Title :
Slowly varying linear functional differential equations
Author :
Shanholt, Gerald A.
Author_Institution :
Bell Telephone Laboratories Inc., Whippany, NJ, USA
fDate :
2/1/1972 12:00:00 AM
Abstract :
Several authors have studied the stability behavior of slowly varying linear systems of ordinary differential equations. These studies have yielded a sufficient condition for uniform exponential stability. In this work this result is extended to slowly varying linear functional differential equations.
Keywords :
Linear systems, time-varying continuous-time; Stability; Calculus; Control system synthesis; Control systems; Cost function; Degradation; Differential equations; Linear systems; Optimal control; Process control; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1972.1099856