Title :
An algebraic test for asymptotic stability of delay differential systems with commensurate delays
Author :
Foda, S.G. ; Agathoklis, P.
Author_Institution :
Dept. of Electr. Eng., Ryerson Polytech. Inst., Toronto, Ont., Canada
Abstract :
An algebraic test for asymptotic stability independent of delay for delay differential systems is presented. The test is developed using the Kronecker product formulation of the frequency dependent Lyapunov equation for delay differential systems. Sufficient conditions for asymptotic stability independent of delay are shown to be equivalent to testing the eigenvalues of a set of constant matrices. Numerical aspects of the algorithms are also discussed
Keywords :
delays; eigenvalues and eigenfunctions; matrix algebra; stability; Kronecker product formulation; algebraic test; asymptotic stability; commensurate delays; constant matrices; delay differential systems; eigenvalues; frequency dependent Lyapunov equation; Asymptotic stability; Delay systems; Differential algebraic equations; Differential equations; Eigenvalues and eigenfunctions; Frequency dependence; Polynomials; State-space methods; Sufficient conditions; System testing;
Conference_Titel :
Communications, Computers and Signal Processing, 1991., IEEE Pacific Rim Conference on
Conference_Location :
Victoria, BC
Print_ISBN :
0-87942-638-1
DOI :
10.1109/PACRIM.1991.160763
