderson, Brian D.O.
PY - 1980/7
Y1 - 1980/7
N2 - We examine a class of nonlinear compartmental systems and show that the introduction of arbitrary time delays including nonconstant ones, in the action of one compartment on another, does not affect system properties such as stability, boundedness, and positivity. The results arise from a combination of techniques introduced separately for the studies of linear time-delay systems and nonlinear systems without delay and are directly testable. Some examples and estimates for the degree of stability are given.
AB - We examine a class of nonlinear compartmental systems and show that the introduction of arbitrary time delays including nonconstant ones, in the action of one compartment on another, does not affect system properties such as stability, boundedness, and positivity. The results arise from a combination of techniques introduced separately for the studies of linear time-delay systems and nonlinear systems without delay and are directly testable. Some examples and estimates for the degree of stability are given.
UR - http://www.scopus.com/inward/record.url?scp=0019043723&partnerID=8YFLogxK
U2 - 10.1109/TCS.1980.1084867
DO - 10.1109/TCS.1980.1084867
M3 - Article
AN - SCOPUS:0019043723
SN - 0098-4094
VL - 27
SP - 604
EP - 612
JO - IEEE Transactions on Circuits and Systems
JF - IEEE Transactions on Circuits and Systems
IS - 7
ER -