Title :
Stability of x(t)=Ax(t)+Bx (t-τ)
Author :
Mori, T. ; Kokame, H.
Author_Institution :
Autom. Res. Lab., Kyoto Univ., Japan
fDate :
4/1/1989 12:00:00 AM
Abstract :
A stability criterion for linear time-delay systems described by a differential difference equation of the form dx(t)=Ax(t)+Bx(t -τ) is proposed. The result obtained includes information on the size of the delay and therefore can be a delay-dependent stability condition. Its relation to existing delay-independent stability criteria is also discussed
Keywords :
delays; differential equations; linear systems; stability criteria; delay-dependent stability; differential difference equation; linear time-delay systems; stability criterion; Automation; Delay; Difference equations; Differential equations; Eigenvalues and eigenfunctions; Laboratories; Linear matrix inequalities; Magnetooptic recording; Stability criteria; Testing;
Journal_Title :
Automatic Control, IEEE Transactions on
