Title :
The asymptotic stability of linear autonomous systems with commensurate time delays
Author_Institution :
Mil. Integrated Commun. Command, Panchiao, Taiwan
fDate :
6/1/1995 12:00:00 AM
Abstract :
The asymptotic stability of linear systems with commensurate time delays is studied. Algorithms are given to check if a given system is asymptotically stable independent of delay or to determine the largest delay time the system can tolerate to preserve its asymptotic stability. These algorithms are simple to apply since they require only to find the eigenvalues of two specially constructed matrices and some simple mathematical calculations
Keywords :
asymptotic stability; delay systems; delays; eigenvalues and eigenfunctions; asymptotic stability; commensurate time delays; eigenvalues; linear autonomous systems; Asymptotic stability; Control systems; Delay effects; Delay systems; Eigenvalues and eigenfunctions; Linear systems; Polynomials; Stability criteria; Sufficient conditions; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
