DocumentCode
3427964
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
fYear
1991
fDate
9-10 May 1991
Firstpage
406
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Communications, Computers and Signal Processing, 1991., IEEE Pacific Rim Conference on
Conference_Location
Victoria, BC
Print_ISBN
0-87942-638-1
Type
conf
DOI
10.1109/PACRIM.1991.160763
Filename
160763
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