Title :
A method for computing the interval of delay values for which a differential-delay system is stable
Author_Institution :
Sch. of Electr. Eng., Purdue Univ., West Lafayette, IN, USA
fDate :
12/1/1988 12:00:00 AM
Abstract :
A test for determining the interval of delay values for which delay-differential system is asymptotically stable is presented, i.e. an explicit method is given for calculating h*, such that, for 0⩽h⩽h*, a delay-differential system is stable where h is the delay length. Further, it is shown that the system is not asymptotically stable for h=h*. Both retarded and neutral systems are discussed
Keywords :
delays; stability; delay length; delay values; differential-delay system; neutral systems; retarded systems; stability; Asymptotic stability; Delay systems; Equations; Polynomials; System testing; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on