TY - JOUR
T1 - A new method for computing delay margins for stability of linear delay systems
AU - Chen, Jie
AU - Gu, Guoxiang
AU - Nett, Carl N.
PY - 1995/9/22
Y1 - 1995/9/22
N2 - This note is concerned with stability properties of linear time-invariant delay systems. We consider delay systems of retarded type modeled both as a high order scalar differential-difference equation and as a set of first order differential-difference equations expressed in state space form. We provide a computational method that can be used to compute a delay interval such that the system under consideration is stable for all delay values that lie in the computed interval. This method requires computing only the eigenvalues and generalized eigenvalues of certain constant matrices and it can be implemented efficiently. Based on this method, we further state a simple necessary and sufficient condition concerning stability independent of delay for each of the two types of the models. © 1995.
AB - This note is concerned with stability properties of linear time-invariant delay systems. We consider delay systems of retarded type modeled both as a high order scalar differential-difference equation and as a set of first order differential-difference equations expressed in state space form. We provide a computational method that can be used to compute a delay interval such that the system under consideration is stable for all delay values that lie in the computed interval. This method requires computing only the eigenvalues and generalized eigenvalues of certain constant matrices and it can be implemented efficiently. Based on this method, we further state a simple necessary and sufficient condition concerning stability independent of delay for each of the two types of the models. © 1995.
KW - Delay margins
KW - Generalized eigenvalues
KW - Linear delay systems
KW - Retarded systems
KW - Stability independent of delay
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U2 - 10.1016/0167-6911(94)00111-8
DO - 10.1016/0167-6911(94)00111-8
M3 - RGC 21 - Publication in refereed journal
VL - 26
SP - 107
EP - 117
JO - Systems and Control Letters
JF - Systems and Control Letters
SN - 0167-6911
IS - 2
ER -