Title :
Stability of fast periodic systems with time lags
Author :
Bentsman, Joseph ; Fakhfakh, Jamel ; Hvostov, Harry ; Lehman, Bradley
Author_Institution :
Illinois Univ., Urbana, IL, USA
fDate :
4/1/1989 12:00:00 AM
Abstract :
The stability criterion of R. Bellman et al. (1985) for fast periodic linear systems is extended to systems with time delays. Applying the results of J. Hale (1966), the asymptotic stability criterion for a class of time-lag systems is derived. A comparison to a nondelay case is made, and it is demonstrated that small delays can significantly affect the stability properties of this class of systems
Keywords :
delays; linear systems; stability; asymptotic stability; fast periodic systems; stability criterion; time delays; time lags; Asymptotic stability; Delay effects; Delay estimation; Delay lines; Delay systems; Differential equations; Feedback; Linear systems; Polynomials; Stability criteria;
Journal_Title :
Automatic Control, IEEE Transactions on