Title :
Comment, with reply, on "Vertex implications of stability for a class of delay-differential interval system" by K.D. Kim and N.K. Bose
Author :
Olbrot, A.W. ; Polis, M.P. ; Igwe, C.
Author_Institution :
Dept. of Electr. & Comput. Eng., Wayne State Univ., Detroit, MI, USA
Abstract :
The commenters disagree with the claim by K.D. Kim and N.K. Bose (see ibid., vol.37, no.7, p.969-972, 1990) that for an important special case of delay-differential systems when the characteristic equation is describable by certain quasi-polynomials, the vertex implication for stability does hold. The commenters show that this claim is not true. What may be true is that the vertex implication holds for the very limited case of systems which are known as stable independent of delay. The authors´ reply is included.<>
Keywords :
delay-differential systems; stability; characteristic equation; delay; delay-differential systems; quasi-polynomials; stability; vertex implication; Circuits; Delay effects; Delay systems; Equations; H infinity control; Polynomials; Stability; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
