CRITERIA FOR UNSAFE AND SAFE BOUNDARIES OF THE STABILITY DOMAIN FOR EQUATIONS WITH DELAY

Using the results of [1-5], criteria are obtained for unsafe and safe segments of the boundaries of the stability domain (BSD) for equilibri um states of first-order equations with delay and systems of second-or der equations with delay corresponding to a zero root and a pair of pu re imaginary roots. It is shown for an oscillator with delay, unlike o ne without, that the BSD for its equilibrium state might be unsafe. (C ) 1997 Elsevier Science Ltd. All rights reserved.